Asymptotic Behavior of the nonautonomous two-species Lotka-Volterra competition models
β Scribed by Qiu-Liang Peng; Lan-Sun Chen
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 530 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
the present paper, the nonautonomous two-species Lotka-Volterra competition models are considered, where all the parameters are time-dependent and asymptotically approach periodic functions, respectively. Under some conditions, it is shown that any positive solutions of the models asymptotically approach the unique strictly positive periodic solution of the corresponding periodic system.
π SIMILAR VOLUMES
By using the continuation theorem of coincidence degree theory, the existence of a positive periodic solution for a two-species nonautonomous competition Lotka-Volterra patch system with time delay, y t = y t r 3 t -a 3 t x 1 t -b 3 t y t -Ξ² t 0 -Ο K s y t + s ds is established, where r i t a i t i
A nonautonomous N-species discrete Lotka-Volterra competitive system of difference equations with delays and feedback controls is considered. New sufficient conditions are obtained for the permanence of this discrete system. The results indicate that one can choose suitable controls to make the spec