The effect of epidemic disease outbreaks on the dynamic behavior of a prey-predator model with Holling type II functional response

Hassan F. AL-Husseiny, Nidhal F. Ali, Ahmed A. Mohsen

Abstract


We formulate and analyze the dynamism of the epidemic problem consisting of the prey-predator interaction with a susceptible–infected–susceptible (SIS) epidemic disease in prey species has been suggested for study in the present work. It is supposed that the disease was spread in two separate ways by direct contact between susceptible prey with infected prey and external sources of infective such as (water, food, contamination environment). The uniqueness and boundedness of the trajectory of this model has been discussed and the existence of all the fixed points (FPs) are determined. The local and global stability (LS and GS) conditions for all of the feasible (EPs) are established. Finally, to confirm the analytic results we solve the model by numerical simulation for different values of parameters and represent them graphically.

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Published: 2021-09-01

How to Cite this Article:

Hassan F. AL-Husseiny, Nidhal F. Ali, Ahmed A. Mohsen, The effect of epidemic disease outbreaks on the dynamic behavior of a prey-predator model with Holling type II functional response, Commun. Math. Biol. Neurosci., 2021 (2021), Article ID 72

Copyright © 2021 Hassan F. AL-Husseiny, Nidhal F. Ali, Ahmed A. Mohsen. 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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