On three techniques of approximations for Volterra’ population-type model
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In the present paper, series solution by a decomposition technique,Pade approximation technique and asymptotic approximation technique are applied to solve a Volterra’s population-type model which has exact solution not only for non integral part but also for integral part. Like a typical solution of Volterra’s population model, the approximate solution with the range in between 0 and 1, exhibits a population rise along the logistic curve followed by a decay to zero in the long run.
Abstract
In the present paper, series solution by a decomposition technique,Pade approximation technique and asymptotic approximation technique are applied to solve a Volterra’s population-type model which has exact solution not only for non integral part but also for integral part. Like a typical solution of Volterra’s population model, the approximate solution with the range in between 0 and 1, exhibits a population rise along the logistic curve followed by a decay to zero in the long run.
참고문헌 (10)
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