Necessary and sufficient average growth in a Lotka–Volterra system
✍ Scribed by Shair Ahmad; Alan C. Lazer
- Book ID
- 104331679
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 213 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In this paper, the necessary and sufficient conditions for permanence and extinction of the autonomous two-species Lotks-Volterra system with distributed delays are given. Some previous results are improved and extended. Moreover, it is shown in our paper that the permanence and extinction of the di
In this paper we consider the permanence of the following Lotka᎐Volterra Ž . Ž . Ä w discrete competition system with delays k , k , l , and l : .x4 l . We show the system is permanent for all nonnegative integers k , k , l , and 2 1 2 1 l , if and only if -1 and -1 hold. ᮊ 2001 Academic Press 2 1
By extending Darboux method to three dimension, we present necessary and sufficient conditions for the existence of periodic orbits in three species Lotka-Volterra systems with the same intrinsic growth rates. Therefore, all the published sufficient or necessary conditions for the existence of perio