Global Stability of Switched HIV/AIDS Models with Drug Treatment Involving Caputo-Fractional Derivatives

Global Stability of Switched HIV/AIDS Models with Drug Treatment Involving Caputo-Fractional Derivatives

In this paper, we formulate and investigate new switched HIV/AIDS models with drug treatment involving Caputo-fractional derivatives. Initially, due to the fractional derivative order related to the memory and hereditary effects and supposing that the model coefficients are time-varying parameters,...

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Veröffentlicht in:Discrete dynamics in nature and society 2021-02, Vol.2021, p.1-11
Hauptverfasser: Wang, Xiying, Wang, Wenfeng, Li, Yuanxiao
Format: Artikel
Sprache:eng
Schlagworte:
Acquired immune deficiency syndrome
AIDS
Asymptomatic
Disease
Drug therapy
Equilibrium
HIV
Human immunodeficiency virus
Infections
Mathematical functions
Mathematical models
Mortality
Ordinary differential equations
Parameters
Switching
Vaccines
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Zusammenfassung:In this paper, we formulate and investigate new switched HIV/AIDS models with drug treatment involving Caputo-fractional derivatives. Initially, due to the fractional derivative order related to the memory and hereditary effects and supposing that the model coefficients are time-varying parameters, we develop a Caputo-fractional order HIV/AIDS models with switching parameters and study their dynamics utilizing Lyapunov–Razumikhin technique. Furthermore, the results show that the fractional derivative α (0
ISSN:1026-0226
1607-887X
DOI:10.1155/2021/6613171