Symmetry methods for a hyperbolic model for a class of populations

Rehana Naz and Mariano Torrisi

Applied Mathematics and Computation, 2023, vol. 439, issue C

Abstract: We investigate a hyperbolic system that describe the dispersal dynamics of a population, introduced by Méndez and Camacho (1997)[1], in Lie symmetry classification perspective. A Lie group classification is provided for different forms of two constitutive functions: the propagation coefficient D(u) and the reaction term r(u). We establish the Lie symmetry determining equations by utilizing an equivalence generator and the projection theorem. Several extensions of principal Lie algebra are found for different forms of D(u) and r(u). By performing classical reductions we obtain several exact solutions.

Keywords: Reaction-diffusion equations; Hyperbolic systems; Extended thermodynamics; Equivalence transformations; Symmetries; Exact solutions (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:439:y:2023:i:c:s0096300322007123

DOI: 10.1016/j.amc.2022.127640

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