On the Dynamics of an Eco-Epidemiological System Incorporating a Vertically Transmitted Infectious Disease

Huda  Abdul Satar; Hiba Abdullah  Ibrahim; Dahlia Khaled  Bahlool

doi:10.24996/ijs.2021.62.5.27

Authors

Huda Abdul Satar Department of Mathematics, College of Science, University of Baghdad, Baghdad, IRAQ
Hiba Abdullah Ibrahim Department of Mathematics, College of Science, University of Baghdad, Baghdad, IRAQ
Dahlia Khaled Bahlool Department of Mathematics, College of Science, University of Baghdad, Baghdad, IRAQ

DOI:

https://doi.org/10.24996/ijs.2021.62.5.27

Keywords:

Eco-epidemiological model, Vertical transmission, Stability, Local Bifurcation

Abstract

An eco-epidemiological system incorporating a vertically transmitted infectious disease is proposed and investigated. Micheal-Mentence type of harvesting is utilized to study the harvesting effort imposed on the predator. All the properties of the solution of the system are discussed. The dynamical behaviour of the system, involving local stability, global stability, and local bifurcation, is investigated. The work is finalized with the numerical simulation to observe the global behaviour of the solution.