436 research outputs found
Time-scale analysis non-local diffusion systems, applied to disease models
The objective of the present paper is to use the well known Ross-Macdonald
models as a prototype, incorporating spatial movements, identifying different
times scales and proving a singular perturbation result using a system of local
and non-local diffusion. This results can be applied to the prototype model,
where the vector has a fast dynamics, local in space, and the host has a slow
dynamics, non-local in space
Selected topics on reaction-diffusion-advection models from spatial ecology
We discuss the effects of movement and spatial heterogeneity on population
dynamics via reaction-diffusion-advection models, focusing on the persistence,
competition, and evolution of organisms in spatially heterogeneous
environments. Topics include Lokta-Volterra competition models, river models,
evolution of biased movement, phytoplankton growth, and spatial spread of
epidemic disease. Open problems and conjectures are presented
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