Stability Analysis with Bifurcation of an SVIR Epidemic Model Involving Immigrants

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. https://orcid.org/0000-0003-3812-8918

Keywords:

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

Abstract

There are many factors effect on the spread of infectious disease or control it,
some of these factors are (immigration and vaccination). The main objective of this
paper is to study the effect of those factors on the dynamical behavior of an SVIR
model. It is assumed that the disease is spread by contact between members of
populations individuals. While the recovered individuals gain permanent immunity
against the disease. The existence, uniqueness and boundedness of the solution of
this model are investigated. The local and global dynamical behaviors of the model
are studied. The local bifurcations and Hopf bifurcation of the model are
investigated. Finally, in order to confirm our obtained results and specify the effects
of model’s parameters on the dynamical behavior, numerical simulation of the SVIR
model is performed.

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Published

2024-01-26

Issue

Section

Mathematics

How to Cite

Stability Analysis with Bifurcation of an SVIR Epidemic Model Involving Immigrants. (2024). Iraqi Journal of Science, 54(2), 397-408. https://ijs.uobaghdad.edu.iq/index.php/eijs/article/view/12310

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