We establish the existence of solutions of an intrinsically nonlinear differential-integral equation that arises from the mathematical modelling of the evolution of an asexual population in a changing environment. The main objective is to pave the way for a rigorous analysis of the linear stability of travelling wave solutions of the corresponding problem.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm98-1-8,
author = {P. Rybka and Q. Tang and D. Waxman},
title = {Evolution in a changing environment: existence of solutions},
journal = {Colloquium Mathematicae},
volume = {96},
year = {2003},
pages = {97-111},
zbl = {1071.45008},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm98-1-8}
}
P. Rybka; Q. Tang; D. Waxman. Evolution in a changing environment: existence of solutions. Colloquium Mathematicae, Tome 96 (2003) pp. 97-111. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm98-1-8/