| 一个考虑扩散的Holling-Tanner捕食-食饵模型研究 |
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| 引用本文： | 张国洪,王小利,王稳地.一个考虑扩散的Holling-Tanner捕食-食饵模型研究[J].西南师范大学学报(自然科学版),2012,37(3):16-19. |
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| 作者姓名： | 张国洪 王小利 王稳地 |
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| 作者单位： | 西南大学数学统计学院,重庆,400715 |
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| 摘 要： | 研究了一个在齐次Neumann边界条件下考虑扩散的Holling-Tanner捕食-食饵模型.首先,得到了系统的全局吸引子和持久性;然后,讨论了系统正常数平衡解的全局渐进稳定性;最后,研究了系统的Turning失稳性质.
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| 关 键 词： | Holling-Tanner捕食-食饵模型 全局吸引子 持续性 全局稳定性 Turning失稳 |
Qualitative Analysis of a Holling-Tanner Predator-Prey Model with Diffusion |
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| ZHANG Guo-hong
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WANG Xiao-li
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WANG Wen-di.Qualitative Analysis of a Holling-Tanner Predator-Prey Model with Diffusion[J].Journal of Southwest China Normal University(Natural Science),2012,37(3):16-19. |
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| Authors: | ZHANG Guo-hong WANG Xiao-li WANG Wen-di |
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| Institution: | School of Mathematics and Statistics,Southwest University,Chongqing 400715,China |
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| Abstract: | In this paper,we study a Holling-Tanner predator-prey model with diffusion under the homogeneous Neumann boundary condition.First,the qualitative properties,including global attractor and persistence property,are obtained.Then,the global stability of the unique positive constant solution is investigated.Finally,we study the Turning instability in some eigenmode. |
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| Keywords: | Holling-Tanner predator-prey model global attractor persistence property global stability Turning instability |
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