title: An equation of growth of a single species with realistic dependence on crowding and seasonal factors.
abstract: Various biological phenomena lead to single species models where the relative rate of increase is a non-monotone function of the density, i.e. depensation models. A brief survey of the literature and some new models are given. A nonlinear nonautonomous O.D.E. is proposed as a general depensation model in a periodically fluctuating environment. Results on existence, multiplicity and global stability of periodic solutions are given.
mesh_terms: D000818:Animals; D003441:Crowding; D008433:Mathematics; D008954:Models, Biological; D011156:Population Density; D012621:Seasons