Stability analysis of aaaa stochastic model with additive Allee effect

摘要：

In this paper we develop an asymptotic analysis of a stochastic logistic model with the additive Allee effect. Our model takes environmental noises into account. We discusses the existence, uniqueness of the solution to model and formulate sufficient conditions for stability of the positive equilibrium by means of the Lyapunov functions method. Furthermore, numerical simulations are introduced to support the theoretical analysis.

关键词： Additive Allee effect Logistic model Stochastic asymptotic stability

作者: Yongli Cai Hao Peng Weiming Wang

作者单位: College of Mathematics and Information Science, Wenzhou University, Wenzhou, 325035 P.R.China

会议类型: 国际会议

会议名称: The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)

会议地点: 南京

会议语种:英文

页码: 289-294

在线出版日期: 2011-06-01（万方平台首次上网日期，不代表论文的发表时间）