NON-CONSTANT POSITIVE STEADY STATES FOR A STRONGLY COUPLED NONLINEAR REACTION-DIFFUSION SYSTEM ARISING IN POPULATION DYNAMICS

被引：0

作者：

Wen, Zijuan ^{[1
]}

Qi, Yuan ^{[2
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

[2] Longdong Univ, Dept Math, Qingyang 745000, Peoples R China

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2015年 / 45卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Diffusion; cross-diffusion; food chain; non-constant positive steady states; stationary pattern formation; PREY-PREDATOR SYSTEM; CROSS-DIFFUSION; HETEROGENEOUS ENVIRONMENT; COEXISTENCE STATES; ELLIPTIC-SYSTEMS; MUTUALIST MODEL; SELF-DIFFUSION; INSTABILITY; BIFURCATION;

D O I：

10.1216/RMJ-2015-45-4-1333

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a strongly coupled reaction-diffusion system describing three interacting species in a simple food chain structure. Based on the Leray-Schauder degree theory, the existence of non-constant positive steady states is investigated. The results indicate that, when the intrinsic growth rate of the middle species is small, cross-diffusions of the predators versus the preys are helpful to create global coexistence (stationary patterns).

引用

页码：1333 / 1355

页数：23

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