Anthropogenically modified systems tend to have homogenous wildlife communities. While this process is well documented, the mechanisms driving convergence of species in human-modified are unclear. There at least two compelling ecological explanations for loss specialized these settings; changes distribution and quality resources (i.e. environmental conditions) competitive interactions. Without ...

We study SIR and SIS epidemic models with multiple pathogen strains. In our models we assume total cross immunity, standard incidence, and density-dependent host mortality. We derive conditions on the models parameters which guarantee competitive exclusion between the n strains. An example is given to show that if these conditions are not satisfied then coexistence between the strains is possib...