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随机Gompertz竞争模型解的渐近性分析

发表时间:2009-07-15  浏览量:1466  下载量:630
全部作者: 王芳芳,张建勋
作者单位: 宁波大学理学院
摘 要: 考虑受环境因素扰动的随机Gompertz种群竞争模型,在已证明模型解存在唯一性的基础上,由于其解的具体形式难以得出,为了更好地了解种群生长情况,继续分析其渐近行为。利用Lyapunov函数方法给出解的渐近瞬时估计和上限增长率估计,得到渐近瞬时有界性和上限增长有界性。�
关 键 词: 微分动力系统;随机微分方程;渐近性;Lyapunov函数方法;Gompertz模型
Title: Analysis on the asymptotic of the solution for a stochastic Gompertz competition model
Author: WANG Fangfang, ZHANG Jianxun
Organization: Faculty of Science, Ningbo University
Abstract: This paper considers a stochastic Gompertz competition model with the influence of environment. It is difficult to get an explicit solution, so based on the existence and uniqueness of the solution for this model and in order to gain a deeper understanding of the population growth, this paper continues to analyze its asymptotic behavior and gives the asymptotic moment estimation and upper rate estimation of the solution by Lyapunov method, and receives the boundedness for asymptotic moment and upper rate.
Key words: differential dynamic system; stochastic differential equation; asymptotic; Lyapunov function method; Gompertz model
发表期数: 2009年7月第13期
引用格式: 王芳芳,张建勋. 随机Gompertz竞争模型解的渐近性分析[J]. 中国科技论文在线精品论文,2009,2(13):1356-1361.
 
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