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

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  • Xiying Wang
  • Wenfeng Wang
  • Yuanxiao Li
  • Ya Jia

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

Suggested Citation

  • Xiying Wang & Wenfeng Wang & Yuanxiao Li & Ya Jia, 2021. "Global Stability of Switched HIV/AIDS Models with Drug Treatment Involving Caputo-Fractional Derivatives," Discrete Dynamics in Nature and Society, Hindawi, vol. 2021, pages 1-11, February.
    • Handle: RePEc:hin:jnddns:6613171
    DOI: 10.1155/2021/6613171
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