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Orientador(es)
Resumo(s)
In [Math. Comput. Sci. 12 (2018), no. 2, 111--127], a delayed model
describing the dynamics of the Human Immunodeficiency Virus (HIV) with
Cytotoxic T Lymphocytes (CTL) immune response is investigated by Allali,
Harroudi and Torres. Here, we propose a discrete-time version of that model,
which includes four nonlinear difference equations describing the evolution of
uninfected, infected, free HIV viruses, and CTL immune response cells and
includes intracellular delay. Using suitable Lyapunov functions, we prove the
global stability of the disease free equilibrium point and of the two endemic
equilibrium points. We finalize by making some simulations and showing,
numerically, the consistence of the obtained theoretical results.
Descrição
Palavras-chave
Compartmental models Stability analysis Lyapunov functions Mickens method
Contexto Educativo
Citação
Editora
Dynamic Control and Optimization