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arXiv · 2406.12860

Permanence and Uniform Asymptotic Stability of Positive Solutions of SAIQH Models on Time Scales

Nedjoua Zine·Benaoumeur Bayour·Delfim F. M. Torres
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Abstract

A susceptible, asymptomatic, infectious, quarantined, and hospitalized (SAIQH) compartmental model on time scales is introduced and a suitable Lyapunov function is defined. Main results include: the proof that the system is permanent; proof of existence of solution; and sufficient conditions implying the dynamic system to have a unique almost periodic solution that is uniformly asymptotically stable. An example is presented supporting the obtained results.

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Nedjoua Zine, Benaoumeur Bayour, Delfim F. M. Torres. 2024-03-12. Permanence and Uniform Asymptotic Stability of Positive Solutions of SAIQH Models on Time Scales. https://arxiv.org/abs/2406.12860

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