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A free Boundary Problem for a Reaction-Diffusion Equation Appearing in Biology

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  • J. O. Takhirov

    (Institute of Mathematics of Uzbek Academy of Science)

Abstract

This works studies a quasilinear, reaction-diffusion type parabolic free boundary problem modelling population dynamics. Hölder norm á priori estimates are established for the free boundary and the solution. Uniqueness of the solution is shown and qualitative properties of the solution are investigated.

Suggested Citation

  • J. O. Takhirov, 2019. "A free Boundary Problem for a Reaction-Diffusion Equation Appearing in Biology," Indian Journal of Pure and Applied Mathematics, Springer, vol. 50(1), pages 95-112, March.
    • Handle: RePEc:spr:indpam:v:50:y:2019:i:1:d:10.1007_s13226-019-0309-8
    DOI: 10.1007/s13226-019-0309-8
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    Cited by:

    1. Aktar, Most. Shewly & Akbar, M. Ali & Osman, M.S., 2022. "Spatio-temporal dynamic solitary wave solutions and diffusion effects to the nonlinear diffusive predator-prey system and the diffusion-reaction equations," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).

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