Steady states of a nonlinear elliptic system arising from population dynamics

Boundary value problems

Ruyun Ma¹  Yanqiong Lu¹  Ruipeng Chen¹ 

[1] Department of Mathematics, Northwest Normal University, Lanzhou, P.R. China

关键词: elliptic systems;    coexistence states;    existence;    multiplicity;    bifurcation;   

DOI  :  10.1186/s13661-014-0185-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study the existence and multiplicity of coexistence states for an elliptic system modeling two subpopulations of the same species competing for resources. Our results generalize and complement the work of Bouguima et al. (Nonlinear Anal., Real World Appl. 9:1184-1201, 2008). In particular, an open problem proposed by Bouguima et al. is partially solved. MSC: 34B10, 34B18.

【 授权许可】

CC BY