International Journal of Nonlinear Analysis and Applications
Epidemiological model Involving Two Diseases in Predator Population with Holling Type-II Functional Response
Document Type : Research Paper
Authors
1 Department of applied science, University of technology, Iraq
2 Department of mathematics, College of Science, University of Baghdad, Baghdad, Iraq
Abstract
In this paper, two types of diseases in the predator population in an ecological model are proposed and analyzed. The first (SIS infectious disease) transmitted horizontally, spread by contact between susceptible individuals and infected individuals. And the second (SI disease) is transmitted vertically from mothers to offspring with the effect of an external source (environmental effect). No transmission of the diseases can happen from predator to prey by predation or contact. Linear functional response and Holing type-II for describing the predation of the susceptible and the infected predators respectively also linear incidence for describing the transition of diseases are used. All possible equilibrium points were analyzed for this model. Locally and globally dynamics of the model have been discussed, numerical simulation is used to investigate the effect of the diseases on the system’s dynamics.
Keywords
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Volume 12, Issue 2
November 2021Pages 2085-2107
- Receive Date: 09 March 2021
- Revise Date: 13 June 2021
- Accept Date: 03 July 2021