In this paper, we consider the positive periodic solutions of multispecies patches connected by discrete diffusion with a within-patch dynamics of periodic Kohnogorov type. A new criterion for existence and globally asymptotic stability of positive periodic solution is established. The results in [l
Instability of non-constant equilibrium solutions of a system of competition-diffusion equations
β Scribed by Kazuo Kishimoto
- Publisher
- Springer
- Year
- 1981
- Tongue
- English
- Weight
- 514 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0303-6812
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π SIMILAR VOLUMES
We consider a LotkaαVolterra competition model with diffusion on R which describes the dynamics of the population of two competing species, and study the stability of positive stationary solutions of the model relative to the space X of bounded uniformly continuous functions with the supremum norm.
We consider the following system of Volterra integral equations: and some of its particular cases that arise from physical problems. Criteria are offered for the existence of one and more constantsign solutions u = (u 1 , u 2 , . . . , u n ) of the system in (C[0, T ]) n . We say u is of constant s