期刊
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
卷 40, 期 18, 页码 6411-6423出版社
WILEY
DOI: 10.1002/mma.4464
关键词
global stability; Lyapunov functional; nonlinear transmission rate; two delays; vector-host epidemic model
资金
- National Natural Science Foundation of China [11601291]
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.
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