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Filtering by: Committee Member Gibson, Nathan L. Date 2011 Subject Aphids as carriers of disease -- Mathematical models

Non-spatial and spatial models for multi-host pathogen spread in competing species : applications to barley yellow dwarf virus and rinderpest

Creator:

Manore, Carrie Anna

Abstract:

Modeling and analyzing the combined effects of disease and population dynamics is important in understanding the effects of mechanisms such as pathogen transmission and direct competition between host species on the distribution and abundance of different species in an ecological community. Mathematical analysis of such models in a spatially explicit...

Resource Type:

Dissertation

Full Text:

species. Consider the reaction-diffusion model ut = f(u) + ηuxx, x ∈ [0, L] (2.4.1) where η is the