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一类具扩散的染病捕食者与被捕食模型

A diffusive predator-prey model with disease in the predator
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摘要 对一类具扩散的染病捕食者与被捕食模型进行分析.通过线性化和特征值的方法讨论系统平衡点的局部稳定性,用Lyapunov函数方法结合局部稳定性的结论给出了系统平衡点的全局稳定性. In this paper, a predator-prey model with disease in the predator and diffusion is discussed. The local stabilities are investigated by linearization and eigenvalue. The global asymptotical stabilities are given using the method of Lyapunov functions combining with the local stabilities.
作者 甘文珍
机构地区 江苏技术师范学院基础部
出处 《扬州大学学报（自然科学版）》 CAS CSCD 2007年第3期11-14,共4页 Journal of Yangzhou University：Natural Science Edition
基金 江苏省高校自然科学基金资助项目(05KJB110154)
关键词 捕食与被捕食模型 染病捕食者 扩散 全局稳定性 predator-prey model predator with disease diffusion global stability
分类号 O175.26 [理学—基础数学]
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参考文献8

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二级参考文献13

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扬州大学学报（自然科学版）
2007年 第3期

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