Academic literature on the topic 'Holling type IV functional response'

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Journal articles on the topic "Holling type IV functional response"

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Hama, Mudhafar Fattah. "Dynamics of SVIS Model with Holling Type IV Functional Response." JOURNAL OF ADVANCES IN MATHEMATICS 11, no. 10 (2016): 5752–65. http://dx.doi.org/10.24297/jam.v11i10.804.

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In this paper, we will study the effect of some epidemic concepts such as immigrants and vaccine on the dynamical behaviour of epidemic models. The existence, uniqueness and boundedness of the solution are investigated. The local stability analyses of the system is carried out .The global dynamics of the system is investigated numerically.
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Rouzimaimaiti, Mahemuti, and Ablimit Akbar. "Permanence and extinction for a delayed periodic predator-prey system." Journal of Progressive Research in Mathematics 1, no. 1 (2015): 23–35. https://doi.org/10.5281/zenodo.3980863.

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In this paper, the permanence, extinction and periodic solution of a delayed periodic predator-prey system with Holling type IV functional response and stage structure for prey is studied. By means of comparison theorem, some sufficient and necessary conditions are derived for the permanence of the system.
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Jiao, Yu Juan. "Global Solutions of a Diffusive Predator-Prey Model with Holling IV Functional Response." Applied Mechanics and Materials 336-338 (July 2013): 664–67. http://dx.doi.org/10.4028/www.scientific.net/amm.336-338.664.

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Using the energy estimates and Gagliardo-Nirenberg type inequalities, the uniform boundedness and global existence of solutions for a predator-prey model with Holling IV functional response with self- and cross-diffusion are proved.
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Ghosh, Partha, Pritha Das, and Debasis Mukherjee. "Chaos to order — Effect of random predation in a Holling type IV tri-trophic food chain system with closure terms." International Journal of Biomathematics 09, no. 05 (2016): 1650073. http://dx.doi.org/10.1142/s179352451650073x.

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Complex dynamics of modified Hastings–Powell (HP) model (phytoplankton-zoo-plankton-fish) with Holling type IV functional response and density-dependent mortality (closure terms) for top predator species is investigated in this paper. Closure terms describe the mortality of top predator in plankton food chain models. Modified HP model with Holling type IV functional response gives rise to similar type of chaotic dynamics (inverted “teacup attractor”) as observed in original HP model with Holling type II functional response. It is observed that introduction of nonlinear closure terms eliminate
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Reyes-Bahamón, Francisco J., Simeón Casanova Trujillo, and Eduardo González-Olivares. "Dynamics of a Leslie-Gower type predation model with non-monotonic functional response and weak Allee effect on prey." Selecciones Matemáticas 10, no. 02 (2023): 310–23. http://dx.doi.org/10.17268/sel.mat.2023.02.07.

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This research concerns with analysis of a class of modified predator- prey type Leslie-Gower models. The model is described by an autonomous nonlinear ordinary differential equation system. The functional response of predators is Holling IV type or non-monotone, and the growth of prey is affected by the Allee effect. An important aspect is the study of the point (0, 0) since it has a strong influence on the behavior of the system being essential for the existence and extinction of both species, although the proposed system is not define there.
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Madhusudanan, V., and S. Vijaya. "Stability analysis in prey–predator system with mixed functional response." World Journal of Engineering 13, no. 4 (2016): 364–69. http://dx.doi.org/10.1108/wje-08-2016-048.

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Purpose This paper aims to propose and analyse a two-prey–one-predator system with mixed functional response. Design/methodology/approach The predator exhibits Holling type IV functional response to one prey and Holling type I response to other. The occurrence of various positive equilibrium points with feasibility conditions are determined. The local and global stability of interior equilibrium points are examined. The boundedness of system is analysed. The sufficient conditions for persistence of the system is obtained by using Bendixson–Dulac criteria. Numerical simulations are carried out
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Gazi, Nurul Huda, and Subrata Kumar Biswas. "Holling-Tanner Predator-Prey Model with Type-IV Functional Response and Harvesting." Interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity 10, no. 1 (2021): 151–59. http://dx.doi.org/10.5890/dnc.2021.03.011.

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Munde, Ashok. "Numerical Simulations of Prey-predator System with Holling Type-IV Functional Response." International Journal of Mathematics Trends and Technology 69, no. 4 (2023): 36–47. http://dx.doi.org/10.14445/22315373/ijmtt-v69i4p505.

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Yang, Deniu, Lihan Liu, and Hongyong Wang. "Traveling Wave Solution in a Diffusive Predator-Prey System with Holling Type-IV Functional Response." Abstract and Applied Analysis 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/409264.

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We establish the existence of traveling wave solution for a reaction-diffusion predator-prey system with Holling type-IV functional response. For simplicity, only one space dimension will be involved, the traveling solution equivalent to the heteroclinic orbits inR3. The methods used to prove the result are the shooting argument and the invariant manifold theory.
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Baek, Hunki. "A food chain system with Holling type IV functional response and impulsive perturbations." Computers & Mathematics with Applications 60, no. 5 (2010): 1152–63. http://dx.doi.org/10.1016/j.camwa.2010.05.039.

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Dissertations / Theses on the topic "Holling type IV functional response"

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Arancibia-Ibarra, Claudio Andres. "Temporal and spatio-temporal dynamics in predator-prey models." Thesis, Queensland University of Technology, 2020. https://eprints.qut.edu.au/204160/1/Claudio_Arancibia%20Ibarra_Thesis.pdf.

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This thesis analyses temporal and spatio-temporal modified Holling-Tanner predator-prey models with alternative food for predators. Different types of functional responses and a density-dependent phenomenon called Allee effect(s) on the prey were considered. By using analytical and numerical analysis, the stability of the equilibrium points for the different combinations of modifications were proven. The necessary conditions for the models to undergo a different type of bifurcation were illustrated. Additionally, this thesis has provided numerical evidence where the Turing instability leads to
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Mezzalira, Jean Carlos. "Taxa de ingestão potencial em pastejo : um estudo contrastando pastos de clima temperado e tropical." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2013. http://hdl.handle.net/10183/72757.

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Nesta tese investigaram-se relações de causa-efeito em curto prazo entre a estrutura do pasto e parâmetros do comportamento ingestivo de bovinos. Criaram-se contrastes de estruturas de pasto com uma espécie temperada e outra tropical e métodos de pastoreio (contínuo e rotativo). Os experimentos com Cynodon sp. cv. Tifton 85 (1 e 2) foram conduzidos entre janeiro e março de 2011. Os com Avena strigosa cv. Iapar 61 (3 e 4), entre julho e setembro de 2011. A altura de pasto que proporcionou a máxima taxa de ingestão (TI) no pastoreio contínuo foi considerada como altura pré-pastejo nos Experiment
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Pan, Hung-Lin, and 潘虹霖. "Dynamics of Three Species Food Chain Models with Holling type II Functional Response." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/58184847931367613229.

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碩士<br>淡江大學<br>數學學系碩士班<br>101<br>In this work, the three species food chain models which are the simplest biological models with three trophic levels are investigated. After a non-dimensionless transformation, the model is transformed to a three first order ordinary differential equations with six parameters. The boundedness and positivity of solution with positive initial conditions are first established. Then we classify the existence and local stability of all boundary equilibria. Moreover, we obtain a complete classification of parameter space. For each region of the classification, the ne
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Wang, Ching-Wen, and 王靜雯. "Dynamics of One-Predator-Two-Prey Food WebModels with Holling type II Functional Response." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/32726383010183166673.

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碩士<br>淡江大學<br>數學學系碩士班<br>101<br>In this work, we consider the one-predator-two-prey models with Holling type II functional response without competition between the two renewable base resource. We first establish the boundedness and positivity of solution with positive initial conditions. Then the existence and local stability of all boundary equilibria are clarified in ℝ3. Moreover, we use the death rate of predator
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Lin, Pei-Hsuan, and 林佩萱. "Dynamics of Two-Predators-One-Prey Food Web Models with Holling-type II Functional Response." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/99510512152754792804.

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碩士<br>淡江大學<br>數學學系碩士班<br>101<br>In the work, we consider the two-predator-one prey models with Holling type II functional response. First, we show that the model is dissipative and the existence, local stability of all boundary equilibrium are clarifi ed in R3 with some suitable conditions. Then it is verifi ed that the positive equilibrium does not exist generically which is the so-called Competitive Exclusion Principle. Moreover, we obtain a classifi cation of parameter space to clarify all local dynamics of the model and two global extinction results are showed analytically. Finally, numeri
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Book chapters on the topic "Holling type IV functional response"

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Kwessi, Eddy. "Hierarchical Model with Allee Effect, Immigration, and Holling Type II Functional Response." In Springer Proceedings in Mathematics & Statistics. Springer Nature Switzerland, 2025. https://doi.org/10.1007/978-3-031-82003-8_3.

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Liu, Jia, Hua Zhou, and Kai-yu Tong. "Stability of a Predator-Prey Model with Modified Holling-Type II Functional Response." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-31576-3_19.

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Bai, Hongfang, and Rui Xu. "Global Stability of a Delayed Eco-Epidemiological Model with Holling Type III Functional Response." In Operations Research and Optimization. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-10-7814-9_9.

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Elizabeth Sebastian, Priyanka Victor, and Preethi Victor. "Discrete-Time Eco-epidemiological Model with Disease in Prey and Holling Type III Functional Response." In Advances in Intelligent Systems and Computing. Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-10-0451-3_31.

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Kao, Yonggui, Changhong Wang, Hongwei Xia, and Yue Cao. "A Fractional-Order Food Chain System Incorporating Holling-II Type Functional Response and Prey Refuge." In Analysis and Control for Fractional-order Systems. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-99-6054-5_10.

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Tintinago-Ruíz, Paulo C., Leonardo D. Restrepo-Alape, and Eduardo González-Olivares. "Consequences of Weak Allee Effect in a Leslie–Gower-Type Predator–Prey Model with a Generalized Holling Type III Functional Response." In Analysis, Modelling, Optimization, and Numerical Techniques. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-12583-1_6.

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"Qualitative Analysis for Predator-Prey Systems with Time Delays and Simplified Holling Type-IV Functional Response." In International Conference on Computer Technology and Development, 3rd (ICCTD 2011). ASME Press, 2011. http://dx.doi.org/10.1115/1.859919.paper253.

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Hariprasad, S., M. A. S. Srinivas, N. PhaniKumar, Lavanya S, and D. Manohar. "Exploring the Dynamics of a Three-Species Eco-Epidemiological Model with Holling Type-II and Type-IV Functional Responses." In Mathematics and Computer Science: Research Updates Vol. 4. BP International, 2025. https://doi.org/10.9734/bpi/mcsru/v4/4897.

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"Positive steady states for a prey-predator cross-diffusion system with a protection zone and Holling type II functional response." In Conference Publications. AIMS Press, 2013. http://dx.doi.org/10.3934/proc.2013.2013.597.

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Ratnayake, Chathura B. B., N. L. Bekkali, Kofi W. Oppong, and Sanjay Pandanaboyana. "Biliary and pancreatic sphincter of Oddi disorder." In Duodenum and Small Bowel, edited by John A. Windsor, Sanjay Pandanaboyana, Anil K. Agarwal, Samiran Nundy, and Dirk J. Gouma. Oxford University PressOxford, 2022. http://dx.doi.org/10.1093/med/9780192862440.003.0006.

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Abstract Dysfunction of the sphincter of Oddi is considered to be due to an episodic increased pressure. The ROME III classification, the previously widely accepted framework for defining the condition, has now been replaced by the ROME IV classification. This is largely due to evidence from the EPISOD trial which indicated that sphincter of Oddi manometry did not predict the response to endoscopic sphincterotomy. A systematic and structured approach towards investigating patients who present with post-cholecystectomy biliary- or pancreatic-type pain is imperative in this complex group before their symptoms are attributed to sphincter of Oddi dysfunction. Endoscopic ultrasound can play an important role in identifying occult choledocholithiasis. Endoscopic retrograde cholangiopancreatography on the other hand carries risks in this setting and clear evidence for its benefit is limited to the management of common bile duct stones and papillary stenosis. Biliary and pancreatic sphincter of Oddi dysfunction is likely to be the cause of post-cholecystectomy pain in a small minority of these patients. The majority will have no structural cause identified and will have functional abdominal pain, the aetiology of which is unclear but represents a complex multifactorial disorder of the brain–gut axis.
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Conference papers on the topic "Holling type IV functional response"

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Yu, Jie, Fuqin Sun, and Yuyuan Chao. "Study of a Predator-Prey Model with Holling Type IV Functional Response." In 2020 6th International Conference on Control, Automation and Robotics (ICCAR). IEEE, 2020. http://dx.doi.org/10.1109/iccar49639.2020.9108023.

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Wang, Shufan, Zhihui Ma, Zizhen Li, and Wenlong Li. "Permanence of a stage-structured predator-prey system with Holling type IV functional response." In 2010 3rd International Congress on Image and Signal Processing (CISP). IEEE, 2010. http://dx.doi.org/10.1109/cisp.2010.5646760.

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Xue, Pan, Cuiping Ren, and Hailong Yuan. "The coexistence states for a predator-prey model with holling-type IV functional response." In INTERNATIONAL SYMPOSIUM ON THE FRONTIERS OF BIOTECHNOLOGY AND BIOENGINEERING (FBB 2019). AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5110795.

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Zhao, Hong-Wei. "Global Stability and Periodicity of Predator-Prey System with Holling IV Type Functional Response." In 2011 Fourth International Conference on Information and Computing (ICIC). IEEE, 2011. http://dx.doi.org/10.1109/icic.2011.68.

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Liu, Huaxiang. "Hopf Bifurcation in a Delayed Predator-Prey Model with a Holling-Type IV Functional Response." In 2009 International Conference on Artificial Intelligence and Computational Intelligence. IEEE, 2009. http://dx.doi.org/10.1109/aici.2009.248.

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Zhao, Ming. "Positive Periodic Solution of a Stage-Structured Species Model with Holling Type IV Functional Response and Cannibalism for Predator." In 2010 Third International Conference on Information and Computing Science (ICIC). IEEE, 2010. http://dx.doi.org/10.1109/icic.2010.22.

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Afiyah, Siti Nurul, Fatmawati, and Windarto. "Dynamical analysis of a leslie-gower predator-prey model with holling type IV functional response incorporating fear and allee effect." In THE INTERNATIONAL SYMPOSIUM ON BIOMATHEMATICS (SYMOMATH) 2023. AIP Publishing, 2025. https://doi.org/10.1063/5.0262460.

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Hadi, Hanna Rasool, and Azher Abbas Majeed. "The fear and anti-predator behavior effect on the dynamics of an ecological model with holling-type IV and Crowley-Martin-Type of functional responses." In FIFTH INTERNATIONAL CONFERENCE ON APPLIED SCIENCES: ICAS2023. AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0209445.

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Pradeep, M. Siva, T. Nandha Gopal, S. Magudeeswaran, N. P. Deepak, and S. Muthukumar. "Stability analysis of diseased preadator-prey model with holling type II functional response." In INTELLIGENT BIOTECHNOLOGIES OF NATURAL AND SYNTHETIC BIOLOGICALLY ACTIVE SUBSTANCES: XIV Narochanskie Readings. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0178563.

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Sa'adah, Titin Khilyatus, Cicik Alfiniyah, and Fatmawati. "Mathematical model of deforestation effects on wildlife with Holling type-II and type-III functional response." In INTERNATIONAL CONFERENCE ON MATHEMATICS, COMPUTATIONAL SCIENCES AND STATISTICS 2020. AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0042160.

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Reports on the topic "Holling type IV functional response"

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Dai, Ning, Qingyun He, Qiao Wen, et al. Placebo effect in patients with diarrhea-type irritable bowel syndrome: a literature review of randomized, placebo-controlled trials. INPLASY - International Platform of Registered Systematic Review and Meta-analysis Protocols, 2022. http://dx.doi.org/10.37766/inplasy2022.6.0019.

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Review question / Objective: The aim of this systematic review is to explore the magnitude of the placebo effect in randomized controlled trials for diarrhea-type irritable bowel syndrome and to understand possible relevant factors that affect the placebo effect. Condition being studied: Irritable bowel syndrome is a chronic functional gastrointestinal disorder characterized by abdominal pain related to defecation and a change in frequency and form of stool. Epidemiological study indicates that the prevalence of irritable bowel syndrome in different countries is high. It is estimated conservat
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Dai, Ning, Qingyun He, Qiao Wen, et al. Placebo effect in patients with diarrhea-type irritable bowel syndrome: a literature review of randomized, placebo-controlled trials. INPLASY - International Platform of Registered Systematic Review and Meta-analysis Protocols, 2022. http://dx.doi.org/10.37766/inplasy2022.6.0019.

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Review question / Objective: The aim of this systematic review is to explore the magnitude of the placebo effect in randomized controlled trials for diarrhea-type irritable bowel syndrome and to understand possible relevant factors that affect the placebo effect. Condition being studied: Irritable bowel syndrome is a chronic functional gastrointestinal disorder characterized by abdominal pain related to defecation and a change in frequency and form of stool. Epidemiological study indicates that the prevalence of irritable bowel syndrome in different countries is high. It is estimated conservat
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Eldar, Avigdor, and Donald L. Evans. Streptococcus iniae Infections in Trout and Tilapia: Host-Pathogen Interactions, the Immune Response Toward the Pathogen and Vaccine Formulation. United States Department of Agriculture, 2000. http://dx.doi.org/10.32747/2000.7575286.bard.

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In Israel and in the U.S., Streptococcus iniae is responsible for considerable losses in various fish species. Poor understanding of its virulence factors and limited know-how-to of vaccine formulation and administration are the main reasons for the limited efficacy of vaccines. Our strategy was that in order to Improve control measures, both aspects should be equally addressed. Our proposal included the following objectives: (i) construction of host-pathogen interaction models; (ii) characterization of virulence factors and immunodominant antigens, with assessment of their relative importance
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