A numerical method for solutions of Lotka-Volterra predator-prey model with time-delay  

作　　者：Suayip Yiizbasl Murat Karacaylr 

机构地区：[1]Department of Mathematics, Akdeniz University Antalya 07058, Turkey

出　　处：《International Journal of Biomathematics》2018年第2期283-298,共16页生物数学学报（英文版）

摘　　要：In this paper, we present a numerical scheme to obtain polynomial approximations for the solutions of continuous time-delayed population models for two interacting species. The method includes taking inner product of a set of monomials with a vector obtained from the problem under consideration. Doing this, the problem is transformed to a non- linear system of algebraic equations. This system is then solved, yielding coefficients of the approximate polynomial solutions. In addition, the technique of residual correction, which aims to increase the accuracy of the approximate solution by estimating its error, is discussed in some detail. The method and the residual correction technique are illustrated with two examples.

关 键 词：Continuous population models delay differential equations Lotka Volterraequation inner product residual error correction. 

分 类 号：Q141[生物学—生态学] TN946[生物学—普通生物学]