Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 254
Study of the stability of a class of epidemiological systems (SIR)
Farid Mortaji, Laarabi Hassan, Rachik Mostafa, Youssef El foutayeni, Abta Abdelhadi
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 28, 2022
March 03, 2225
April 15, 2225

Abstract: In the literature, Lyapunov's method has been successfully used to prove the global stability of equilibrium points. The method consists in finding a Lyapunov function, positive definite such that its derivative along the trajectories is negative definite [1]. If the derivative is only negative semi-definite, LaSalle's invariance principle extends Lyapunov's principle in this case [2]. In this presentation, we will apply LaSalle's principle of invariance to prove the asymptotic global stability of equilibrium points.