## 留言板

 引用本文: 李慧玲. 一类强交错扩散的捕食模型弱解的整体存在性[J]. 应用数学和力学, 2009, 30(6): 677-689.
LI Hui-ling. Global Existence of Weak Solutions to a Prey-Predator Model With Strong Cross-Diffusion[J]. Applied Mathematics and Mechanics, 2009, 30(6): 677-689. doi: 10.3879/j.issn.1000-0887.2009.06.007
 Citation: LI Hui-ling. Global Existence of Weak Solutions to a Prey-Predator Model With Strong Cross-Diffusion[J]. Applied Mathematics and Mechanics, 2009, 30(6): 677-689.

## 一类强交错扩散的捕食模型弱解的整体存在性

##### doi: 10.3879/j.issn.1000-0887.2009.06.007

###### 作者简介:李慧玲(1977- ),女,湖南人,讲师,博士(E-mail:lihuiling_seu@yahoo.com.cn).
• 中图分类号: O175.26

## Global Existence of Weak Solutions to a Prey-Predator Model With Strong Cross-Diffusion

• 摘要: 考虑一类带有强交错扩散项的捕食模型解的整体存在性．借助于有限差分方法和熵不等式的相关性质及结论，证明了在高维空间上，该问题有整体存在的弱解．此外，还说明了所得的这个弱解是非负解．
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##### 出版历程
• 收稿日期:  2008-09-22
• 修回日期:  2009-04-21
• 刊出日期:  2009-06-15

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