Dynamical Behaviors Of A Vector-Borne Diseases Model With Two Time Delays On Bipartite Networks

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 R-0 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.