A Legendre spectral element method on a large spatial domain to solve the predator-prey system modeling interacting populations

被引：41
作者：
Dehghan, Mehdi [1 ]
Sabouri, Mania [1 ]
机构：
[1] Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran 15914, Iran
来源：
APPLIED MATHEMATICAL MODELLING | 2013年 / 37卷 / 03期
关键词：
Legendre spectral element method (LSEM); Predator-prey system; Large spatial domain; Nonlinear system; Mathematical biology; KLEIN-GORDON EQUATION; NUMERICAL-SOLUTION; 2-D;
D O I：
10.1016/j.apm.2012.03.030
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A Legendre spectral element method is developed for solving a one-dimensional predatorprey system on a large spatial domain. The predator-prey system is numerically solved where the prey population growth is described by a cubic polynomial and the predators functional response is Holling type I. The discretization error generated from this method is compared with the error obtained from the Legendre pseudospectral and finite element methods. The Legendre spectral element method is also presented where the predator response is Honing type II and the initial data are discontinuous. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：1028 / 1038
页数：11
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