Geodesic
Evolution in a changing environment: existence of solutions
P. Rybka1 ; Q. Tang2 ; D. Waxman3
1 Institute of Applied Mathematics and Mechanics Warsaw University Banacha 2 02-097 Warszawa, Poland
2 SMS, Pevensey I University of Sussex Brighton BN1 9QH, United Kingdom
3 School of Biological Sciences University of Sussex Falmer, Brighton BN1 9QG, United Kingdom
Colloquium Mathematicum, Tome 98 (2003) no. 1, pp. 97-111 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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.
DOI : 10.4064/cm98-1-8
Keywords: establish existence solutions intrinsically nonlinear differential integral equation arises mathematical modelling evolution asexual population changing environment main objective pave rigorous analysis linear stability travelling wave solutions corresponding problem

P. Rybka 1 ; Q. Tang 2 ; D. Waxman 3

1 Institute of Applied Mathematics and Mechanics Warsaw University Banacha 2 02-097 Warszawa, Poland
2 SMS, Pevensey I University of Sussex Brighton BN1 9QH, United Kingdom
3 School of Biological Sciences University of Sussex Falmer, Brighton BN1 9QG, United Kingdom 
@article{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 Mathematicum},
     pages = {97--111},
     year = {2003},
     volume = {98},
     number = {1},
     doi = {10.4064/cm98-1-8},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm98-1-8/}
}
TY  - JOUR
AU  - P. Rybka
AU  - Q. Tang
AU  - D. Waxman
TI  - Evolution in a changing environment:
 existence of solutions
JO  - Colloquium Mathematicum
PY  - 2003
SP  - 97
EP  - 111
VL  - 98
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm98-1-8/
DO  - 10.4064/cm98-1-8
LA  - en
ID  - 10_4064_cm98_1_8
ER  - 
%0 Journal Article
%A P. Rybka
%A Q. Tang
%A D. Waxman
%T Evolution in a changing environment:
 existence of solutions
%J Colloquium Mathematicum
%D 2003
%P 97-111
%V 98
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/cm98-1-8/
%R 10.4064/cm98-1-8
%G en
%F 10_4064_cm98_1_8
P. Rybka; Q. Tang; D. Waxman. Evolution in a changing environment:
 existence of solutions. Colloquium Mathematicum, Tome 98 (2003) no. 1, pp. 97-111. doi: 10.4064/cm98-1-8

Cité par Sources :