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...

Metapopulation dynamics are jointly regulated by local and spatial factors. These factors may affect the dynamics of local populations and of the entire metapopulation differently. Previous studies have shown that dispersal can stabilize local populations; however, as dispersal also tends to increase spatial synchrony, its net effect on metapopulation stability has been controversial. Here we p...

In this paper we propose an endogenous growth model of commodity-rich economies in which: (i) long-run (steady-state) growth is endogenous and yet independent of commodity prices; (ii) commodity prices affect short-run growth through transitional dynamics; and (iii) the status of net commodity importer/exporter is endogenous. We argue that these predictions are consistent with historical eviden...

By the use of Perron-Frobenius theory, simple proofs are given of the Fundamental Theorem of Demography and of a theorem of Cushing and Yicang on the net reproductive rate occurring in matrix models of population dynamics. The latter result, which is closely related to the Stein-Rosenberg theorem in numerical linear algebra, is further refined with some additional nonnegative matrix theory. Whe...