Geodesic
Evolution in a changing environment: existence of solutions
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
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

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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 
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 existence of solutions},
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 existence of solutions
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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

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