具有Hassell-Varley型反应函数的捕食者-食饵系统的随机建模

Stochastic Modeling on a Predator-Prey System with Hassell-Varley Type Response Function

基于具有Hassell-Varley型功能反应函数的确定性捕食系统建立了两类新的随机捕食者-食饵模型:连续时间马尔科夫链模型和伊藤型随机微分方程模型.分析了不同形式的出生率和死亡率对模型动力学的影响,并通过数值模拟讨论了模型的渐近性态.

Based on a deterministic predator-prey system with Hassell-Varley type response function,two new stochastic predator-prey models,a continuous time Markov chain model and an Ito type stochastic predator-prey model were established.The influences of different forms of birth and death rate on the dynamics of the model were analyzed.Using numerical simulations,the asymptotic behaviors of the models were discussed.