Transition fronts of KPP-type lattice random equations
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Date
2019-12-02
Authors
Cao, Feng
Gao, Lu
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Stability, Transition fronts, KPP-type lattice equations, Random equations
Citation
Cao, F., & Gao, L. (2019). Transition fronts of KPP-type lattice random equations. <i>Electronic Journal of Differential Equations, 2019</i>(129), pp. 1-20.