| Summary: | In this study, a vector-borne epidemic model with multi-edge infection on complex networks is built. Using the method of next-generation matrix, the basic reproduction number R0{R}_{0} is calculated, and if R0<1{R}_{0}\lt 1, the disease-free equilibrium E0{E}_{0} is globally asymptotically stable; if R0>1{R}_{0}\gt 1, there exists a unique endemic equilibrium i∗=(i1∗,i2∗,…,in∗){i}^{\ast }=\left({i}_{1}^{\ast },{i}_{2}^{\ast },\ldots ,{i}_{n}^{\ast }) that is globally attractive. Moreover, three control strategies are proposed to control the spread of infectious diseases. Finally, some numerical simulations are given to illustrate our theoretical results.
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