A VECTOR-BORNE DISEASE MODEL WITH VECTOR CONTROLLING AND VACCINATION

作者：Li, Xue-Zhi^*; Wang, Juan; Saucedo, Omar; Wang, Jiao

来源：Journal of Biological Systems, 2013, 21(4): 1340008.

DOI：10.1142/S0218339013400081

• Vector-Borne Disease
• Endemic Equilibrium
• Basic Reproduction Number
• Disease Persistence

In this paper, we formulate a vector-borne disease transmission model with a nonlinear incidence and vaccination. The explicit expression of the basic reproduction number R-0(phi) which is related to the vaccination rate f is obtained. It has been shown that the global dynamical behavior of the model is completely determined by R-0(phi). If R-0(phi) < 1, the disease-free equilibrium (DFE) is globally asymptotically stable, and the disease will be eradicated. If R-0(phi) > 1, the DFE is unstable, and there exists a unique endemic equilibrium (EE). This equilibrium is globally asymptotically stable which in turn causes the disease to persist in vectors and humans. Finally, a series of numerical simulations, such as sensitive analysis on R-0(phi), are performed in order to support the theoretical results.

• 出版日期2013-12
• 单位信阳师范学院