Many populations occupy spatially fragmented landscapes. How dispersal affects the
asymptotic total population size is a key question for conservation management and the …

Ecological corridors are an effective tool for mitigating the fragmentation of habitats and
populations. Due to limited space in highly urbanized areas, identifying the suitable width of …

For the two-patch logistic model, we study the effect of dispersal intensity and dispersal
asymmetry on the total population abundance and its distribution. Two complete …

This paper analyzes source–sink systems with asymmetric dispersal between two patches.
Complete analysis on the models demonstrates a mechanism by which the dispersal …

We present a discrete-time model of a spatially structured population and explore the effects
of coupling when the local dynamics contain a strong Allee effect and overcompensation …

This paper analyzes the effects of diffusion on the overall population size of the different
species of a metacommunity. Depending on precise thresholds, we determine whether …

This paper considers predator–prey systems in which the predator moves between two
patches. One patch is a source, where the predator and prey can persist, while the other is a …

Migration influences population dynamics on networks, thereby playing a vital role in
scenarios ranging from species extinction to epidemic propagation. While low migration …

This paper considers two-species competitive systems with two patches, in which one of the
species can move between the patches. One patch is a source where each species can …

In this paper we deduce criteria of global attraction in systems of delay differential equations.
Our methodology is new and consists in “dominating” the nonlinear terms of the system by a …