Feng Cao, Lu Gao
Abstract:
In this article, we investigate the existence and stability of random transition
fronts of KPP-type lattice equations in random media, and explore the influence
of the media and randomness on the wave profiles and wave speeds of such solutions.
We first establish comparison principle for sub-solutions and super-solutions of
KPP type lattice random equations and prove the stability of positive constant
equilibrium solution. Next, by constructing appropriate sub-solutions and
super-solutions, we show the existence of random transition fronts.
Finally, we prove the stability of random transition fronts of KPP-type lattice
random equations.
Submitted March15, 2019. Published December 2, 2019.
Math Subject Classifications: 35C07, 34K05, 34A34, 34K60.
Key Words: Stability; transition fronts; KPP-type lattice equations; random equations.
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Feng Cao Department of Mathematics Nanjing University of Aeronautics and Astronautics Nanjing, Jiangsu 210016, China email: fcao@nuaa.edu.cn |
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Lu Gao Department of Mathematics Nanjing University of Aeronautics and Astronautics Nanjing, Jiangsu 210016, China email: gaolunuaa@163.com |
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