Stability analysis for Lotka–Volterra systems based on an algorithm of real root isolation |
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Authors: | Yong Luo Zhengyi Lu |
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Institution: | 1. Department of Mathematics, Wenzhou University, Wenzhou 325003, China;2. Institute of Computer Applications, Academia Sinica, Chengdu 610041, China |
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Abstract: | 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. |
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Keywords: | 34D20 93D05 |
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