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).
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页码：1333 / 1355
页数：23
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