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Global dynamic analysis of a model for vector-borne diseases on bipartite networks

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  • Zhang, Ruixia

Abstract

In this paper, an SIS-SI model on bipartite networks for vector-borne disease is developed. The basic reproduction number R0 is identified and analyzed. The global dynamics are completely determined by the reproduction number R0. It is shown that if R0<1, the disease-free equilibrium is globally asymptotically stable. If R0>1, there is a unique endemic equilibrium which is globally asymptotically stable. Finally, numerical simulations are performed to validate the theoretical results and reveal the influence of network structure on basic reproduction number, the transmission scale and propagation speed.

Suggested Citation

  • Zhang, Ruixia, 2020. "Global dynamic analysis of a model for vector-borne diseases on bipartite networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    • Handle: RePEc:eee:phsmap:v:545:y:2020:i:c:s0378437119321211
    DOI: 10.1016/j.physa.2019.123813
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    References listed on IDEAS

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    1. Ben Adams & Durrell D Kapan, 2009. "Man Bites Mosquito: Understanding the Contribution of Human Movement to Vector-Borne Disease Dynamics," PLOS ONE, Public Library of Science, vol. 4(8), pages 1-10, August.
    2. Zhang, Ruixia & Li, Deyu & Jin, Zhen, 2015. "Dynamic analysis of a delayed model for vector-borne diseases on bipartite networks," Applied Mathematics and Computation, Elsevier, vol. 263(C), pages 342-352.
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