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 transmis￾sion 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 preda￾tors 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