Highly Influenced

@article{Hess1990ConvergenceTS, title={Convergence to spatial-temporal clines in the Fisher equation with time-periodic fitnesses.}, author={Peter Otto Hess and Hans Weinberger}, journal={Journal of mathematical biology}, year={1990}, volume={28 1}, pages={83-98} }

- Published 1990 in Journal of mathematical biology

The asymptotic behavior as t----infinity of the solutions with values in the interval (0, 1) of a reaction-diffusion equation of the form (Formula: see text) is studied. Conditions on m which are satisfied when m is nonincreasing in mu and which imply that every solution converges to some periodic limit function are found. Except in some very special and well-defined circumstances, the limit is the same for all solutions, so that it is a global attractor. This global attractor may be one of the… CONTINUE READING