| 带饱和项的互惠交错扩散模型整体解的存在性和稳定性 |
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| 引用本文： | 安海龙,;杨芳,;李艳玲.带饱和项的互惠交错扩散模型整体解的存在性和稳定性[J].生物数学学报,2009(4):649-656. |
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| 作者姓名： | 安海龙 ;杨芳 ;李艳玲 |
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| 作者单位： | [1]陕西师范大学数学与信息科学学院,陕西西安710061; [2]宝鸡文理学院数学系,陕西宝鸡721007 |
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| 基金项目： | 国家自然科学基金（10971124）资助; 宝鸡文理学院院级项目（ZK08107） |
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| 摘 要： | 应用能量估计方法和Gagliardo-Nirenberg型不等式证明了带饱和项的Shigesada-Kawasaki-Teramoto两种群互惠模型在齐次Neumann边值条件下整体解的存在唯一性和一致有界性.通过构造Lyapunov函数给出了该模型正平衡点全局渐近稳定的条件.
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| 关 键 词： | 交错扩散 整体解 一致有界性 稳定性 |
Existence and Stability of Global Solutions for a Cooperative Cross-Diffusion Model with Saturation |
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| Institution: | AN Hai-long YANG Fang LI Yan-ling (1 College of Mathematics and Information Science,Shanxi Normal University,Xi＇an Shanxi 710061 China) (2 Department of Mathematics,Baoji College of Arts and Sciences,Baoji Shanxi 721007 China) |
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| Abstract: | The method of energy estimate and Gagliardo-Nirenberg type inequalities are employed in order to prove the existence,uniqueness and uniform boundedness of global solutions for a two-species Shigesada-Kawasaki-Teramoto cooperative model with saturated item with homogeneous Neumann boundary value condition.By constructing Lyapunov function,the sufficient condition of global asymptotic stability of the positive equilibrium point for this model is given. |
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| Keywords: | Cross-diffusion Global solutions Uniform boundedness Stability |
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