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

[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.

[发布日期] 2007-04-15

[效力级别]  Proceedings Paper

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