| 带有Leslie-Gower功能性反应的三维食物链模型研究 |
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| 引用本文： | 江晓武,丁其科.带有Leslie-Gower功能性反应的三维食物链模型研究[J].数学的实践与认识,2008,38(9):115-122. |
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| 作者姓名： | 江晓武 丁其科 |
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| 作者单位： | 信阳师范学院,数学与信息科学学院,河南,信阳,464000 |
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| 摘 要： | 研究了离散时间上带有Leslie-Gower功能性反应的三维食物链模型.首先给出保证系统永久持续生成的条件,由于系统系数的周期性,正周期解是存在的,最后通过在正的周期解领域内线性化系统,并通过构造Lyapunov函数,我们得出了保证系统正周期解全局稳定的条件.
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| 关 键 词： | 食物链模型 Leslie-Gower功能性反应 周期解 |
| 修稿时间： | 2007年11月7日 |
Study of the Three Dimensional Food-chain Model with Leslie-Gower Functional Response |
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| JIANG Xiao-wu,DING Qi-ke.Study of the Three Dimensional Food-chain Model with Leslie-Gower Functional Response[J].Mathematics in Practice and Theory,2008,38(9):115-122. |
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| Authors: | JIANG Xiao-wu DING Qi-ke |
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| Abstract: | We consider a three dimesional food-chain model with Leslie-Gower functional response on discrete time.At first sufficient conditions which guarantee the permanence of the model are obtained.Because the coefficients in the model are periodic,the existence of periodic solutions is also obtained.Finally,by linearization of the model at the neighborhood of postive periodic solution and constructing a Lyapunov function,sufficient conditions are obtained to ensure the global stability of the positive periodic solution. |
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| Keywords: | predator-prey system topological degree Leslie-Gower scheme periodic solution |
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