随机Gompertz竞争模型解的渐近性分析
nalyse the asymptotic of the solution of a stochastic Gompertz competition model
本文考虑受环境因素扰动的随机Gompertz种群竞争模型，在已经证明的模型解的存在唯一性的基础上，由于其解的具体形式难以得出，因此为了更好的了解种群的生长情况，本文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。
his paper considers a stochastic Gompertz competition model with the influence of the environment. It has showed that the existence and uniqueness of the solution of this model.But it is difficult to have an explicit solution.So in order to gain a deeper understanding of the population,this paper continues to analyse it’s asymptotic behaviour and uses Lyapunov method to give the asymptotic moment estimation and upper rate estimation of the solution.
王芳芳、张建勋
生物科学理论、生物科学方法生物科学研究方法、生物科学研究技术数学
随机Gompertz模型渐近性Lyapunov函数方法
stochastic Gompertz modelasymptoticLyapunov method
王芳芳,张建勋.随机Gompertz竞争模型解的渐近性分析[EB/OL].(2008-12-17)[2025-08-04].http://www.paper.edu.cn/releasepaper/content/200812-501.点此复制
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