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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.


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Instability of Stationary Solutions for
✍ Yukio Kan-on 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 242 KB

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.