Stability Analysis of SEIVHR Epidemic Model with Saturated Incidence Rate

Authors

  • Muhammad Ali Khan Department of Mathematics, Abdul Wali Khan University Mardan, Khyber Pakhtunkhwa, Pakistan.
  • Sehra . Department of Mathematics, Abdul Wali Khan University Mardan, Pakistan

DOI:

https://doi.org/10.21015/vtm.v6i1.303

Abstract

The aim of this paper, to analyze stability analysis of SEIVHR epidemic model with a generalized non-linear incidence rate that spread in the host population horizontally. First, we formulate the model and find its basic reproduction number. Two equilibrium exists, namely; the disease-free and endemic equilibrium. The disease-free equilibrium is stable both locally and globally when the threshold quantity less than unity. The endemic equilibrium is locally and globally asymptotically stable when the threshold exceeds unity. Finally, we show some numerical results for the proposed model.

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Published

2020-03-18

How to Cite

Khan, M. A., & ., S. (2020). Stability Analysis of SEIVHR Epidemic Model with Saturated Incidence Rate. VFAST Transactions on Mathematics, 8(1), 22–34. https://doi.org/10.21015/vtm.v6i1.303

Issue

Vol. 8 No. 1 (2020): January-December

Section

Articles

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