Blow-Up Solution of Modified-Logistic-Diffusion Equation

P. Sitompul and Y. Soeharyadi

International Journal of Differential Equations, 2019, vol. 2019, 1-6

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.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:7205865

DOI: 10.1155/2019/7205865

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