Permanence of delay competitive systems with weak Allee effects

Gopalsamy, 1992, Stability and oscillations in delay differential equations of population dynamics Kuang, 1993, Delay differential equations with applications in population dynamics Allee, 1949 Courchamp, 1999, Inverse density dependence and the Allee effect, Trends Ecol. Evol., 14, 405, 10.1016/S0169-5347(99)01683-3 Stephens, 1999, Consequences of the Allee effect for behaviour, ecology and conservation, Trends Ecol. Evol., 14, 401, 10.1016/S0169-5347(99)01684-5 Courchamp, 2008 Boukal, 2002, Single-species models of the allee effect: extinction boundaries, sex ratios and mate encounters, J. Theoret. Biol., 218, 375, 10.1006/jtbi.2002.3084 Berec, 2007, Multiple allee effects and population management, Trends Ecol. Evol., 22, 185, 10.1016/j.tree.2006.12.002 Wang, 1999, The competitive dynamics of populations subject to an Allee effect, Ecol. Model., 124, 183, 10.1016/S0304-3800(99)00160-X Ferdy, 2002, Allee effect, spatial structure and species coexistence, J. Theoret. Biol., 217, 413, 10.1006/jtbi.2002.3051 Lee, 2006, Bifurcation diagrams of population models with nonlinear, diffusion, J. Comput. Appl. Math., 194, 357, 10.1016/j.cam.2005.08.004 Shi, 2006, Persistence in reaction diffusion models with weak Allee effect, J. Math. Biol., 52, 807, 10.1007/s00285-006-0373-7 Wang, 2001, Speeds of invasion in a model with strong or weak Allee effects, Math. Biosci., 171, 83, 10.1016/S0025-5564(01)00048-7 Egami, 2009, Positive periodic solutions of nonautonomous delay competitive systems with weak Allee effect, Nonlinear Anal. RWA, 10, 494, 10.1016/j.nonrwa.2007.10.010 Gaines, 1977, Coincidence degree, and nonlinear differential equations, vol. 568 Lloyd, 1978, vol. 73 Krawcewicz, 1997, Theory of degrees with applications to bifurcations and differential equations Popov, 1973 Jacobs, 1984, Cooperation, optimal density and low density thresholds: yet another modification of the logistic model, Oecologia, 64, 389, 10.1007/BF00379138