On a periodic neutral delay Lotka–Volterra system
✍ Scribed by Yongkun Li
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 94 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
## Abstract Sufficient conditions are obtained for the linear stability of the positive equilibrium of the neutral system magnified image in terms of the parameters of the system. The case n=2 is considered in detail and the general case is discussed briefly.
By using a fixed point theorem of strict-set-contraction, some new criteria are established for the existence of positive periodic solutions of the following periodic neutral Lotka-Volterra system with state dependent delays dx i ðtÞ dt r ij ðt; x 1 ðtÞ; . . . ; x n ðtÞÞÞ # ; i ¼ 1; 2; . . . ; n; w
By using the continuation theorem of coincidence degree theory, sufficient and realistic conditions are obtained for the existence of positive periodic solutions for both periodic Lotka᎐Volterra equations and systems with distributed or statedependent delays. Our results substantially extend and imp