| PERIODIC SOLUTIONS FOR A DISCRETE TIME RATIO-DEPENDENT TWO PREDATOR-ONE PREY SYSTEM |
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| 作者姓名： | 柏灵 范猛 王克 |
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| 作者单位： | Institute of Math. Science，Jilin University，Changchun 130061，Dept. of Math.，Northeast Normal University，Changchun 130024，Dept. of Math.，Northeast Normal University，Changchun 130024 |
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| 基金项目： | Supported by National Natural Sciences Foundation of P.R.China (No.10171010 and 10201005)，the Key Project on Science and Technology of the Education Ministry of P.R.China(No.01061) |
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| 摘 要： | In this paper, we consider a three-species ratio-dependent predator-prey model governed by difference equations with periodic coefficients. By using the method of coincidence degree, we discuss the existence of positive periodic solutions of this system, a set of easily verifiable sufficient conditions are derived.
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| 关 键 词： | 动力学 数学模拟 重合度 正周期解 系数 微分方程 |
PERIODIC SOLUTIONS FOR A DISCRETE TIME RATIO-DEPENDENT TWO PREDATOR-ONE PREY SYSTEM |
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| Bai Ling.PERIODIC SOLUTIONS FOR A DISCRETE TIME RATIO-DEPENDENT TWO PREDATOR-ONE PREY SYSTEM[J].微分方程年刊(英文版),2004,20(1):1-13. |
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| Authors: | Bai Ling |
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| Institution: | [1]InstituteofMath.Science,JilinUniversity,Changchun130061 [2]Dept.ofMath.,NortheastNormalUniversity,Changchun180024 |
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| Abstract: | In this paper, we consider a three-species ratio-dependent predator-prey model governed by difference equations with periodic coefficients. By using the method of coincidence degree, we discuss the existence of positive periodic solutions of this system, a set of easily verifiable sufficient conditions are derived. |
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| Keywords: | ratio-dependent predator-prey system positive periodic solution difference equation coincidence degree |
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