An Epidemic Model with Immigration and Non-Monotonic Incidence Rate Under Treatment


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Authors

  • Amit Kumar School of Studies in Mathematics, Vikram University, Ujjain, M.P., India
  • Pardeep Porwal School of Studies in Mathematics, Vikram University, Ujjain, M.P., India
  • V. H. Badshah School of Studies in Mathematics, Vikram University, Ujjain, M.P., India

Keywords:

Mathematical Model, Equilibrium Point, Stability Analysis, Saturated incidence

Abstract

The present mathematical model deals with the study of SIRS epidemic model with immigration and under treatment function type. We start from formulation of model and analyze it. The equations depend on treatment function system. The system is established. If $R_{0}<1$ the DFE (Disease Free Equilibrium) is globally stable and if $R_{0}>1$ then the endemic equilibrium is obtained which is globally stable. An example also provides to justify the stability.

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Published

15-11-2017

How to Cite

Amit Kumar, Pardeep Porwal, & V. H. Badshah. (2017). An Epidemic Model with Immigration and Non-Monotonic Incidence Rate Under Treatment. International Journal of Mathematics And Its Applications, 5(4 - C), 407–420. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1287

Issue

Vol. 5 No. 4 - C (2017)

Section

Research Article

License

Copyright (c) 2023 International Journal of Mathematics And its Applications

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