Geodesic
Uniform stability of dynamic SICA HIV transmission models on time scales
Zahra Belarbi1 ; Benaoumeur Bayour2 ; Delfim F. M. Torres3
1Department of Mathematics University Mustapha Stambouli of Mascara B.P. 305 Mascara, Algeria and École Normale Supérieure Mostaganem, Algeria
2Department of Mathematics University Mustapha Stambouli of Mascara B.P. 305 Mascara, Algeria
3Center 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>
Applicationes Mathematicae, Tome 51 (2024) no. 2, pp. 163-177
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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},
     journal = {Applicationes Mathematicae},
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     year = {2024},
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     url = {http://geodesic.mathdoc.fr/articles/10.4064/am2521-6-2024/}
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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

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