International Journal of Nonlinear Analysis and Applications

The outbreak disease due to the contamination environment and effect on dynamical behavior of prey-predator model

Document Type : Research Paper

Authors

Department of Mathematics, College of Science, Baghdad University, Baghdad, Iraq

Abstract

In this study, a predator-prey model (PPMD) was formulated and studied along with infectious on populations of prey and predator, since each one is splited into two sub-populations i.e., healthy and infected. It is presumed that only healthy predator of ability to predate the healthy prey and consume both healthy and prey being infected. Mathematically, the model solutions uniqueness, existence, and boundedness are conversed. All probable equilibrium model points are defined. The stability analyses as local and the regions of worldwide stability of each point of equilibriums are inspected. Lastly, few simulations as numerical were offered for validation the geted results theoretically.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 12, Issue 2
November 2021
Pages 455-470
  • Receive Date: 02 February 2021
  • Revise Date: 13 March 2021
  • Accept Date: 25 April 2021