The hypercycle, traveling waves, and Wright's equation
- 1 December 1986
- journal article
- Published by Springer Nature in Journal of Mathematical Biology
- Vol. 24 (5) , 473-477
- https://doi.org/10.1007/bf00275680
Abstract
A formal relation between the hypercycle equation and the delay differential equation of E. M. Wright is exhibited using a traveling waves approach. Several unsolved questions in either problem can be related and interpreted, in particular new motivation for the study of Wright's equation is obtained.Keywords
This publication has 10 references indexed in Scilit:
- Global continuation and complicated trajectories for periodic solutions of a differential-delay equationProceedings of Symposia in Pure Mathematics, 1986
- A Difference Equation Model for the HypercycleSIAM Journal on Applied Mathematics, 1984
- The HypercyclePublished by Springer Nature ,1979
- Some periodicity criteria for functional differential equationsmanuscripta mathematica, 1978
- Integral averaging and bifurcationJournal of Differential Equations, 1977
- Periodic solutions of difference-differential equationsArchive for Rational Mechanics and Analysis, 1977
- Existence of a non-constant periodic solution of a non-linear autonomous functional differential equation representing the growth of a single species populationJournal of Mathematical Biology, 1975
- A global bifurcation theorem with applications to functional differential equationsJournal of Functional Analysis, 1975
- Travelling fronts in nonlinear diffusion equationsJournal of Mathematical Biology, 1975
- A non-linear difference-differential equation.Journal für die reine und angewandte Mathematik (Crelles Journal), 1955