Stochastic Population Systems
Stochastic Population Systems
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DOI：
10.1080/07362990902844348
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发表时间：
2009-06
影响因子：
1.3
通讯作者：
Shuenn-Ren Cheng
中科院分区：
文献类型：
--
作者：
Shuenn-Ren Cheng
摘要 在本文中，我们将经典的非自治 Lotka-Volterra 模型随机扰动为随机微分方程。与大多数现有文章不同，例如，[3, 20]，本文中的系统参数是时间相关的。我们将给出随机微分方程具有唯一全局正解的充分条件。然后，我们将为矩以及解的样本路径建立一些新的渐近属性。特别是，我们将讨论人口系统中的两个基本问题，即最终有界性和灭绝。
Abstract In this article, we stochastically perturb the classical non-autonomous Lotka–Volterra model into the stochastic differential equation Different from most of existing articles, for example, [3, 20] the system parameters in this article are time-dependent. We will give a sufficient condition under which the stochastic differential equation will have a unique global positive solution. We will then establish some new asymptotic properties for the moments as well as for the sample paths of the solution. In particular, we will discuss two fundamental problems in population systems, namely ultimate boundedness and extinction.