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论文类型：期刊论文

发表时间：2013-12-01

发表刊物：PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

收录刊物：SCIE、EI、Scopus

卷号：392

期号：23

页面范围：5898-5906

ISSN号：0378-4371

关键字：Lotka-Volterra equations; Eco-epidemiological model; Predation rate; Basic reproduction number

摘要：In this paper, we present and analyze a predator prey model, in which both predator and prey can be infected. Each of the predator and prey is divided into two categories, susceptible and infected. The epidemics cannot be transmitted between prey and predator by predation. The predation ability of susceptible predators is stronger than infected ones. Likewise, it is more difficult to catch a susceptible prey than an infected one. And the diseases cannot be hereditary in both of the predator and prey populations. Based on the assumptions above, we find that there are six equilibrium points in this model. Using the base reproduction number, we discuss the stability of the equilibrium points qualitatively. Then both of the local and global stabilities of the equilibrium points are analyzed quantitatively by mathematical methods. We provide numerical results to discuss some interesting biological cases that our model exhibits. Lastly, we discuss how the infectious rates affect the stability, and how the other parameters work in the five possible cases within this model. (C) 2013 Elsevier B.V. All rights reserved.