Controlling Plague Among Prairie Dogs: A Two Colony Epidemiological Model

摘要

In this work we model the spread of sylvatic plague between two prairie dog colonies. The mathematical model is one where a population of fleas transmits the plague to the host population of prairie dogs. Distance between the two colonies is examined as well as using insecticide to increase the death rates on the fleas that spread the disease between prairie dogs. Semi-analytical solutions for equilibria are derived using a perturbation series approach.