An Integral Equation Describing an Asexual Population in a Changing Environment

Q. Tang* and D. Waxman**

Nonlinear Analysis: Theory, Methods & Applications; To be published

*SMS, Pevensey I, University of Sussex, Brighton BN1 9QH, United Kingdom
**School of Biological Sciences, University of Sussex, Falmer, Brighton BN1 9QG, United Kingdom.

In this paper, we establish the existence of a travelling wave solution to an intrinsically nonlinear differential-integral equation arising from the mathematical modelling of an asexual reproduction process. The techniques used are fixed point theorems and asymptotic analysis. The proofs, although abstract, give a hint on how to obtain the solutions numerically.