| 一类Hassell模型的定性分析及数值模拟 |
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| 引用本文： | 孙婷婷,王琳琳.一类Hassell模型的定性分析及数值模拟[J].鲁东大学学报,2010,26(1):4-8. |
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| 作者姓名： | 孙婷婷 王琳琳 |
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| 作者单位： | 鲁东大学数学与信息学院,山东烟台264025 |
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| 基金项目： | 中国博士后科学基金，鲁东大学校重点基金，鲁东大学创新团队建设项目 |
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| 摘 要： | 研究了一类既具有种群本身的密度制约又具有功能性反应的非线性种群模型——Hassell模型,在F(x,y)=k(1-e1-cx),G(x,y)=s(1-ryx)的情形下,利用微分方程定性理论讨论了平衡点的存在性和稳定性,其极限环在第一象限内的不存在性,并对x,y取给定初始值的函数图象进行了分析.
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| 关 键 词： | Hassell模型 平衡点 极限环 |
Qualitative Analysis and Numerical Simulation of A Class of Hassell Model |
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| SUN Ting-ting,WANG Lin-lin.Qualitative Analysis and Numerical Simulation of A Class of Hassell Model[J].Ludong University Journal (Natural Science Edition),2010,26(1):4-8. |
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| Authors: | SUN Ting-ting WANG Lin-lin |
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| Institution: | SUN Ting-ting,WANG Lin-lin(School of Mathematics , Information,Ludong University,Yantai 264025,China) |
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| Abstract: | A class of nonlinear population model which has density constraints and functional response,i.e.,Hassell model,has been investigated.Under the case of F(x,y)=k(1-e1-cx),G(x,y)=s(1-ryx), by using qualitative theory of differential equations,the existence and stability of its equilibria are discussed,and the unexistence of the limit cycle in the first quadrant is obtained.Finally,the figures for a given initial value are sketched and analyzed. |
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| Keywords: | Hassell model equilibrium limit cycle |
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