Transition fronts of KPP-type lattice random equations

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.

Rights

Attribution 4.0 International

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