4.5 Article

Rich Dynamics of a Predator-Prey System with Different Kinds of Functional Responses

期刊

COMPLEXITY
卷 2020, 期 -, 页码 -

出版社

WILEY-HINDAWI
DOI: 10.1155/2020/4285294

关键词

-

资金

  1. Agencia Estatal de Investigacion (AEI) of Spain
  2. European Fund for Regional Development (FEDER) [MTM2016-75140-P]
  3. Xunta de Galicia [ED431C 2019-02]
  4. Science and Engineering Research Board (SERB), Department of Science and Technology, Government of India [ECR/2017/000234]

向作者/读者索取更多资源

In this study, we investigate a mathematical model that describes the interactive dynamics of a predator-prey system with different kinds of response function. The positivity, boundedness, and uniform persistence of the system are established. We investigate the biologically feasible singular points and their stability analysis. We perform a comparative study by considering different kinds of functional responses, which suggest that the dynamical behavior of the system remains unaltered, but the position of the bifurcation points altered. Our model system undergoes Hopf bifurcation with respect to the growth rate of the prey population, which indicates that a periodic solution occurs around a fixed point. Also, we observed that our predator-prey system experiences transcritical bifurcation for the prey population growth rate. By using normal form theory and center manifold theorem, we investigate the direction and stability of Hopf bifurcation. The biological implications of the analytical and numerical findings are also discussed in this study.

作者

我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。

评论

主要评分

4.5
评分不足

次要评分

新颖性
-
重要性
-
科学严谨性
-
评价这篇论文

推荐

暂无数据
暂无数据