Stability analysis for Lotka-Volterra systems based on an algorithm of real root isolation

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:201

Article; Proceedings Paper

Luo, Yong ; Lu, Zhengyi

关键词: Lotka-Volterra systems;    discrete diffusion;    Routh-Hurwitz theorem;    stability;    real root isolation;   

DOI  :  10.1016/j.cam.2005.12.036

来源: Elsevier

【 摘 要 】

Based on the theory of monotone flows of solutions of systems of differential equations. the Routh-Hurwitz theorem and a real root isolation algorithm of multivariate polynomials are applied to a class of Lotka-Volterra diffusion systems. An algorithm to determine the location of equilibria and the stability of the nonlinear dynamics systems is implemented in Maple. (c) 2006 Elsevier B.V. All rights reserved.

【 授权许可】

Free