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Uniform stability of dynamic SICA HIV transmission models on time scales

Volume 51 / 2024

Zahra Belarbi, Benaoumeur Bayour, Delfim F. M. Torres Applicationes Mathematicae 51 (2024), 163-177 MSC: Primary 34N05; Secondary 39A24, 92D25 DOI: 10.4064/am2521-6-2024 Published online: 23 September 2024

Abstract

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.

Authors

  • Zahra BelarbiDepartment of Mathematics
    University Mustapha Stambouli of Mascara
    B.P. 305 Mascara, Algeria
    and
    École Normale Supérieure
    Mostaganem, Algeria
    e-mail
  • Benaoumeur BayourDepartment of Mathematics
    University Mustapha Stambouli of Mascara
    B.P. 305 Mascara, Algeria
    e-mail
  • Delfim F. M. TorresCenter 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
    ORCID: 0000-0001-8641-2505
    e-mail
    e-mail
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