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Dynamics of a three-species ratio-dependent diffusive model

✍ Scribed by Zhixing Hu; Guangke Gao; Wanbiao Ma

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
318 KB
Volume
11
Category
Article
ISSN
1468-1218

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✦ Synopsis

In this paper, we study a nonautonomous ratio-dependent diffusive model of three species. By using the fixed point theorem of Brouwer and the theory of differential inequality and constructing a suitable Lyapunov function, sufficient conditions are obtained which guarantee the existence, uniqueness and stability of positive periodic solution. At last, some results are proved with the technology of numerical simulation.

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