一类捕食-食饵系统的新的行波解

计算机工程与应用 ›› 2015, Vol. 51 ›› Issue (4): 66-70.

一类捕食-食饵系统的新的行波解

于秀清1，2，张立华1，2，刘艳芹1，2

1.德州学院数学科学学院，山东德州 253023
2.德州学院数据处理与分析中心，山东德州 253023

出版日期:2015-02-15 发布日期:2015-02-04

New travelling wave solutions to predator-prey system

YU Xiuqing1，2, ZHANG Lihua1，2, LIU Yanqin1，2

1.College of Mathematical Science, Dezhou University, Dezhou, Shandong 253023, China
2.The Center of Data Processing and Analysis, Dezhou University, Dezhou, Shandong 253023, China

Online:2015-02-15 Published:2015-02-04

摘要/Abstract

摘要： 利用改进的[(G/G)-]展开法，借助软件的符号计算功能，求出了一类用来描述捕食-食饵群落时空动力性且食饵的平均生长率具有Allee效应的非线性偏微分方程组的新的行波解，这些解的性质合理地反映了生物入侵问题与参数值之间的相互依赖关系。

关键词: [(G/G)-]展开法, 捕食-食饵系统, 行波解

Abstract: An improved [(G/G)-]expansion method is employed to construct the travelling wave solutions for a system of a coupled nonlinear partial differential equations describing the spatio-temporal dynamics of a predator-prey community where the prey per capita growth rate is subject to the Allee effect. With the help of symbol computing software maple, some new solutions are obtained to this model for two different wave speeds. The properties of solutions reasonably reflect the interdependence of biological invasion and parameter values.

Key words: [(G/G)-]expansion method, predator-prey system, travelling wave solutions

于秀清1，2，张立华1，2，刘艳芹1，2. 一类捕食-食饵系统的新的行波解[J]. 计算机工程与应用, 2015, 51(4): 66-70.

YU Xiuqing1，2, ZHANG Lihua1，2, LIU Yanqin1，2. New travelling wave solutions to predator-prey system[J]. Computer Engineering and Applications, 2015, 51(4): 66-70.