| 稀疏效应下具有常投放的食饵-捕食系统极限环的存在性 |
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| 引用本文： | 贾娟,窦霁虹,曹明.稀疏效应下具有常投放的食饵-捕食系统极限环的存在性[J].延安大学学报(自然科学版),2010,29(3):13-15. |
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| 作者姓名： | 贾娟 窦霁虹 曹明 |
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| 作者单位： | 西北大学,数学系,陕西,西安,710127 |
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| 基金项目： | 西北大学研究生创新基金资助项目 |
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| 摘 要： | 研究了一类稀疏效应下食饵种群具有常投放的捕食系统,得到了该系统存在唯一稳定极限环的充分条件,并给出了投放对系统影响的生态解释,同时把杜超雄一文中食饵种群的增长率从三次多项式推广到四次多项式。
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| 关 键 词： | 稀疏效应 投放率 捕食系统 极限环 |
Existence of Limit Cycles about Prey-Predator System with Constant Rate Stoking under Sparse Effect |
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| JIA JUAN,DOU Ji-hong,CAO MING.Existence of Limit Cycles about Prey-Predator System with Constant Rate Stoking under Sparse Effect[J].Journal of Yan'an University(Natural Science Edition),2010,29(3):13-15. |
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| Authors: | JIA JUAN DOU Ji-hong CAO MING |
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| Institution: | ( Department of Mathematics,Northwest University,Xian 710127,China) |
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| Abstract: | A prey-predator system with constant rate stocking under sparse effect is discussed in this paper. Sufficient conditions of the existence,uniqueness of limit cycles are obtained,the ecologic explanation of rate stocking to the system is given,and the Du Chao-xiong＇s prey species growth is extended from three order polynomial to four order polynomial. |
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| Keywords: | sparse effect rate stocking pre-predator system limit cycle |
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