文献类型：期刊文献

英文题名：Impact of predator on the host-vector disease model with stage structure for the vector

作者：Zhou, Fengyan[1,2,3];Ma, Chengrong[4];Liang, Hongzhen[3,5];Dai, Binxiang[2];Yao, Hongxing[5]

机构：[1]Shaoxing Univ, Dept Math, Shaoxing, Peoples R China;[2]Cent S Univ, Sch Math & Stat, Changsha, Hunan, Peoples R China;[3]Jiangsu Univ, Fac Sci, Zhenjiang, Peoples R China;[4]Shaoxing Univ, Coll Civil Engn, Shaoxing, Peoples R China;[5]Jiangsu Univ, Sch Finance & Econ, Zhenjiang, Peoples R China

年份：2018

卷号：2018

期号：1

外文期刊名：ADVANCES IN DIFFERENCE EQUATIONS

收录：SCI-EXPANDED(收录号：WOS:000444627700001)、、Scopus(收录号：2-s2.0-85053314160)、WOS

基金：The work is supported by the National Natural Science Foundation of China (grant no. 71701082 and 71271103), the Six Talents Peak Foundation of Jiangsu Province, and the Innovative Foundation for Doctoral Candidate of Jiangsu Province, China (grant no. CXZZ13_0687).

语种：英文

外文关键词：Vector-host diseases; Disease control; Stage structure; Hopf bifurcation; Persistence

外文摘要：In this paper, we propose a host-vector-predator model with stage structure for the vector to explore the impact of biological control agents on host-vector dynamics and disease control. Here the total vector population is divided into two physiological subclasses which are immature and mature subclasses. Holling type II functional response is used to portray the interactions between vectors and predators. Stability analysis of the equilibria demonstrates that the basic reproduction number gives the threshold condition determining the persistence and extinction of the disease. Furthermore, the phenomenon of Hopf bifurcation occurs when predators are introduced. The stability of limit cycle arising from a Hopf bifurcation is rigorously investigated. Finally, numerical simulations are given to show the validity of analytical results, and the comparative results of disease dynamics with and without predators.