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1

Xu, Changjin, and Peiluan Li. "Dynamics in a discrete predator-prey system with infected prey." Mathematica Bohemica 139, no. 3 (2014): 511–34. http://dx.doi.org/10.21136/mb.2014.143939.

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2

Schmitz, Oswald. "Predator and prey functional traits: understanding the adaptive machinery driving predator–prey interactions." F1000Research 6 (September 27, 2017): 1767. http://dx.doi.org/10.12688/f1000research.11813.1.

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Predator–prey relationships are a central component of community dynamics. Classic approaches have tried to understand and predict these relationships in terms of consumptive interactions between predator and prey species, but characterizing the interaction this way is insufficient to predict the complexity and context dependency inherent in predator–prey relationships. Recent approaches have begun to explore predator–prey relationships in terms of an evolutionary-ecological game in which predator and prey adapt to each other through reciprocal interactions involving context-dependent expressi
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3

Clements, Hayley S., Craig J. Tambling, and Graham I. H. Kerley. "Prey morphology and predator sociality drive predator prey preferences." Journal of Mammalogy 97, no. 3 (2016): 919–27. http://dx.doi.org/10.1093/jmammal/gyw017.

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4

Yang, Wensheng, and Miqin Chen. "The Impact of Predator-dependent Prey Refuge on the Dynamics of a Leslie-Gower Predator-prey Model." Asian Research Journal of Mathematics 19, no. 11 (2023): 203–11. http://dx.doi.org/10.9734/arjom/2023/v19i11766.

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In this paper, we propose a new Leslie-Gower predator-prey model with predator-dependent prey refuge. Firstly, we obtain the positivity and boundedness of the system solution. Secondly, we prove that the origin is unstable using blow-up method, analyze the existence and local stability of the boundary equilibrium point and positive equilibrium point, and prove that the unique positive equilibrium point of the system is globally asymptotically stable by constructing a suitable Dulac function. Finally, mathematic analysis and numerical simulation show that: (1) when the strength of the predator-
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5

Brown, Joel S., Keren Embar, Eric Hancock, and Burt P. Kotler. "Predators risk injury too: the evolution of derring-do in a predator–prey foraging game." Israel Journal of Ecology and Evolution 62, no. 3-4 (2016): 196–204. http://dx.doi.org/10.1080/15659801.2016.1207298.

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Derring-do is how aggressive a predator is in stalking and capturing prey. We model predator–prey interactions in which prey adjust vigilance behavior to mitigate risk of predation and predators their derring-do to manage risk of injury from capturing prey. High derring-do increases a predator's likelihood of capturing prey, but at higher risk of injury to itself. For fixed predator derring-do, prey increase vigilance in response to predator abundance, predator lethality, and predator encounter probability with prey and decrease vigilance with their own feeding rate; there is a humped-shaped r
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6

Lemos, Walkymário Paulo, José Cola Zanuncio, and José Eduardo Serrão. "Attack behavior of Podisus rostralis (Heteroptera: Pentatomidade) adults on caterpillars of Bombyx mori (Lepidoptera: Bombycidae)." Brazilian Archives of Biology and Technology 48, no. 6 (2005): 975–81. http://dx.doi.org/10.1590/s1516-89132005000800014.

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Attack behavior of the predator Podisus rostralis (Stäl) (Heteroptera: Pentatomidae) adults on fourth instar Bombyx mori L. (Lepidoptera: Bombycidae) caterpillars was studied in laboratory conditions. Ten 24 hours old adults of this predator were observed during two hours with the following attack behavior: (1) Predator: prey finding; prey observation; touching prey with antenna; attack behavior; prey paralysis; predator retreat after attack; attack cessation; successive attacks; and (2) Prey: defense. The predator P. rostralis found its prey before attacking and it approached it with slow cir
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7

Chakraborty, Deep Chandan. "Dynamics of Predator-prey Interactions in Sharp Tooth Catfish (Clarias gariepinus; Burchell, 1822) and Carp Fingerlings (Labeo bata; Hamilton, 1822) with Special Reference to the Development of Anti-Predatory Strategies." UTTAR PRADESH JOURNAL OF ZOOLOGY 46, no. 1 (2025): 227–36. https://doi.org/10.56557/upjoz/2025/v46i14757.

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This study explores the dynamics of predator-prey interactions and functional response of Clarias gariepinus (African Magur/Sharptooth Catfish - predator) and of Labeo bata (Carp fingerlings - prey). Author investigated the behavioral patterns of both species in isolation and during encounters, exploring the impacts of predator size, prey-predator ratio, encounter duration and placement of separators on anti-predatory strategies. Results indicated that prey behavior is influenced by predator presence, with crowding, hiding, and inspection emerging as key anti-predatory strategies. The developm
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8

Troy, Maria Holmgren. "Predator and Prey." Edda 104, no. 02 (2017): 130–44. http://dx.doi.org/10.18261/issn.1500-1989-2017-02-04.

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9

Kraines, David P., and Vivian Y. Kraines. "Predator-Prey Model." College Mathematics Journal 22, no. 2 (1991): 160. http://dx.doi.org/10.2307/2686456.

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10

Agger, William A. "Predator and Prey." Annals of Internal Medicine 119, no. 6 (1993): 526. http://dx.doi.org/10.7326/0003-4819-119-6-199309150-00014.

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11

Mehlum, Halvor, Karl Moene, and Ragnar Torvik. "Predator or prey?" European Economic Review 47, no. 2 (2003): 275–94. http://dx.doi.org/10.1016/s0014-2921(01)00194-5.

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12

Tilahun, Surafel Luleseged. "Prey predator hyperheuristic." Applied Soft Computing 59 (October 2017): 104–14. http://dx.doi.org/10.1016/j.asoc.2017.04.044.

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13

Hoppensteadt, Frank. "Predator-prey model." Scholarpedia 1, no. 10 (2006): 1563. http://dx.doi.org/10.4249/scholarpedia.1563.

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14

Purdy, Laurence J. "Predator and Prey." JAMA: The Journal of the American Medical Association 263, no. 4 (1990): 523. http://dx.doi.org/10.1001/jama.1990.03440040062029.

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15

Taufiq, Irham, and Denik Agustito. "Model Predator-Prey dengan Dua Predator dan Satu Prey Terinfeksi." Indonesian Journal of Mathematics Education 1, no. 1 (2018): 8. http://dx.doi.org/10.31002/ijome.v1i1.887.

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<p>Di dalam penelitian ini, telah dibahas model matematika yang menunjukkan interaksi antara satu <em>prey</em> rentan dan <em>prey</em> terinfeksi dengan dua <em>predator</em>. Interaksi antara <em>predator</em> dan <em>prey</em> menggunakan fungsi respon Holling tipe II. Pertumbuhan <em>predator</em> dan <em>prey</em> menggunakan fungsi logistik. Dari model tersebut diperoleh delapan titik ekuilibrium. Kestabilan lokal masing-masing titik ekuilibrium dianalisis dengan metode linierisasi. Kemudian simula
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16

Takyi, Eric M., Kasey Cooper, Kya Jones, and Vincent T. Teyekpiti. "On Predator-Prey Dynamics: Incorporating Prey Vigilance and Predator Competition." Journal of Applied Nonlinear Dynamics 14, no. 3 (2025): 685–704. https://doi.org/10.5890/jand.2025.09.012.

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17

Nakazawa, Takefumi, Shin-ya Ohba, and Masayuki Ushio. "Predator–prey body size relationships when predators can consume prey larger than themselves." Biology Letters 9, no. 3 (2013): 20121193. http://dx.doi.org/10.1098/rsbl.2012.1193.

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As predator–prey interactions are inherently size-dependent, predator and prey body sizes are key to understanding their feeding relationships. To describe predator–prey size relationships (PPSRs) when predators can consume prey larger than themselves, we conducted field observations targeting three aquatic hemipteran bugs, and assessed their body masses and those of their prey for each hunting event. The data revealed that their PPSR varied with predator size and species identity, although the use of the averaged sizes masked these effects. Specifically, two predators had slightly decreased p
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18

Putri, Riris Nur Patria, Windarto Windarto, and Cicik Alfiniyah. "Analisis Kestabilan Model Predator-Prey dengan Adanya Faktor Tempat Persembunyian Menggunakan Fungsi Respon Holling Tipe III." Contemporary Mathematics and Applications (ConMathA) 3, no. 2 (2021): 88. http://dx.doi.org/10.20473/conmatha.v3i2.30493.

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Predation is interaction between predator and prey, where predator preys prey. So predators can grow, develop, and reproduce. In order for prey to avoid predators, then prey needs a refuge. In this thesis, a predator-prey model with refuge factor using Holling type III response function which has three populations, i.e. prey population in the refuge, prey population outside the refuge, and predator population. From the model, three equilibrium points were obtained, those are extinction of the three populations which is unstable, while extinction of predator population and coexistence are asymp
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19

Fardinah, Fardinah. "Analisis Model Mangsa Pemangsa dengan Adanya Penyakit dan Pemanenan pada Pemangsa." Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika 6, no. 1 (2023): 122–29. http://dx.doi.org/10.30605/proximal.v6i1.2167.

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The interaction between two populations that are prey and predator can be described in a prey-predator model. In fact, in the interaction of prey and predators it can occur that when the density of prey is low, the effect of predation is also low, but if the size of the prey population increases, predation will be more intense which is stated in the Holling III Type response function model. In addition, it can also be found in an environment where there are populations of sick predator that result in death from the disease. This study aims to analyze the stability of the prey-predator model wi
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20

Nugroho, Danar Agus, and Rina Reorita. "MODEL PREDATOR-PREY DENGAN DUA PREDATOR." Jurnal Ilmiah Matematika dan Pendidikan Matematika 5, no. 1 (2013): 43. http://dx.doi.org/10.20884/1.jmp.2013.5.1.2915.

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This paper discussed about the predator-prey model with two predators. This model is a development of the model given by Korobeinikov and Wake (1999). Dynamic behavior of the model can be determined based on the stability of the equilibrium point. The stability of the equilibrium point of predator-prey model with two predators on the general ecosystem shows that there is no coexistence state (grown in tandem) on both predators and for a long time one of the predators will lead to the local extinction even though there is no competition between the two predators. Furthermore, this model is appl
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21

Cairns, Johannes, Felix Moerman, Emanuel A. Fronhofer, Florian Altermatt, and Teppo Hiltunen. "Evolution in interacting species alters predator life-history traits, behaviour and morphology in experimental microbial communities." Proceedings of the Royal Society B: Biological Sciences 287, no. 1928 (2020): 20200652. http://dx.doi.org/10.1098/rspb.2020.0652.

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Predator–prey interactions heavily influence the dynamics of many ecosystems. An increasing body of evidence suggests that rapid evolution and coevolution can alter these interactions, with important ecological implications, by acting on traits determining fitness, including reproduction, anti-predatory defence and foraging efficiency. However, most studies to date have focused only on evolution in the prey species, and the predator traits in (co)evolving systems remain poorly understood. Here, we investigated changes in predator traits after approximately 600 generations in a predator–prey (c
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22

Lawson, Riley R., Dillon T. Fogarty, and Scott R. Loss. "Use of visual and olfactory sensory cues by an apex predator in deciduous forests." Canadian Journal of Zoology 97, no. 5 (2019): 488–94. http://dx.doi.org/10.1139/cjz-2018-0134.

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Predator–prey interactions influence behaviors and life-history evolution for both predator and prey species and also have implications for biodiversity conservation. A fundamental goal of ecology is to clarify mechanisms underlying predator–prey interactions and dynamics. To investigate the role of predator sensory mechanisms in predator–prey interactions, specifically in predator detection of prey, we experimentally evaluated importance of visual and olfactory cues for an apex predator, the coyote (Canis latrans Say, 1823). Unlike similar studies, we examined use of sensory cues in a field s
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23

Sun, Xiaodan, Yingping Li, and Yanni Xiao. "A Predator–Prey Model with Prey Population Guided Anti-Predator Behavior." International Journal of Bifurcation and Chaos 27, no. 07 (2017): 1750099. http://dx.doi.org/10.1142/s0218127417500997.

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We consider a predator–prey system with prey population guided anti-predator behavior, in which anti-predator behaviors happen only when the population size of the prey is greater than a threshold. We investigate the rich dynamics of the proposed piecewise model as well as both subsystems without and with nonlinear functional response. In particular, the subsystem with anti-predator behaviors exhibits rich dynamical behaviors including saddle-node bifurcation, Hopf bifurcation, Bogdanov–Takens bifurcation and homoclinic bifurcation. Further, besides the dynamical properties of subsystems the p
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24

Kaitala, Veijo, Mikko Koivu-Jolma, and Jouni Laakso. "Infective prey leads to a partial role reversal in a predator-prey interaction." PLOS ONE 16, no. 9 (2021): e0249156. http://dx.doi.org/10.1371/journal.pone.0249156.

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An infective prey has the potential to infect, kill and consume its predator. Such a prey-predator relationship fundamentally differs from the predator-prey interaction because the prey can directly profit from the predator as a growth resource. Here we present a population dynamics model of partial role reversal in the predator-prey interaction of two species, the bottom dwelling marine deposit feeder sea cucumber Apostichopus japonicus and an important food source for the sea cucumber but potentially infective bacterium Vibrio splendidus. We analyse the effects of different parameters, e.g.
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25

Saha, Sangeeta, and Guruprasad Samanta. "Modelling of a two prey and one predator system with switching effect." Computational and Mathematical Biophysics 9, no. 1 (2021): 90–113. http://dx.doi.org/10.1515/cmb-2020-0120.

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Abstract Prey switching strategy is adopted by a predator when they are provided with more than one prey and predator prefers to consume one prey over others. Though switching may occur due to various reasons such as scarcity of preferable prey or risk in hunting the abundant prey. In this work, we have proposed a prey-predator system with a particular type of switching functional response where a predator feeds on two types of prey but it switches from one prey to another when a particular prey population becomes lower. The ratio of consumption becomes significantly higher in the presence of
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26

Sih, Andrew. "Prey refuges and predator-prey stability." Theoretical Population Biology 31, no. 1 (1987): 1–12. http://dx.doi.org/10.1016/0040-5809(87)90019-0.

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27

Rahmawati, Ruli, and Dian Savitri. "Model Lotka-Volterra yang Mempertimbangkan Efek Ketakutan pada Prey dengan Fungsi Respon Holling Tipe II." MATHunesa: Jurnal Ilmiah Matematika 11, no. 2 (2023): 304–9. http://dx.doi.org/10.26740/mathunesa.v11n2.p304-309.

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Interaksi antar populasi pada ekosistem sawah antara burung hantu (Tyto alba) dengan tikus sawah (Rattus argentiventer) direpresentasikan sebagai model predator-prey yang mempertimbangkan efek ketakutan. Interaksi dua populasi ini menggunakan fungsi respon Holling tipe II. Model predator-prey ini dikonstruksi berdasarkan asumsi perilaku prey yaitu tikus sawah yang memiliki efek ketakutan terhadap predator burung hantu. Berdasarkan beberapa jurnal rujukan yang dikembangkan dengan pola pemangsaan menggunakan fungsi respon Holling tipe II. Analisis perhitungan pada penelitian ini dilakukan dengan
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28

Belgrad, Benjamin A., and Blaine D. Griffen. "Predator–prey interactions mediated by prey personality and predator hunting mode." Proceedings of the Royal Society B: Biological Sciences 283, no. 1828 (2016): 20160408. http://dx.doi.org/10.1098/rspb.2016.0408.

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Predator–prey interactions are important drivers in structuring ecological communities. However, despite widespread acknowledgement that individual behaviours and predator species regulate ecological processes, studies have yet to incorporate individual behavioural variations in a multipredator system. We quantified a prevalent predator avoidance behaviour to examine the simultaneous roles of prey personality and predator hunting mode in governing predator–prey interactions. Mud crabs, Panopeus herbstii , reduce their activity levels and increase their refuge use in the presence of predator cu
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29

Mahmudah, Wilda, and Mohammad Rifai. "Analisis Kestabilan Model Prey-Predator dengan Penambahan Makanan Alternatif dan Fungsi Respon Holling Tipe III." Buana Matematika : Jurnal Ilmiah Matematika dan Pendidikan Matematika 10, no. 2 (2020): 133–46. http://dx.doi.org/10.36456/buanamatematika.v10i2.2728.

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Model prey-predator merupakan model interaksi dan pola perilaku antara dua spesies. Hubungan interaksi tersebut dinyatakan dalam bentuk model sistem dinamik atau persamaan differesial yang bergantung pada waktu. Pada kenyataan di lapangan predator sering mencari mangsa lain ketika jumlah mangsa yang biasa dimakannya menurun, sehingga perlu adanya penambahan makanan alternatif dan juga fungsi respon Holling pada model prey-predator yang ada. Pada penelitian ini, dilakukan analisis kestabilan pada model sistem prey-predator dengan penambahan makanan alternatif dan fungsi respon holling tipe III.
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30

Gibert, Jean P., and John P. DeLong. "Temperature alters food web body-size structure." Biology Letters 10, no. 8 (2014): 20140473. http://dx.doi.org/10.1098/rsbl.2014.0473.

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The increased temperature associated with climate change may have important effects on body size and predator–prey interactions. The consequences of these effects for food web structure are unclear because the relationships between temperature and aspects of food web structure such as predator–prey body-size relationships are unknown. Here, we use the largest reported dataset for marine predator–prey interactions to assess how temperature affects predator–prey body-size relationships among different habitats ranging from the tropics to the poles. We found that prey size selection depends on pr
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31

Khadijah, Mustika, Yuni Yulida, and Dewi Sri Susanti. "MODEL MANGSA-PEMANGSA DENGAN FUNGSI RESPON HOLLING DAN PEMANENAN." EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN 15, no. 2 (2022): 93. http://dx.doi.org/10.20527/epsilon.v15i2.4593.

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The mathematical model of prey-predator interaction is one of the stages of solving mathematical problems by simplifying events that occur in mathematical form. In this research, we discuss a prey-predator model using a type II Holling response function without harvesting and a prey-predator model using a type II Holling response function with harvesting. The purpose of this research was to explain the formation of a prey-predator model with a type II Holling response and a preypredator model with a type II Holling response with harvesting, to determine the stability at the equilibrium point o
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32

Walzer, Andreas, and Peter Schausberger. "Integration of multiple cues allows threat-sensitive anti-intraguild predator responses in predatory mites." Behaviour 150, no. 2 (2013): 115–32. http://dx.doi.org/10.1163/1568539x-00003040.

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Intraguild (IG) prey is commonly confronted with multiple IG predator species. However, the IG predation (IGP) risk for prey is not only dependent on the predator species, but also on inherent (intraspecific) characteristics of a given IG predator such as its life-stage, sex or gravidity and the associated prey needs. Thus, IG prey should have evolved the ability to integrate multiple IG predator cues, which should allow both inter- and intraspecific threat-sensitive anti-predator responses. Using a guild of plant-inhabiting predatory mites sharing spider mites as prey, we evaluated the effect
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33

M.F. Alhegazi, Zainb, and Hanan amhimmid Ali amhimmid. "On Stability Properties In Prey-Prodator Model With General Incidence." المجلة الليبية العالمية, no. 66 (June 17, 2024): 1–10. http://dx.doi.org/10.37376/glj.vi66.5890.

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In this paper we consider a prey-predator systems that the susceptibleand infected prey population are predated by predator species .Also we discuss different models of prey-predator systems With general incidence H ( S,I)The aim of this paper is to study the dynamic of prey-predator model by different techniques with a generalized incidence .
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34

Zhang, Hui, Zhihui Ma, Gongnan Xie, and Lukun Jia. "Effects of Behavioral Tactics of Predators on Dynamics of a Predator-Prey System." Advances in Mathematical Physics 2014 (2014): 1–10. http://dx.doi.org/10.1155/2014/375236.

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A predator-prey model incorporating individual behavior is presented, where the predator-prey interaction is described by a classical Lotka-Volterra model with self-limiting prey; predators can use the behavioral tactics of rock-paper-scissors to dispute a prey when they meet. The predator behavioral change is described by replicator equations, a game dynamic model at the fast time scale, whereas predator-prey interactions are assumed acting at a relatively slow time scale. Aggregation approach is applied to combine the two time scales into a single one. The analytical results show that predat
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35

Fardinah, Darma Ekawati, Hikmah Hikmah, and Hirman Rachman. "Model Predator-Prey Leslie-Gower dengan Fungsi Respon Sokol-Howell dan Perilaku Anti Predator." Journal of Mathematics: Theory and Applications 6, no. 1 (2024): 19–30. http://dx.doi.org/10.31605/jomta.v6i1.2971.

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This study discusses the Leslie-Gower predator-prey model with the Sokol-Howell response function and anti-predator behavior. It is assumed that prey has anti-predator behavior that aims to reduce the risk of predation and not as an attempt by prey to find food. This study aims to formulate a Leslie-Gower predator-prey model with the Sokol-Howell response function and anti-predator behavior, analyze the model's equilibrium point and model interpretation. Stability analysis was carried out using the linearization method. The type of stability is determined based on the characteristic eigenvalue
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36

Kisoma, Linus Nyarusanda. "Modelling Seasonal Migration Patterns of Wildebeest under Climate-Driven Changes: A Predator-Prey Model with De Angelis Functional Response." Asian Research Journal of Mathematics 21, no. 2 (2025): 23–34. https://doi.org/10.9734/arjom/2025/v21i2890.

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This study models the dynamics of a predator-prey system influenced by seasonal resource availability and prey migration. A two-dimensional spatial model simulates prey and predator populations, where prey growth is driven by seasonal resource fluctuations, and migration is guided by the spatial distribution of resources. The results show that higher resources during the wet season leads to increased prey density and migration, while lower resources in the dry season reduce prey growth and movement. Predator populations follow prey density changes, with a delayed increase in response to prey p
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37

Dwi Putra, M. Adib Jauhari, and Ade Ima Afifa Himayati. "Stability Analysis of Leslie-Gower Model with Herd Behavior on Prey." InPrime: Indonesian Journal of Pure and Applied Mathematics 4, no. 1 (2022): 65–71. http://dx.doi.org/10.15408/inprime.v4i1.24464.

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AbstractWe studied the Leslie-Gower model of predator-prey with herd behavior. The square root functional response models predator and prey interactions that show herd behavior. This study aims to determine the formulation of the predator-prey model with herd behavior on prey, knowing the fixed points and its stability and simulating the model numerically. We found three fixed points that may exist: the extinction point of both species, the extinction of predator point, and the point of coexistence of the two species. The extinction of predator points is always unstable, while the point of coe
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38

Fitria, Vivi Aida. "Analisis Sistem Persamaan Diferensial Model Predator-prey dengan Perlambatan." CAUCHY 2, no. 1 (2011): 41. http://dx.doi.org/10.18860/ca.v2i1.1807.

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<div class="standard"><a id="magicparlabel-2437">Model predator-prey dengan perlambatan merupakan model interaksi dua spesies antara mangsa dan pemangsa yang berbentuk sistem persamaan diferensial tak liner. Adanya waktu perlambatan sangat mempengaruhi kestabilan titik ekuilibrium sistem persamaan diferensial model predator-prey. Penelitian ini bertujuan untuk menganalisis pengaruh waktu perlambatan terhadap kestabilan titik ekuilibrium sistem persamaan diferensial model predator-prey. Namun sebelum itu, agar dapat diketahui asal mula pembentukan model predator-prey dengan perlamba
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39

Mata, Cristina, Jesús Herranz, and Juan E. Malo. "Attraction and Avoidance between Predators and Prey at Wildlife Crossings on Roads." Diversity 12, no. 4 (2020): 166. http://dx.doi.org/10.3390/d12040166.

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Wildlife passages are currently built at roads and railway lines to re-establish connectivity. However, little is known about whether predator-prey interactions may reduce the effectiveness of the crossing structures. We evaluated the co-occurrence patterns of predator-prey species-pairs at 113 crossing structures, noting their coincidence at the same structure and/or on the same day. We built occupancy models using presence-absence matrices for three prey and five predator types obtained during 2076 passage-days of monitoring. The results indicate that predators and prey do not use passages i
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40

SHOLIHAH, TYAN HIDAYATUS. "MODEL MATEMATIKA MANGSA PEMANGSA TIGA SPESIES DENGAN FUNGSI RESPON HOLLING TIPE II DAN HOLLING TIPE IV SERTA PEMANENAN PADA POPULASI MANGSA." MATHunesa: Jurnal Ilmiah Matematika 8, no. 2 (2020): 168–73. http://dx.doi.org/10.26740/mathunesa.v8n2.p168-173.

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In this world, living things are interdependent. Every living creature needs another living creature, so there is an interaction between the two. One of interactions that occur in mini style is predator prey interaction. The interaction of prey and predator in the world of ecology is an important and interesting thing to discuss. Therefore many researchers make mathematical models of predator prey to find out the interacions of these prey predators. In this study involved three species, namely two species of prey and one species of predator. Concerning predatory prey behavior with Holling type
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41

Juanes, Francis. "A length-based approach to predator–prey relationships in marine predators." Canadian Journal of Fisheries and Aquatic Sciences 73, no. 4 (2016): 677–84. http://dx.doi.org/10.1139/cjfas-2015-0159.

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Body size is a critical feature of the ecology of most organisms and has been used to describe and understand predator–prey interactions in both terrestrial and aquatic environments. Most previous studies have used prey mass to examine the relationships between predator size and prey size; however, using prey lengths may provide a different perspective, particularly for gape-limited fishes. Using a large database of predator and prey lengths for marine aquatic predators, I found the expected positive wedge-shaped relationship between predator length and prey length and a negative converging re
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42

Liu, Lingyu, Xiaobo Li, and Pengcheng Li. "Dynamics for a Ratio-Dependent Prey–Predator Model with Different Free Boundaries." Mathematics 12, no. 12 (2024): 1897. http://dx.doi.org/10.3390/math12121897.

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In this paper, we study the dynamics of the ratio-dependent type prey–predator model with different free boundaries. The two free boundaries, determined by prey and predator, respectively, implying that they may intersect with each other as time evolves, are used to describe the spreading of prey and predator. Our primary focus lies in analyzing the long-term behaviors of both predator and prey. We establish sufficient conditions for the spreading and vanishing of prey and predator. Furthermore, in cases where spread occurs, we offer estimates for the asymptotic spreading speeds of prey and pr
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Guzman, Laura Melissa, and Diane S. Srivastava. "Prey body mass and richness underlie the persistence of a top predator." Proceedings of the Royal Society B: Biological Sciences 286, no. 1902 (2019): 20190622. http://dx.doi.org/10.1098/rspb.2019.0622.

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Predators and prey often differ in body mass. The ratio of predator to prey body mass influences the predator's functional response (how consumption varies with prey density), and therefore, the strength and stability of the predator–prey interaction. The persistence of food chains is maximized when prey species are neither too big nor too small relative to their predator. Nonetheless, we do not know if (i) food web persistence requires that all predator–prey body mass ratios are intermediate, nor (ii) if this constraint depends on prey diversity. We experimentally quantified the functional re
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Abdul Manaf, Zati Iwani, and Mohd Hafiz Mohd. "The Effects of Varying Predator Dispersal Strength on Prey-Predator Dynamics with Refuge Process." Malaysian Journal of Fundamental and Applied Sciences 19, no. 5 (2023): 791–803. http://dx.doi.org/10.11113/mjfas.v19n5.3088.

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The combined effects of (symmetric or asymmetric) dispersal and refuge mechanisms can have a significant impact on prey-predator dynamics. However, there remains a knowledge gap in concerning the incorporation of asymmetrical dispersal in the presence of prey refuges. Therefore, this paper aims to examine the influence of varying levels of asymmetrical (i.e., predator) dispersal on the interactions between prey and predators, as well as the role of prey refuges in facilitating species coexistence. The investigation begins by introducing an ordinary differential equation (ODE) model for the pre
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45

Lundvall, David, Richard Svanbäck, Lennart Persson, and Pär Byström. "Size-dependent predation in piscivores: interactions between predator foraging and prey avoidance abilities." Canadian Journal of Fisheries and Aquatic Sciences 56, no. 7 (1999): 1285–92. http://dx.doi.org/10.1139/f99-058.

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Body size is known to play a crucial role in predator-prey interactions. For a given predator size, it has been suggested that prey mortality should be a dome-shaped function dependent on prey body size. In this study, we experimentally tested (i) the suggested mechanisms responsible for the dome-shaped prey vulnerability function and (ii) whether a prey refuge affected the form of this function. As prey, we used young-of-the-year Eurasian perch (Perca fluviatilis), and as predator, larger Eurasian perch. The prey mortality as a function of prey size was dome shaped for large and medium predat
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Belew, Basaznew, and Dawit Melese. "Modeling and Analysis of Predator-Prey Model with Fear Effect in Prey and Hunting Cooperation among Predators and Harvesting." Journal of Applied Mathematics 2022 (December 3, 2022): 1–14. http://dx.doi.org/10.1155/2022/2776698.

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In this paper, we present and analyze predator-prey system where prey population is linearly harvested and affected by fear and the prey population has grown logistically in the absence of predators. The predator population follows hunting cooperation, and it predates the prey population in the Holling type II functional responses. Based on those assumptions, a two-dimensional mathematical model is derived. The positivity, boundedness, and extinction of both prey and predator populations of the solution of the system are discussed. The existence, stability (local and global), and the Hopf bifu
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Floeter, Jens, and Axel Temming. "Analysis of prey size preference of North Sea whiting, saithe, and grey gurnard." ICES Journal of Marine Science 62, no. 5 (2005): 897–907. http://dx.doi.org/10.1016/j.icesjms.2005.03.004.

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Abstract Size preference for prey fish of North Sea whiting, saithe, and grey gurnard was analysed. The analysis combined size-specific prey abundance estimates derived from bottom-trawl surveys with size frequencies of prey in predator stomachs from the International North Sea Stomach Database. To estimate the abundance of all potential prey fish in the sea, predator-specific length-based number spectra were calculated. Prey spectra were weighted by local predator abundance to take the spatial–temporal overlap between predator and their prey into consideration. Species-specific prey size pref
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Ah, Nurul Imamah, Wuryansari Muharini Kusumawinahyu, Agus Suryanto, and Trisilowati Trisilowati. "The Dynamics of a Predator-Prey Model Involving Disease Spread In Prey and Predator Cannibalism." Jambura Journal of Biomathematics (JJBM) 4, no. 2 (2023): 119–25. http://dx.doi.org/10.37905/jjbm.v4i2.21495.

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In this article, dynamics of predator prey model with infection spread in prey and cannibalism in predator is analyzed. The model has three populations, namely susceptible prey, infected prey, and predator. It is assumed that there is no migration in both prey and predator populations. The dynamical analysis shows that the model has six equilibria, namely the trivial equilibrium point, the prey extinction point, the disease free and predator extinction equilibrium point, the disease-free equilibrium point, the predator extinction equilibrium point, and the coexistence equilibrium point. The fi
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Huang, Xuming, Xiangzeng Kong, and Wensheng Yang. "Permanence of Periodic Predator-Prey System with General Nonlinear Functional Response and Stage Structure for Both Predator and Prey." Abstract and Applied Analysis 2009 (2009): 1–8. http://dx.doi.org/10.1155/2009/481712.

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We study the permanence of periodic predator-prey system with general nonlinear functional responses and stage structure for both predator and prey and obtain that the predator and the prey species are permanent.
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Zhang, Yuxuan, Xinmiao Rong, and Jimin Zhang. "A diffusive predator-prey system with prey refuge and predator cannibalism." Mathematical Biosciences and Engineering 16, no. 3 (2019): 1445–70. http://dx.doi.org/10.3934/mbe.2019070.

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