| 捕食-被捕食反应扩散方程非线性奇摄动问题 |
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| 引用本文： | 欧阳成,莫嘉琪. 捕食-被捕食反应扩散方程非线性奇摄动问题[J]. 生物数学学报, 2005, 20(2): 135-141 |
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| 作者姓名： | 欧阳成 莫嘉琪 |
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| 作者单位： | 湖州师范学院,浙江,湖州,313000 |
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| 基金项目： | Supported by the National Natural Science Foundation of China (90111011 and 10471039)，the National Key Project for Basics Research (2003CB415101-03 and 2004CB418304)，the Key Project of the Chinese Academy of Sciences (KZCX3-SW-221)，the Natural Science Foundation of Zhejiang Province(l02009) |
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| 摘 要： | 研究了非线性反应扩散方程奇摄问题，在适当的条件下，首先求出了原问题的外部解，然后利用伸长变量和幂级数展开理论构造出解的形式渐近展开式．最后利用微分不等式理论，讨论了问题解的一致有效性和渐近性态。
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| 关 键 词： | 非线性 反应扩散 奇摄动 |
The Nonlinear Singularly Perturbed Problems for Predator-Prey Reaction Diffusion Equations |
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| OUYANG Cheng,MO Jia-qi. The Nonlinear Singularly Perturbed Problems for Predator-Prey Reaction Diffusion Equations[J]. Journal of Biomathematics, 2005, 20(2): 135-141 |
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| Authors: | OUYANG Cheng MO Jia-qi |
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| Abstract: | The nonlinear singularly perturbed problems for predator-prey reaction diffusion equations is considered. Under suitable conditions, firstly, the outer solution of the original problem is obtained, secondly, using the stretched variable and the expanding theory of power series the formal asymptotic expansion of the solution is constructed, and finally, using the theory of differential inequalities the uniform validity and asymptotic behavior of the solution are studied. |
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| Keywords: | Nonlinear Reaction diffusion Singular perturbation |
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