Global analysis and control for a vector-borne epidemic model with multi-edge infection on complex networks

Abstract

Abstract 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 R 0 {R}_{0} is calculated, and if R 0 < 1 {R}_{0}\lt 1 , the disease-free equilibrium E 0 {E}_{0} is globally asymptotically stable; if R 0 > 1 {R}_{0}\gt 1 , there exists a unique endemic equilibrium i ∗ = ( i 1 ∗ , i 2 ∗ , … , i n ∗ ) {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.