Global behavior for a strongly coupled model of plankton allelopathy

Advances in Difference Equations

Yujuan Jiao¹ 

[1] College of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou, People's Republic of China

关键词: plankton;    allelopathy;    cross-diffusion;    global solution;    uniform boundedness;    stability;   

DOI  :  10.1186/1687-1847-2012-89

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, we consider a strongly coupled model of plankton allelopathy. Using the energy estimates and Gagliardo-Nirenberg-type inequalities, the existence and uniform boundedness of global solutions for the model are proved. Meanwhile, the sufficient conditions for global asymptotic stability of the positive equilibrium for this model are given by constructing a Lyapunov function. AMS Subject Classification (2000): 35K57; 35B35; 92D25.

【 授权许可】

CC BY