An Immuno-epidemiological Model of Paratuberculosis

M. Martcheva, Michail D. Todorov, Christo I. Christov
The primary objective of this article is to introduce an immuno-epidemiological model of paratuberculosis (Johne's disease). To develop the immuno-epidemiological model, we first develop an immunological model and an epidemiological model. Then, we link the two models through time-since-infection structure and parameters of the epidemiological model. We use the nested approach to compose the immuno-epidemiological model. Our immunological model captures the switch between the T-cell immune
more » ... nse and the antibody response in Johne's disease. The epidemiological model is a time-sinceinfection model and captures the variability of transmission rate and the vertical transmission of the disease. We compute the immune-response-dependent epidemiological reproduction number. Our immuno-epidemiological model can be used for investigation of the impact of the immune response on the epidemiology of Johne's disease.
doi:10.1063/1.3659918 fatcat:cmqx6suzdfhffdfy2qz3fsjeve