Gourley, S. A.; Chaplain, M. A. J. Travelling fronts in a food-limited population model with time delay. (English) Zbl 1006.35051 Proc. R. Soc. Edinb., Sect. A, Math. 132, No. 1, 75-89 (2002). This paper concerns the travelling front solutions of a certain food-limited population model incorporating time-delays and diffusion. For a particular class of delay kernels, exsistence of travelling front solutions connecting two spatially uniform steady states is established for sufficiently small delays. Reviewer: Sebastian Aniţa (Iaşi) Cited in 31 Documents MSC: 35K57 Reaction-diffusion equations 92D25 Population dynamics (general) 35R10 Partial functional-differential equations Keywords:time-delays; front solutions connecting two spatially uniform steady states PDF BibTeX XML Cite \textit{S. A. Gourley} and \textit{M. A. J. Chaplain}, Proc. R. Soc. Edinb., Sect. A, Math. 132, No. 1, 75--89 (2002; Zbl 1006.35051) Full Text: DOI OpenURL