International Journal of Nonlinear Analysis and Applications
On the dynamical behavior of an Eco-Epidemiological model
Document Type : Research Paper
Author
Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq
Abstract
The aim of this article is to study the dynamical behavior of an eco-epidemiological model. A prey-predator model comprising infectious disease in prey species and stage structure in predator species is suggested and studied. Presumed that the prey species growing logistically in the absence of predator and the ferocity process happened by Lotka-Volterra functional response. The existence, uniqueness, and boundedness of the solution of the model are investigated. The stability constraints of all equilibrium points are determined. The constraints of persistence of the model are established. The local bifurcation near every equilibrium point is analyzed. The global dynamics of the model are investigated numerically and confronted with the obtained outcomes.
Keywords
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Volume 12, Issue 2
November 2021Pages 1749-1767
- Receive Date: 23 March 2021
- Revise Date: 16 June 2021
- Accept Date: 01 July 2021