| 具有Hassell-Varley型反应函数的捕食者-食饵系统的随机建模 |
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| 引用本文： | 费清,许超群,原三领.具有Hassell-Varley型反应函数的捕食者-食饵系统的随机建模[J].上海理工大学学报,2016,38(2):103-108. |
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| 作者姓名： | 费清 许超群 原三领 |
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| 作者单位： | 上海理工大学 理学院, 上海 200093;上海理工大学 理学院, 上海 200093;上海理工大学 理学院, 上海 200093 |
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| 基金项目： | 国家自然科学基金资助项目(11271260);上海市教委科研创新重点项目(13ZZ116);沪江基金资助项目(B14005);上海市一流学科建设资助项目(XTKX2012) |
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| 摘 要： | 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.
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| 关 键 词： | 捕食者-食饵模型 Hassell-Varley型反应函数 连续时间马尔科夫链 随机建模 |
| 收稿时间： | 2015/6/23 0:00:00 |
Stochastic Modeling on a Predator-Prey System with Hassell-Varley Type Response Function |
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| FEI Qing,XU Chaoqun and YUAN Sanling.Stochastic Modeling on a Predator-Prey System with Hassell-Varley Type Response Function[J].Journal of University of Shanghai For Science and Technology,2016,38(2):103-108. |
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| Authors: | FEI Qing XU Chaoqun and YUAN Sanling |
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| Institution: | College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China;College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China;College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
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| Abstract: | 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. |
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| Keywords: | predator-prey model Hassell-Varley response function continuous time Markov chain stochastic modeling |
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