Spreading solutions for a reaction diffusion equation with free boundaries in time-periodic environment

Date

2018-11-15

Authors

Li, Fang
Lu, Junfan

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

In this article, we consider a reaction diffusion equation with free boundaries in a time-periodic environment. Such models can be used to describe the spreading of a new or invasive species over a one-dimensional habitat, with the free boundaries representing the expanding fronts. We study an equation with a general time-periodic nonlinearity, and present some sufficient conditions for spreading phenomena. We also use time-periodic semi-waves to characterize the spreading solutions.

Description

Keywords

Spreading phenomenon, Free boundary, Time-periodic environment

Citation

Li, F., & Lu, J. (2018). Spreading solutions for a reaction diffusion equation with free boundaries in time-periodic environment. <i>Electronic Journal of Differential Equations, 2018</i>(185), pp. 1-12.

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Attribution 4.0 International

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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