A nonlinear L2-stability analysis for two-species population dynamics with dispersal

被引：0
|
作者：
Rionero, S [1 ]
机构：
[1] Univ Naples Federico II, Dept Math & Applicat R Caccioppoli, I-80126 Naples, Italy
来源：
MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2006年 / 3卷 / 01期
关键词：
nonlinear stability; Liapunov direct method; two-species population dynamics; reaction diffusion equations;
D O I：
暂无
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The nonlinear L-2-stability (instability) of the equilibrium states of two-species population dynamics with dispersal is studied. The obtained results are based on (i) the rigorous reduction of the L-2-nonlinear stability to the stability of the zero solution of a linear binary system of ODEs and (ii) the introduction of a particular Liapunov functional V such that the sign of dV/dt along the solutions is linked directly to the eigenvalues of the linear problem.
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页码：189 / 204
页数：16
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