1. Dynamics in a discrete predator-prey system with infected prey
- Creator:
- Xu, Changjin and Li, Peiluan
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- predator-prey model, periodic solution, topological degree, and global asymptotic stability
- Language:
- English
- Description:
- In this paper, a discrete version of continuous non-autonomous predator-prey model with infected prey is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and the method of Lyapunov function, some sufficient conditions for the existence and global asymptotical stability of positive periodic solution of difference equations in consideration are established. An example shows the feasibility of the main results.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public