Asymptotic Analysis for Singularly Perturbed Generalized Logistic Model
The asymptotic behavior for the generalized Logistic model with slowly varying parameters is discussed in this paper.Firstly,the approximate solution of the singularly perturbed generalized Logistic model is constructed by matching method,then the uniform validity of the approximate solution is proved via the method of upper and lower solution,meanwhile the error estimate is given under some suitable conditions.Finally,comparing the approximate solution with exact solution through a few examples,shows the effectiveness of the method which proposed by this paper.
Generalized Logistic modelSingular perturbationMatching methodthe Methods of Upper and Lower SolutionUniform validity
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NSTL
万方数据
维普
