International Journal of Nonlinear Analysis and Applications

The bifurcation analysis of an epidemiological model involving two diseases in predator

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, the local bifurcation conditions that occur near each of the equilibrium points of the eco-epidemiological system of one prey population apparition with two diseases in the same population of predator have been studied and analyzed, near $E_1,E_2,E_3,E_4$  and $E_5$, a transcritical bifurcation can occur, a saddle-node bifurcation happened near $E_5$. Pitchfork bifurcation was occurrences at $E_2,E_3,E_4$  and $E_5$. Moreover conditions for Hopf- bifurcation was studied near both of one disease stable point $E_3, E_4$  and $E_5$ . About elucidation of the status of local bifurcation the associated of the set of hypothetical parameters with numerical results which assert our analytical results of this model.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 1
March 2022
Pages 2195-2217
  • Receive Date: 06 November 2021
  • Revise Date: 16 November 2021
  • Accept Date: 30 November 2021