| 一类具有HollingII型功能性反应的捕食者-食饵系统正周期解的存在性 |
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| 引用本文： | 杜明银,雒志学. 一类具有HollingII型功能性反应的捕食者-食饵系统正周期解的存在性[J]. 吉林林学院学报, 2010, 0(1): 19-23 |
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| 作者姓名： | 杜明银 雒志学 |
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| 作者单位： | [1]河南理工大学万方科技学院,河南郑州454100 [2]兰州交通大学数学系,甘肃兰州730070 |
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| 基金项目： | 基金项目：国家自然科学基金资助项目（10771048）. |
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| 摘 要： | 研究了一类具HollingII型功能性反应的捕食者一食饵系统非平凡周期解的存在性，其中捕食者种群具有密度制约，食饵种群服从Hallam增长，得到了存在正周期解的充分性条件．
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| 关 键 词： | 捕食者一食饵系统 Holling I／型功能性反应 周期解 Hallam增长 |
Existence of Positive Periodic Solution for a Predator-Prey System with Holling Type II Functional Response |
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| DU Ming-yin,LUO Zhi-xue. Existence of Positive Periodic Solution for a Predator-Prey System with Holling Type II Functional Response[J]. , 2010, 0(1): 19-23 |
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| Authors: | DU Ming-yin LUO Zhi-xue |
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| Affiliation: | 1. Wanfang College of Science ＆ Technology of HPU, Zhengzhou 454100, China ; 2. Mathematics Department of Lanzhou Jiaotong University ,Lanzhou 730070, China) |
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| Abstract: | The existence of positive periodic solutions for a predator-prey system with Holling II type functional response is researched, in which predator has density-dependent effect and the prey obeys the growth law of Hallam. The sufficient conditions of positive periodic solution are obtained. |
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| Keywords: | prey-predator system Holling II type functional response periodic solution Hallam growth |
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