Evolution in a changing environment: existence of solutions
Volume 98 / 2003
Colloquium Mathematicum 98 (2003), 97-111
MSC: Primary 45J05; Secondary 92D15.
DOI: 10.4064/cm98-1-8
Abstract
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.
