A careful study of the effect of the infectious diseases and refuge on the dynamical behavior of prey-scavenger modeling

Rasha Majeed Yaseen, Hassan Fadhil Al-Husseiny

Abstract


In this paper, the dynamics of scavenger species predation of both susceptible and infected prey at different rates with prey refuge is mathematically proposed and studied. It is supposed that the disease was spread by direct contact between susceptible prey with infected prey described by Holling type-II infection function. The existence, uniqueness, and boundedness of the solution are investigated. The stability constraints of all equilibrium points are determined. In addition to establishing some sufficient conditions for global stability of them by using suitable Lyapunov functions. Finally, these theoretical results are shown and verified with numerical simulations.

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Published: 2022-03-07

How to Cite this Article:

Rasha Majeed Yaseen, Hassan Fadhil Al-Husseiny, A careful study of the effect of the infectious diseases and refuge on the dynamical behavior of prey-scavenger modeling, Commun. Math. Biol. Neurosci., 2022 (2022), Article ID 24

Copyright © 2022 Rasha Majeed Yaseen, Hassan Fadhil Al-Husseiny. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Commun. Math. Biol. Neurosci.

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