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Modeling Cell-to-Cell Spread of HIV-1 with Nonlocal Infections

Author

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  • Xiaoting Fan
  • Yi Song
  • Wencai Zhao

Abstract

This paper is devoted to develop a nonlocal and time-delayed reaction-diffusion model for HIV infection within host cell-to-cell viral transmissions. In a bounded spatial domain, we study threshold dynamics in terms of basic reproduction number for the heterogeneous model. Our results show that if , the infection-free steady state is globally attractive, implying infection becomes extinct, while if , virus will persist in the host environment.

Suggested Citation

  • Xiaoting Fan & Yi Song & Wencai Zhao, 2018. "Modeling Cell-to-Cell Spread of HIV-1 with Nonlocal Infections," Complexity, Hindawi, vol. 2018, pages 1-10, August.
    • Handle: RePEc:hin:complx:2139290
    DOI: 10.1155/2018/2139290
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    Cited by:

    1. Mengnan Chi & Wencai Zhao, 2019. "Dynamical Analysis of Two-Microorganism and Single Nutrient Stochastic Chemostat Model with Monod-Haldane Response Function," Complexity, Hindawi, vol. 2019, pages 1-13, March.
    2. Tuerxun, Nafeisha & Wen, Buyu & Teng, Zhidong, 2021. "The stationary distribution in a class of stochastic SIRS epidemic models with non-monotonic incidence and degenerate diffusion," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 888-912.
    3. Dezhao Li & Huidong Cheng & Yu Liu, 2019. "Dynamic Analysis of Beddington–DeAngelis Predator-Prey System with Nonlinear Impulse Feedback Control," Complexity, Hindawi, vol. 2019, pages 1-13, November.
    4. Ahmed, Nauman & Rafiq, Muhammad & Adel, Waleed & Rezazadeh, Hadi & Khan, Ilyas & Nisar, Kottakkaran Sooppy, 2020. "Structure Preserving Numerical Analysis of HIV and CD4+T-Cells Reaction Diffusion Model in Two Space Dimensions," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    5. Qi, Haokun & Meng, Xinzhu, 2021. "Mathematical modeling, analysis and numerical simulation of HIV: The influence of stochastic environmental fluctuations on dynamics," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 187(C), pages 700-719.

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