Global Solutions to a three-species Predator-prey model with Diffusion

被引：0

作者：

Wei, Chuangwen ^{[1
]}

Chen, Meiyan ^{[1
]}

Luo, Zhixue ^{[1
]}

机构：

[1] Lanzhou Jiaotong Univ, Sch Math Phys & Software Engn, Lanzhou 730070, Peoples R China

来源：

PROCEEDINGS OF THE SECOND INTERNATIONAL CONFERENCE ON MODELLING AND SIMULATION (ICMS2009), VOL 2 | 2009年

关键词：

Predator-prey; self-diffusion; cross-diffusion; global solutions; KAWASAKI-TERAMOTO MODEL; CROSS; SYSTEMS; EXISTENCE; STABILITY; STATES;

D O I：

暂无

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A predator-prey model consisting of two prey species and one predator species is studied. Very few mathematical results are known for this model with diffusion. Using the energy estimate and Gagliardo-Nirenberg-type inequalities, the global existence of solutions for the model of cross-diffusion type is investigated when the space dimension is less than 6.

引用

页码：261 / 267

页数：7

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