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Global Stability of a Delayed Eco-Epidemiological Model with Holling Type III Functional Response

  • Hongfang Bai
  • Rui Xu
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 225)

Abstract

In this paper, we consider an eco-epidemiological model with Holling type III functional response and a time delay representing the gestation period of the predator. In the model, it is assumed that the predator population suffers a transmissible disease. By means of Lyapunov functionals and Laselle’s invariance principle, sufficient conditions are obtained for the global stability of the endemic coexistence of the system.

Keywords

Eco-epidemiological model Delay Laselle’s invariance principle Global stability 

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Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.Department of MathematicsShijiazhuang Mechanical Engineering CollegeShijiazhuangPeople’s Republic of China

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