New results on asymptotic stability of time-varying nonlinear systems with applications
DOI:
https://doi.org/10.24193/subbmath.2024.3.07Keywords:
Epidemic models, generalized practical uniform h-stability, Gronwall’s inequalities, Lyapunov functionsAbstract
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.
Mathematics Subject Classification (2010): 35B40, 37B55, 34D20, 93D15, 92D30.
Received 31 March 2022; Accepted 26 September 2022.
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