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Keywords = Lotka-Volterra funtctions

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11 pages, 290 KiB  
Article
Symmetries and Solutions for a Class of Advective Reaction-Diffusion Systems with a Special Reaction Term
by Mariano Torrisi and Rita Tracinà
Mathematics 2023, 11(1), 160; https://doi.org/10.3390/math11010160 - 28 Dec 2022
Cited by 2 | Viewed by 1814
Abstract
This paper is devoted to apply the Lie methods to a class of reaction diffusion advection systems of two interacting species u and v with two arbitrary constitutive functions f and g. The reaction term appearing in the equation for the species [...] Read more.
This paper is devoted to apply the Lie methods to a class of reaction diffusion advection systems of two interacting species u and v with two arbitrary constitutive functions f and g. The reaction term appearing in the equation for the species v is a logistic function of Lotka-Volterra type. Once obtained the Lie algebra for any form of f and g a Lie classification is carried out. Interesting reduced systems are derived admitting wide classes of exact solutions. Full article
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