Existence and nonexistence of monotone traveling waves for the delayed Fisher equation

Bocharov, 2000, Structured population models, conservation laws, and delay equations, J. Differential Equations, 168, 212, 10.1006/jdeq.2000.3885 Faria, 2006, Travelling waves for delayed reaction–diffusion equations with global response, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 462, 229, 10.1098/rspa.2005.1554 Fisher, 1937, The wave of advance of advantageous genes, Ann. of Eugenics, 7, 335, 10.1111/j.1469-1809.1937.tb02153.x Gurney, 1980, Nicholson's blowflies revisited, Nature, 287, 17, 10.1038/287017a0 Gourley, 2000, Travelling front solutions of a nonlocal Fisher equation, J. Math. Biol., 41, 272, 10.1007/s002850000047 Hadeler, 2008, Neutral delay equations from and for population dynamics, vol. 8 Hadeler, 2003, Where to put delays in population models, in particular in the neutral case, Can. Appl. Math. Q., 11, 159 Hutchinson, 1948, Circular causal systems in ecology, Ann. New York Acad. Sci., 50, 221, 10.1111/j.1749-6632.1948.tb39854.x Kolmogoroff, 1937, Etude de l'equation de la diffusion avec croissance de la quantitite de matiere et son application a un probleme biologique, Bull. Univ. Moscou Ser. Internationale Sec. A, 1, 1 Liang, 2007, Asymptotic speeds of spread and traveling waves for monotone semiflows with applications, Comm. Pure Appl. Math., 60, 1, 10.1002/cpa.20154 Ou, 2007, Persistence of wavefronts in delayed nonlocal reaction–diffusion equations, J. Differential Equations, 235, 219, 10.1016/j.jde.2006.12.010 Ou, 2007, Traveling wavefronts in a delayed food-limited population model, SIAM J. Math. Anal., 39, 103, 10.1137/050638011 Schaaf, 1987, Asymptotic behavior and traveling wave solutions for parabolic functional-differential equations, Trans. Amer. Math. Soc., 302, 587 So, 2001, A reaction–diffusion model for a single species with age structure: (I) Traveling wavefronts on unbounded domains, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 457, 1841, 10.1098/rspa.2001.0789 Wang, 2006, Travelling wave fronts in reaction–diffusion systems with spatio-temporal delays, J. Differential Equations, 222, 185, 10.1016/j.jde.2005.08.010 Wu, 2001, Traveling wave fronts of reaction–diffusion systems with delay, J. Dynam. Differential Equations, 13, 651, 10.1023/A:1016690424892