Application of quadratic Lyapunov function for SIR model with demography

##article.authors##

  • A.L. Ozioko* Department of Mathematics, Federal University Lokoja, Nigeria
  • I.S.S. Abang*† NCTM,an Agency of Federal Ministry of Science and Technology, PRODA Training Institute, Enugu, Nigeria
  • G. C. E. Mbah†** Department of Mathematics, University of Nigeria, Nsukka, Nigeria
  • M.O. Omeike§ Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria.

##semicolon##

Lyapunov function, asymptotic, stability, diferential equation

##article.abstract##

Lyapunov functions enable the stability analysis of dynamic systems described by ordinary differential equations without finding the solution of such equations. In this paper, we construct a quadratic Lyapunov function for SIR model with demography in analogy with a linear system, and show that the SIR model with demography is asymptotically stable using this quadratic Lyapunov function. This quadratic Lyapunov function satisfies the disease free and endemic equilibrium.

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##submissions.published##

2023-09-28

##submission.howToCite##

Ozioko*, A. ., Abang*†, I. ., Mbah†**, G. C. E., & Omeike§, M. . (2023). Application of quadratic Lyapunov function for SIR model with demography. International Journal of Mathematical Analysis and Modelling, 5(2). Retrieved from https://tnsmb.org/journal/index.php/ijmam/article/view/37

##issue.issue##

##issue.vol## 5 ##issue.no## 2 (2022): JNSMB Volume 5, Issue 2

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