Order and Chaos in a Prey-Predator Model Incorporating Refuge, Disease, and Harvesting

Autor:	Huda Abdul Satar, Hiba Abdullah Ibrahim, Dahlia Khaled Bahlool
Rok vydání:	2020
Předmět:	Equilibrium point Article Subject Computer simulation Applied Mathematics Functional response Chaotic 01 natural sciences 010305 fluids & plasmas Predation 010101 applied mathematics Nonlinear Sciences::Adaptation and Self-Organizing Systems Bounded function 0103 physical sciences QA1-939 Quantitative Biology::Populations and Evolution Applied mathematics Uniqueness 0101 mathematics Predator Mathematics
Zdroj:	Journal of Applied Mathematics, Vol 2020 (2020)
ISSN:	1687-0042 1110-757X
Popis:	In this paper, a mathematical model consisting of a prey-predator system incorporating infectious disease in the prey has been proposed and analyzed. It is assumed that the predator preys upon the nonrefugees prey only according to the modified Holling type-II functional response. There is a harvesting process from the predator. The existence and uniqueness of the solution in addition to their bounded are discussed. The stability analysis of the model around all possible equilibrium points is investigated. The persistence conditions of the system are established. Local bifurcation analysis in view of the Sotomayor theorem is carried out. Numerical simulation has been applied to investigate the global dynamics and specify the effect of varying the parameters. It is observed that the system has a chaotic dynamics.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fa20e37c2528bff0fc79645763583dff https://doi.org/10.1155/2020/5373817 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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