Discrete-time, stage structured model for equine protozoal myeloencephalitis.

摘要

A discrete-time model for Equine Protozoal Myeloencephalitis (EPM) is formulated to track the spread of this neurological disease in equine populations. The protozoan parasite, Sarcocystis Nuerona, can be transmitted through horses from the fecal matter of carnivore. The equine population is subdivided into three developmental stages: youth, young adult, and adult. We assume the young adults are not bred, so reproduction occurs only in the adult stage. Recovery from the disease is possible. Conditions are derived for population extinction and local stability of the disease-free equilibrium. Dynamics of the model are illustrated via numerical simulations.