Uniform boundedness of solutions for four-species cross-diffusion model

doi:10.3778/j.issn.1002-8331.1507-0312

Computer Engineering and Applications ›› 2017, Vol. 53 ›› Issue (5): 51-56.DOI: 10.3778/j.issn.1002-8331.1507-0312

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Uniform boundedness of solutions for four-species cross-diffusion model

WANG Yongbin1, ZHAO Yanzhong1, ZHANG Xiaohong2

1. Department of Basic Research, Qinghai University, Xining 810016, China
2. College of Finance and Economics, Qinghai University, Xining 810016, China

Online:2017-03-01 Published:2017-03-03

四种群交错扩散模型解的一致有界性

王永斌1，赵延忠1，张小红2

1.青海大学基础部，西宁 810016
2.青海大学财经学院，西宁 810016

Abstract

Abstract: Using method of energy estimates and Gagliardo-Nirenberg type inequalities, the uniform boundedness and global existence of nonnegative solutions for a four-species predator-prey cross-diffusion model are proved when the space dimension is one.

Key words: predator-prey model, self-diffusion, cross-diffusion, uniform boundedness, global solution

摘要： 应用能量估计方法和Gagliardo-Nireberg不等式证明一类四种群捕食者-食饵交错扩散模型在一维空间中非负整体解的存在性和一致有界性。

关键词: 捕食者-食饵模型, 自扩散, 交错扩散, 一致有界性, 整体解

WANG Yongbin1, ZHAO Yanzhong1, ZHANG Xiaohong2. Uniform boundedness of solutions for four-species cross-diffusion model[J]. Computer Engineering and Applications, 2017, 53(5): 51-56.

王永斌1，赵延忠1，张小红2. 四种群交错扩散模型解的一致有界性[J]. 计算机工程与应用, 2017, 53(5): 51-56.

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Uniform boundedness of solutions for four-species cross-diffusion model

四种群交错扩散模型解的一致有界性

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