Uniform stability of dynamic SICA HIV transmission models on time scales
Applicationes Mathematicae, Tome 51 (2024) no. 2, pp. 163-177.

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We consider a SICA model for HIV transmission on time scales. We prove permanence of solutions and we derive sufficient conditions for the existence and uniform asymptotic stability of a unique positive almost periodic solution of the system in terms of a Lyapunov function.
DOI : 10.4064/am2521-6-2024
Keywords: consider sica model hiv transmission time scales prove permanence solutions derive sufficient conditions existence uniform asymptotic stability unique positive almost periodic solution system terms lyapunov function

Zahra Belarbi 1 ; Benaoumeur Bayour 2 ; Delfim F. M. Torres 3

1 Department of Mathematics University Mustapha Stambouli of Mascara B.P. 305 Mascara, Algeria and École Normale Supérieure Mostaganem, Algeria
2 Department of Mathematics University Mustapha Stambouli of Mascara B.P. 305 Mascara, Algeria
3 Center for Research and Development in Mathematics and Applications (CIDMA) Department of Mathematics University of Aveiro 3810-193 Aveiro, Portugal and Research Center in Exact Sciences (CICE) Faculty of Sciences and Technology University of Cape Verde (Uni-CV) 7943-010 Praia, Cabo Verde <a href="https://orcid.org/0000-0001-8641-2505">ORCID: 0000-0001-8641-2505</a>
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     title = {Uniform stability of dynamic {SICA} {HIV} transmission models on time scales},
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Zahra Belarbi; Benaoumeur Bayour; Delfim F. M. Torres. Uniform stability of dynamic SICA HIV transmission models on time scales. Applicationes Mathematicae, Tome 51 (2024) no. 2, pp. 163-177. doi : 10.4064/am2521-6-2024. http://geodesic.mathdoc.fr/articles/10.4064/am2521-6-2024/

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