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Asymptotic Solution of a Nonlinear Singularly Perturbed Population Problem
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- Author:
- No author available
- Journal Title:
- JOURNAL OF BIOMATHEMATICS
- Issue:
- 4
- DOI:
- 10.3969/j.issn.1001-9626.2007.04.001
- Key Word:
- 非线性;人口问题;奇摄动;渐近解;Nonlinear;Population problem;Singular perturbation;Asymptotic solution
Abstract： A nonlinear singularly perturbed population problem 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 expansions of the solution is constructed, and finally, using the theory of differential inequalities the uniform validity of the solution are studied.
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