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新疆大学数学与系统科学学院
Published:2015
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[1]谢秋霞,张龙,王新兵.具有食饵随机扩散的捕食-食饵系统(英文)[J].新疆大学学报(自然科学版),2015,32(01):40-44.
[1]谢秋霞,张龙,王新兵.具有食饵随机扩散的捕食-食饵系统(英文)[J].新疆大学学报(自然科学版),2015,32(01):40-44. DOI: 10.13568/j.cnki.651094.2015.01.008.
DOI:10.13568/j.cnki.651094.2015.01.008.
将一个经典的确定的捕食-食饵模型扩展为一个随机模型
得到了一个随机微分方程.基于Lyapunov理论
研究了随机模型对于任意给定的正的初始值的解的正性存在唯一性以及随机模型的解的随机最终有界性.
In this paper
we extend the classical predator-prey model from a deterministic framework to a stochastic one and formulate it as a stochastic differential equation. Then
we obtain the global existence of a positive unique solution with positive initial value and the stochastically ultimate boundedness of the positive solution to the stochastic model is derived.
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