Global existence of periodic solutions in a class of delayed Gause-type predator-prey systems
✍ Scribed by Tao Zhao; Yang Kuang; H.L. Smith
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 1005 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
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.
In this paper, we systematically explore the periodicity of some dynamic equations on time scales, which incorporate as special cases many population models (e.g., predator-prey systems and competition systems) in mathematical biology governed by differential equations and difference equations. Easi
A delayed Gause-type predator᎐prey system without dominating instantaneous negative feedbacks is investigated. It is proved that the system is uniformly persistent under some appropriate conditions. By means of constructing a suitable Lyapunov functional, sufficient conditions are derived for the lo