On positive solutions of the Lotka–Volterra cooperating models with diffusion
✍ Scribed by Lizhou Wang; Kaitai Li
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 135 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0362-546X
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✦ Synopsis
In this paper, using the existence and comparison conclusion for the time-periodic quasimonotone nondecreasing systems given by Pao C.V. and iterative method, we investigate the time-periodic Lotka-Volterra cooperating model and present some existence, uniqueness and nonexistence results. We also use similar methods to treat the corresponding stationary system to give parallel results.
📜 SIMILAR VOLUMES
We consider a Lotka᎐Volterra 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.