✦ LIBER ✦
Average conditions for permanence and extinction in nonautonomous Gilpin–Ayala competition model
✍ Scribed by Fengde Chen
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 224 KB
- Volume
- 7
- Category
- Article
- ISSN
- 1468-1218
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✦ Synopsis
In this paper, we consider a general nonautonomous n-species Gilpin-Ayala competitive system, which is more general and more realistic than classical Lotka-Volterra competition model. By means of Ahmad and Lazer's definitions of lower and upper averages of a function, we first give the average conditions for the permanence and global attractivity of the system. Next, for each r n the average conditions on the coefficients are provided to guarantee that r of the species in the system are permanent while the remaining nr species are driven to extinction. Examples show the feasibility of the main results.