Title

An Analytical Solution For A Nonlinear Time-Delay Model In Biology

Keywords

Homotopy analysis method; Series solution; Time-delay

Abstract

In this paper, the homotopy analysis method is applied to develop a analytic approach for nonlinear differential equations with time-delay. A nonlinear model in biology is used as an example to show the basic ideas of this analytic approach. Different from other analytic techniques, the homotopy analysis method provides a simple way to ensure the convergence of the solution series, so that one can always get accurate approximations. A new discontinuous function is defined so as to express the piecewise continuous solutions of time-delay differential equations in a way convenient for symbolic computations. It is found that the time-delay has a great influence on the solution of the time-delay nonlinear differential equation. This approach has general meanings and can be applied to solve other nonlinear problems with time-delay. © 2008 Elsevier B.V. All rights reserved.

Publication Date

7-1-2009

Publication Title

Communications in Nonlinear Science and Numerical Simulation

Volume

14

Issue

7

Number of Pages

3141-3148

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.cnsns.2008.11.003

Socpus ID

59849083721 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/59849083721

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