期刊
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
卷 10, 期 4, 页码 2307-2325出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2008.04.013
关键词
Travelling waves; Time delay integro-differential equations; Measure kernel convolution
In this work several models of fungal disease propagation are considered. They consist of reaction-diffusion systems coupled with ordinary differential equations with or without time delay as well as integro-differential system of equations. We derive some conditions that ensure the existence and uniqueness of travelling wave solutions for these various models. Our proof is based on a suitable re-formulation in the form of a nonlinear integral equation with measure kernel convolutions. (c) 2008 Elsevier Ltd. All rights reserved.
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