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Global Dynamics for an Age-Structured Cholera Infection Model with General Infection Rates

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  • Xin Jiang

    (College of Science, North China University of Technology, Beijing 100144, China)

Abstract

This paper studies the global dynamics of a cholera model incorporating age structures and general infection rates. First, we explore the existence and point dissipativeness of the orbit and analyze the asymptotical smoothness. Then, we perform rigorous mathematical analysis on the existence and local stability of equilibria. Based on the uniform persistence, we further investigate the global behavior of the cholera infection model. The results of theoretical analysis are well confirmed by numerical simulations. This research generalizes some known results and provides deeper insights into the dynamics of cholera propagation.

Suggested Citation

  • Xin Jiang, 2021. "Global Dynamics for an Age-Structured Cholera Infection Model with General Infection Rates," Mathematics, MDPI, vol. 9(23), pages 1-20, November.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:23:p:2993-:d:685501
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    References listed on IDEAS

    as
    1. Jódar, Lucas & Villanueva, Rafael J. & Arenas, Abraham J. & González, Gilberto C., 2008. "Nonstandard numerical methods for a mathematical model for influenza disease," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(3), pages 622-633.
    2. Misra, A.K. & Gupta, Alok & Venturino, Ezio, 2016. "Cholera dynamics with Bacteriophage infection: A mathematical study," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 610-621.
    3. Khalsaraei, Mohammad Mehdizadeh & Shokri, Ali & Ramos, Higinio & Heydari, Shahin, 2021. "A positive and elementary stable nonstandard explicit scheme for a mathematical model of the influenza disease," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 397-410.
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