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

Xiying Wang, Wenfeng Wang, Yuanxiao Li and Ya Jia

Discrete Dynamics in Nature and Society, 2021, vol. 2021, 1-11

Abstract: 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

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:6613171

DOI: 10.1155/2021/6613171

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