Global dynamics of a Vector‐Borne disease model with two delays and nonlinear transmission rate

摘要

xml:id="mma4464-para-0001"> In this paper, we investigate a Vector‐Borne disease model with nonlinear incidence rate and 2 delays: One is the incubation period in the vectors and the other is the incubation period in the host. Under the biologically motivated assumptions, we show that the global dynamics are completely determined by the basic reproduction number R ₀ . The disease‐free equilibrium is globally asymptotically stable if R ₀ ≤1; when R ₀ 1, the system is uniformly persistent, and there exists a unique endemic equilibrium that is globally asymptotically. Numerical simulations are conducted to illustrate the theoretical results.