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AN ITERATIVE METHOD FOR A NONLINEARTIME-DELAY MODEL IN BIOLOGY

Publish Year: 1393
Type: Conference paper
Language: English
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SRCMSA02_054

Index date: 18 November 2014

AN ITERATIVE METHOD FOR A NONLINEARTIME-DELAY MODEL IN BIOLOGY abstract

This paper presents a method for nding the analysisof nonlinear time-varying delay logistic equation using VariationalIteration Method (VIM). The method is based on the use of La-grange multiplier for identi cation of optimal value of a parameterin a functional. This procedure is a powerful tool for solving largeamount of problems. Also it provides a sequence which convergesto the solution of the problem without discretization of the vari-ables. In this study an idea is proposed that accelerates the conver-gence of the sequence which results from the variational iterationformula for solving systems of Delay Di erential Equations (DDE).Illustrative examples are included to demonstrate the validity andapplicability of the technique.

AN ITERATIVE METHOD FOR A NONLINEARTIME-DELAY MODEL IN BIOLOGY authors