| 一个捕食-被捕食-互惠模型反应扩散系统的稳定性条件 |
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| 引用本文： | 梁承姬,郑斯宁,张静茹. 一个捕食-被捕食-互惠模型反应扩散系统的稳定性条件[J]. 生物数学学报, 1996, 0(Z1) |
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| 作者姓名： | 梁承姬 郑斯宁 张静茹 |
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| 作者单位： | 大连理工大学!大连116024(梁承姬，郑斯宁)，新疆大学!乌鲁木齐830013(张静茹) |
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| 摘 要： | 本文利用Lyapunov直接方法讨论了一类捕食-被捕食-互惠模型的正值常态平衡解的稳定性．稳定性条件中包含对捕食与互惠种群扩散强度比例的限制．
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| 关 键 词： | 反应扩散 捕食-被捕食-互惠模型 lyapunov方法 平衡解 稳定性 |
Stability Conditions for a Reaction-Diffusion System of a Predator-Prey-Mutualist Model |
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| Liang Chengji,Zheng Sining,Zhang Jingru. Stability Conditions for a Reaction-Diffusion System of a Predator-Prey-Mutualist Model[J]. Journal of Biomathematics, 1996, 0(Z1) |
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| Authors: | Liang Chengji Zheng Sining Zhang Jingru |
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| Abstract: | In this paper,by means of Lyapunov direct method,the authors study the stability for the positive constant equilibrium solution to a reaction-diffusion system of a predator-preymutualist model.The stability conditions contain a restriction on the ratio of reaction strength between the mutualist and the predator. |
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| Keywords: | Reaction-diffusion predator-prey-mutualist model Lyapunov method equilibrium solution stability |
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