Application of quadratic Lyapunov function for SIR model with demography

Auteurs-es

  • 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.

Mots-clés :

Lyapunov function, asymptotic, stability, diferential equation

Résumé

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.

Téléchargements

Publié-e

2023-09-28

Comment citer

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). Consulté à l’adresse https://tnsmb.org/journal/index.php/ijmam/article/view/37

Numéro

Vol. 5 No. 2 (2022): JNSMB Volume 5, Issue 2

Rubrique

Articles