New sufficient conditions for the competitive exclusion of a few species in some Lotka-Volterra systems are proved. Also an approach based on some results of the matrix Riccati equations and some ideas of the asymptotic methods is developed. In addition, conditions for the existence of finite escape
Asymptotic behaviour and bifurcation in competitive Lotka–Volterra Systems
✍ Scribed by Zhanyuan Hou
- Book ID
- 113449242
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 214 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0893-9659
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## Abstract For autonomous Lotka–Volterra systems of differential equations modelling the dynamics of __n__ competing species, new criteria are established for the existence of a single point global attractor. Under the conditions of these criteria, some of the species will survive and stabilise at
In this paper, we study the permanence and global asymptotic behavior for the Nspecies nonautonomous Lotka-Volterra competitive systems, where all the parameters are time dependent and asymptotically approach periodic functions, respectively. Some new criteria are established. The corresponding resu