Stability and Bifurcation of Epidemic Model

Authors

  • Raid Naji Department of mathematics, College of science, University of Baghdad. Baghdad,Iraq.
  • Ahmed Muhseen Department of mathematics, College of science, University of Baghdad. Baghdad,Iraq.

Keywords:

Epidemic models, , Stability, , Vaccinated, , Immigrants, , external sources, Local and Hopf bifurcation.

Abstract

In this paper a mathematical model that describes the flow of infectious disease in a population is proposed and studied. It is assumed that the disease divided the population into four classes: susceptible individuals (S), vaccinated individuals (V), infected individuals (I) and recover individuals (R). The impact of immigrants, vaccine and external sources of disease, on the dynamics of SVIRS epidemic model is studied. The existence, uniqueness and boundedness of the solution of the model are discussed. The local and global stability of the model is studied. The occurrence of local bifurcation as well as Hopf bifurcation in the model is investigated. Finally the global dynamics of the proposed model is studied numerically.

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Published

2024-02-13

Issue

Section

Mathematics

How to Cite

Stability and Bifurcation of Epidemic Model. (2024). Iraqi Journal of Science, 54(Mathematics conf), 764-774. https://ijs.uobaghdad.edu.iq/index.php/eijs/article/view/12458

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