四种群交错扩散模型解的一致有界性  

Uniform boundedness of solutions for four- species crossdiffusion model

作　　者：王永斌[1] 赵延忠[1] 张小红[2] WANG Yongbin;ZHAO Yanzhong;ZHANG Xiaohong(Department of Basic Research, Qinghai University, Xining 810016, China;College of Finance and Economics, Qinghai University, Xining 810016, China)

机构地区：[1]青海大学基础部,西宁810016 [2]青海大学财经学院,西宁810016

出　　处：《计算机工程与应用》2017年第5期51-56,共6页Computer Engineering and Applications

基　　金：国家社会科学研究项目(No.15XMZ076)

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。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.

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 

分 类 号：O175.26[理学—数学]