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Symmetry methods for a hyperbolic model for a class of populations

Author

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  • Naz, Rehana
  • Torrisi, Mariano

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.

Suggested Citation

  • Naz, Rehana & Torrisi, Mariano, 2023. "Symmetry methods for a hyperbolic model for a class of populations," Applied Mathematics and Computation, Elsevier, vol. 439(C).
    • Handle: RePEc:eee:apmaco:v:439:y:2023:i:c:s0096300322007123
    DOI: 10.1016/j.amc.2022.127640
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