A set of easily verifiable sufficient conditions is derived for the global existence of periodic solutions with strictly positive components for a periodic predator-prey system with infinite delays by using the method of coincidence degree.
Existence and global stability of positive periodic solution of periodic integrodifferential systems with feedback controls
β Scribed by Peixuan Weng
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 557 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
Sufficient conditions axe obtained for the existence and global stability of a positive periodic solution in some periodic integrodifferential systems with feedback controls by using the technique of coincidence degree and Lyapunov functional. (~) 2000 Elsevier Science Ltd. All rights reserved.
π SIMILAR VOLUMES
In this paper, by using the upper and lower solutions method, we investigate the existence and nonexistence of positive periodic solutions of inΓΏnite delay functional di erential system with a parameter and feedback controls αΊ(t) = A(t)x(t) -F(t; xt; x(g(t; x(t))); u( (t; x(t))));
A ratio-dependent Leslie system with feedback controls is studied. By using the comparison and continuation theorems, and based on the coincidence degree and by constructing a suitable Lyapunov function, some sufficient and necessary conditions for the existence and global attractivity of periodic s