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Dynamical behaviors of a vector-borne diseases model with two time delays on bipartite networks
Rundong Zhao1, Qiming Liu1, Huazong Zhang1
1Department of Science and Culture, Shijiazhuang Branch, Army Engineering University of PLA, Shijiazhuang 050003, China.
Abstract:
In order to study the impact of the incubation periods of humans and vectors on diseases transmission, a novel vector-borne diseases model with two time delays on bipartite networks is proposed. The formula of the basic reproduction number R0 is given, which is dependent on time delays. Moreover, the globally asymptotic stability of the disease-free equilibrium and the endemic equilibrium is proved by constructing appropriate Lyapunov functions. Finally, numerical simulations are carried out to verify the analysis results and reveal the influence of the structure of bipartite networks on the basic reproduction number.
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