| 具有比率依赖的食饵-捕食随机模型的分析 |
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| 引用本文： | 武丽凤,熊佐亮,韦秋妤.具有比率依赖的食饵-捕食随机模型的分析[J].南昌大学学报(理科版),2012,36(2):103-109. |
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| 作者姓名： | 武丽凤 熊佐亮 韦秋妤 |
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| 作者单位： | 南昌大学数学系 |
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| 基金项目： | 江西自然科学基金资助项目 |
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| 摘 要： | 研究在随机干扰下的具有比率依赖的HollingⅢ功能反应的食饵-捕食模型。通过运用随机微分方程比较定理和伊藤公式,证明了系统有唯一正解并且是随机最终有界的,也证明了系统在一定的条件下,是平均持久的。除此之外,还得到了系统趋于灭绝的条件。最后通过数值模拟验证了所得理论结果的正确性
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| 关 键 词： | 比率依赖的食饵-捕食模型 随机干扰 随机最终有界 平均持久 灭绝 |
Analysis of stochastic ratio-dependent predator-prey model |
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| WU Li-feng
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XIONG Zuo-liang
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WEI Qiu-yu.Analysis of stochastic ratio-dependent predator-prey model[J].Journal of Nanchang University(Natural Science),2012,36(2):103-109. |
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| Authors: | WU Li-feng XIONG Zuo-liang WEI Qiu-yu |
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| Institution: | (Department of Mathematics,Nanchang University,Nanchang 330031,China) |
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| Abstract: | It discussed a stochastic ratio-dependent predator-prey system with Holling III functional response.By the comparison theorem of stochastic equations and formula,we show that there is a unique positive solution to the system and the positive solution is stochastically ultimately bounded.Moreover,under some conditions,we conclude that the stochastic model is persistent in mean.Besides,a condition for species to be extinct is established.In the end,it used some numerical simulations to confirm the results. |
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| Keywords: | Ratio-dependent predator-prey model stochastic perturbation stochastically ultimately bounded persistent in mean extinction |
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