Coexistence of a general elliptic system in population dynamics
β Scribed by Zhigui Lin; M. Pedersen
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 656 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
This paper is concerned with a strongly-coupled elliptic system representing a competitive interaction between two species. We give a sufficient condition for the existence of positive solutions. An example is also given to show that there is a coexistence of a steady state if the cross-diffusions or the intraspecific competitions are weak. (~) 2004 Elsevier Ltd. All rights reserved.
π SIMILAR VOLUMES
In this paper, we discuss the existence, uniqueness and stability of coexistence states for an elliptic system coupled in the linear part. The linear part of this system is co-operative. Our approaches are based on the maximum principle and some properties of linear cooperative system.
We discuss a nonlinear model of the spatial-time interaction among populations which reproduction and intensity of interaction depend on their spatial density. For the particular case of two populations with constant growth rates and competition coefficients we obtain analytical nonlinear waves of k