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The Positive Definiteness of a Class of Polynomials from the Global Stability Analysis of Lotka-Volterra Systems
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| Computers and Mathematics with Applications |
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In this paper, a class of Lotka-Volterra discrete diffusion systems is considered. A mechanical procedure for checking the positive definiteness of polynomials from the stability analysis of these diffusion systems is described. Some known results of lower-dimensional systems are checked and the Hofbauer-So-Takeuchi conjecture is proved in the case of n=4 based on the proposed procedure and the computer algebraic system Mathematica.
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