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Blow-Up Solution of Modified-Logistic-Diffusion Equation

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  • P. Sitompul
  • Y. Soeharyadi

Abstract

Modified-Logistic-Diffusion Equation with Neumann boundary condition has a global solution, if the given initial condition satisfies , for all . Other initial conditions can lead to another type of solutions; i.e., an initial condition that satifies will cause the solution to blow up in a finite time. Another initial condition will result in another kind of solution, which depends on the diffusion coefficient . In this paper, we obtained the lower bound of , so that the solution of Modified-Logistic-Diffusion Equation with a given initial condition will have a global solution.

Suggested Citation

  • P. Sitompul & Y. Soeharyadi, 2019. "Blow-Up Solution of Modified-Logistic-Diffusion Equation," International Journal of Differential Equations, Hindawi, vol. 2019, pages 1-6, January.
    • Handle: RePEc:hin:jnijde:7205865
    DOI: 10.1155/2019/7205865
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