| 一类具扩散的竞争Leslie型捕食模型 |
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| 引用本文： | 甘文珍,李高林.一类具扩散的竞争Leslie型捕食模型[J].扬州大学学报(自然科学版),2011,14(2). |
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| 作者姓名： | 甘文珍 李高林 |
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| 作者单位： | 1. 江苏技术师范学院数理学院,江苏常州,213001
2. 盐城师范学院数学科学学院,江苏盐城,224002 |
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| 基金项目： | 江苏技术师范学院青年科研基金资助项目(KYY09050); 江苏省高校自然科学基金资助项目(08KJD110008) |
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| 摘 要： | 对一类具扩散的竞争Leslie型捕食模型进行分析,用线性化和特征值的方法讨论平衡点的局部稳定性,通过Lyapunov函数方法结合局部稳定性证明了正平衡点的全局稳定性,并给出相应的数值模拟.
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| 关 键 词： | 捕食模型 扩散 全局稳定性 数值模拟 |
A diffusive Leslie type predator-prey model with competition |
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| GAN Wen-zhen,LI Gao-lin.A diffusive Leslie type predator-prey model with competition[J].Journal of Yangzhou University(Natural Science Edition),2011,14(2). |
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| Authors: | GAN Wen-zhen LI Gao-lin |
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| Institution: | GAN Wen-zhen1,LI Gao-lin2(1.Sch of Math & Phys,Jiangsu Teachers Coll of Tech,Changzhou 213001,China,2.Sch of Math Sci,Yancheng Teachers Coll,Yancheng 224002,China) |
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| Abstract: | In this paper,a diffusive Leslie type predator-prey model with competition is proposed.The local asymptotical stability of the equilibriums is investigated by the method of linearization and eigenvalue.Combining with this local stability result,the global asymptotical stability of the positive equilibrium is given by the method of Lyapunov function.The numerical simulations are also presented. |
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| Keywords: | predator-prey model diffusion global stability numerical simulations |
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