| 一个具有比率依赖响应函数的捕食模型正解的稳定性 |
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| 引用本文： | 任丽萍,高静. 一个具有比率依赖响应函数的捕食模型正解的稳定性[J]. 长春师范学院学报, 2011, 0(8): 4-7 |
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| 作者姓名： | 任丽萍 高静 |
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| 作者单位： | 徐州建筑职业技术学院外语与公共基础教学学院;徐州师范大学数学科学学院 |
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| 基金项目： | 徐州建筑学院自然科学基金项目(JYA309-13) |
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| 摘 要： | 本文研究具有比率依赖响应函数的捕食模型,为了限制捕食者的过度增长,模型引入捕食者方程也带有自限制项的捕食模型,利用相平面分析方法证明了模型正常数解的全局稳定性。
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| 关 键 词： | 比率依赖 捕食模型 正常数平衡解 全局稳定性 |
Stability of the Positive Solution for a Prey-Predator Model with Ratio-Dependent Functional Response |
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| REN Li-ping,GAO Jing. Stability of the Positive Solution for a Prey-Predator Model with Ratio-Dependent Functional Response[J]. Journal of Changchun Teachers College, 2011, 0(8): 4-7 |
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| Authors: | REN Li-ping GAO Jing |
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| Affiliation: | 1.School of Foreign Languages and General Education,Xuzhou Institute of Architectural Technology,Xuzhou 221008,China;2.School of Mathematical Science,Xuzhou Normal University,Xuzhou 221116,China) |
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| Abstract: | In this paper,we discuss a prey-predator model with ratio-dependent functional response.To limit the excessive growth of the predator,we introduce the prey-predator model with self-confined term for the predator.The phase plane analysis method is used to prove the global stability of the positiveconstant solution. |
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| Keywords: | ratio-dependent prey-predator model positive constant steady-states global stability |
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