## Abstract A delayed periodic LotkaโVolterra type population model with __m__ predators and __n__ preys is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and by constructing suitable Lyapunov functionals, sufficient conditions are derived for the exist
On the Existence of Periodic Solutions of a Neutral Delay Model of Single-Species Population Growth
โ Scribed by Fang Hui; Li Jibin
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 85 KB
- Volume
- 259
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
โฆ Synopsis
In this paper, we employ some new techniques to study the existence of positive periodic solutions of the neutral delay model
Our result gives a correct answer to the open problem 9.2 due to Y. Kuang
๐ SIMILAR VOLUMES
Bifurcations of periodic solutions are studied for certain types of weakly perturbed partial differential equations. It is shown that a bifurcation occurs for almost all (in the sense of the Lebesque measure) periodic small perturbations. A generalized implicit function theorem is applied. (" 1995 A
In this paper we study the existence of positive almost periodic solutions for a class of almost periodic LotkaแVolterra type systems with delays. Applying Schauder's fixed point theorem we obtain a general criterion of the existence of positive almost periodic solutions. This criterion can be used