Multiscale analysis of compartment models with dispersal

The characterization of the population dynamics of animal populations and dispersal provides the underlying setting of this article. Novel results emerge from our exploration of the role of disease in this context. We focus on the study of the impact of dispersal on the dynamics of populations that account for (a) induced Allee effects; (b) disease dynamics; and (c) spatial heterogeneity, using deterministic and stochastic models. Specifically, the models incorporate disease-driven effects on the individuals' competitive ability to acquire resources as well as on their ability to move or reproduce. The results bring to the forefront the role of initial conditions and patch quality as well as 'topological' structure or connectivity landscape structure (the physical space where individuals move, reproduce, get sick, die, or compete for resources). The emphasis is placed on the dynamics of populations when disease is an important selective force. This article surveys the appropriate literature while including original research.