Special Session 4: Delay Equations Applied to Population Dynamics

algebraic-delay differential systems and age structured population dynamics Jianhong Wu York University, Canada [email protected] N. Kosovalic, F.M.G. Magpantay, Y. Chen We present some recent results on the fundamental theory and numerical analysis of algebraic-delay differential systems, and discuss its motivation from and applications to structured population dynamics. On the basins of attraction for a class of delay differential equations with nonmonotone bistable nonlinearities Xingfu Zou University of Western Ontario, Canada [email protected] Consider delay differential equation x′(t) = −g(x(t)) + f(x(t − r)) with bistable equilibrium structure: there are three equilibria x0 = 0 < x1 < x2 with x0 and x2 being stable and x1 being stable for the ODE: x′(t) = −g(x(t)) + f(x(t)). I will present some results characterizing subsets of basins of attraction of the equilibria. The results will be applied to a particular model equation describing the matured population of some species demonstrating the Alee effect.