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

  • 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
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.

Published
2021-05-31
How to Cite
Abdul Satar, H., Ibrahim, H. A., & Bahlool, D. K. (2021). On the Dynamics of an Eco-Epidemiological System Incorporating a Vertically Transmitted Infectious Disease. Iraqi Journal of Science, 62(5), 1642-1658. https://doi.org/10.24996/ijs.2021.62.5.27
Section
Mathematics