| 在脉冲污染环境中具有阶段结构的捕食食饵Gompertz模型的动力学性质 |
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| 引用本文： | 张茜,刘兵,石丽云.在脉冲污染环境中具有阶段结构的捕食食饵Gompertz模型的动力学性质[J].生物数学学报,2010(2):299-307. |
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| 作者姓名： | 张茜 刘兵 石丽云 |
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| 作者单位： | [1]鞍山师范学院数学系,辽宁鞍山114007 [2]辽宁师范大学数学学院,辽宁大连116029 [3]沈阳体育学院附属竞技体校,辽宁沈阳110102 |
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| 基金项目： | 国家自然科学基金项目（10971001） |
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| 摘 要： | 研究了在脉冲污染环境中,捕食者具有阶段结构的捕食食饵Gompertz模型的动力学性质,获得了捕食者灭绝周期解全局吸引和系统持续生存的条件.
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| 关 键 词： | 环境污染 毒素脉冲 捕食食饵模型 灭绝性 持续生存 |
The Dynamics of a Stage Structured Predator-Prey Gompertz Model in a Polluted Environment with Pulse Toxicant Input |
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| ZHANG Qian,LIU Bing,SHI Li-yun.The Dynamics of a Stage Structured Predator-Prey Gompertz Model in a Polluted Environment with Pulse Toxicant Input[J].Journal of Biomathematics,2010(2):299-307. |
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| Authors: | ZHANG Qian LIU Bing SHI Li-yun |
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| Institution: | 1 Department of Mathematics, Anshan Normal University, Anshan Liaoning 114007 China) (2 Department of Mathematics, Liaoning Normal University, Dalian Liaoning 116029 China) (3 Affiliated Sport School of Shengyang Sport University, Shenyang Liaoning 110102 China) |
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| Abstract: | In this paper, we formulate a predator-prey Gompertz model in a polluted environment with pulse toxicant input and the predator is stage structured. We obtain sufficient conditions for global attractability of the predator-extinction periodic solution and permanence of the system. |
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| Keywords: | Environmental pollution Impulsive toxin input Predator-prey model Extinction Permanence |
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