We study a general predator–prey system in a spatially heterogeneous environment. The predation process, which occurs on a behavioural time-scale, is much faster than the other processes (reproduction, natural mortality and migrations) occurring on the population dynamics time-scale. We show that, taking account of this difference in time-scales, and assuming that the prey have a refuge, the dy...

In this work, we analyzed the impact of interventions on populations which exhibit unimodal dynamics. The six landmarks that characterize the “shape” of the unimodal reproduction curve   f x of the difference equation,   1 n n X f X   , are defined and used in order to examine and determine the behavior of dynamics of populations. By using the Li-Yorke criterion for determination of chaos...

Dispersal is a context-dependent adaptive trait. Different dispersal strategies arise as species need to optimize their fitness in the ever changing quality of habitats further imposed by abiotic and biotic factors. This work reviews the spread of populations under different dispersal strategies. Namely, we address the spread of a population when dispersal is driven by habitat fragmentations, d...

Computer simulations show that the extinction of megafauna is not correlated with the growth of human population. The population of megafauna remains constant during the nearly entire time of the rapid growth of human population. Model-generated growth of human population is also in direct conflict with the empirical evidence about the human population dynamics. Computer simulations do not supp...

A theorem on estimates of solutions of impulsive parabolic equations by means of solutions of impulsive ordinary differential equations is proved. An application to the population dynamics is given.

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 attractio...