Existence of global solutions for a three-species predator-prey model with cross-diffusion

被引：7
|
作者：
Pang, P. Y. H. [1 ]
Wang, M. X. [2 ]
机构：
[1] Natl Univ Singapore, Dept Math, Singapore 117543, Singapore
[2] SE Univ, Dept Math, Nanjing 210096, Peoples R China
来源：
MATHEMATISCHE NACHRICHTEN | 2008年 / 281卷 / 04期
关键词：
predator-prey model; cross diffusion; global existence;
D O I：
10.1002/mana.200510624
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this short note, we study a strongly coupled system of partial differential equations which models the dynamics of a two-predator-one-prey ecosystem in which the prey exercises defense switching and the predators collaboratively take advantage of the prey's strategy. We prove the existence of global strong solutions. (C) 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
引用
收藏
页码：555 / 560
页数：6
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