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.

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