期刊名称：International Journal of Differential Equations
印刷版ISSN：1687-9643
电子版ISSN：1687-9651
出版年度：2019
卷号：2019
DOI：10.1155/2019/7205865
出版社：Hindawi Publishing Corporation
摘要：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.
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