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Instability of stationary nonmonotone solutions of the reaction equation with diffusion depending on density

✍ Scribed by V. N. Razzhevaikin

Book ID
110157962
Publisher
Springer
Year
2006
Tongue
English
Weight
306 KB
Volume
42
Category
Article
ISSN
0012-2661

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Instability of Stationary Solutions for
Instability of Stationary Solutions for a Lotka–Volterra Competition Model with Diffusion
✍ Yukio Kan-on πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 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.