Construction and application of exact solutions of the diffusive Lotka-Volterra system: a review and new results
Roman Cherniha,
Vasyl' Davydovych
Abstract:This review summarizes all known results (up to this date) about methods of integration of the classical Lotka-Volterra systems with diffusion and presents a wide range of exact solutions, which are the most important from applicability point of view. It is the first attempt in this direction. Because the diffusive Lotka-Volterra systems are used for mathematical modeling enormous variety of processes in ecology, biology, medicine, physics and chemistry, the review should be interesting not only for specialist… Show more
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