Evolution in a changing environment: existence of solutions

P. Rybka, Q. Tang, and D. Waxman. "Evolution in a changing environment: existence of solutions." Colloquium Mathematicae 98.1 (2003): 97-111. <http://eudml.org/doc/285075>.

@article{P2003,
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.},
author = {P. Rybka, Q. Tang, D. Waxman},
journal = {Colloquium Mathematicae},
keywords = {nonlinear integral equations; population dynamics; nonlinear evolution equation; convolution; contraction mapping principle; local existence},
language = {eng},
number = {1},
pages = {97-111},
title = {Evolution in a changing environment: existence of solutions},
url = {http://eudml.org/doc/285075},
volume = {98},
year = {2003},
}

TY - JOUR
AU - P. Rybka
AU - Q. Tang
AU - D. Waxman
TI - Evolution in a changing environment: existence of solutions
JO - Colloquium Mathematicae
PY - 2003
VL - 98
IS - 1
SP - 97
EP - 111
AB - 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.
LA - eng
KW - nonlinear integral equations; population dynamics; nonlinear evolution equation; convolution; contraction mapping principle; local existence
UR - http://eudml.org/doc/285075
ER -