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The Nonlinear Singularly Perturbed Problems for Predator-Prey Reaction Diffusion Equations
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- Author:
- No author available
- Journal Title:
- JOURNAL OF BIOMATHEMATICS
- Issue:
- 2
- DOI:
- 10.3969/j.issn.1001-9626.2005.02.002
- Key Word:
- 非线性;反应扩散;奇摄动;Nonlinear;Reaction diffusion;Singular perturbation
Abstract： The nonlinear singularly perturbed problems for predator-prey reaction diffusion equations is considered. Under suitable conditions, firstly, the outer solution of the original problem is obtained, secondly, using the stretched variable and the expanding theory of power series the formal asymptotic expansion of the solution is constructed, and finally, using the theory of differential inequalities the uniform validity and asymptotic behavior of the solution are studied.
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