New results on asymptotic stability of time-varying nonlinear systems with applications

Abir Kicha; Hanen Damak; Mohamed Ali Hammami

doi:10.24193/subbmath.2024.3.07

Authors

Abir Kicha University of Jijel
Hanen Damak University of Sfax
Mohamed Ali Hammami University of Sfax

DOI:

https://doi.org/10.24193/subbmath.2024.3.07

Keywords:

Epidemic Models, Generalized practical uniform $h$-stability, Gronwall's inequalities, Lyapunov functions.

Abstract

In this paper, we present a converse Lyapunov theorem for the new notion of global generalized practical uniform $h$-stability of nonlinear systems of differential equations. We derive some sufficient conditions which guarantee the global generalized practical uniform $h$-stability of time-varying perturbed systems. In addition, these results are used to study the practical $h$-stability of models of infectious diseases and vaccination.

Author Biographies

Abir Kicha, University of Jijel

Department of Mathematics
Hanen Damak, University of Sfax

Departement of mathematics
Mohamed Ali Hammami, University of Sfax

Departement of mathematics

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