On the Calculation of $$R_0$$ R 0 Using Submodels

Abstract

A set of epidemiological models and their basic reproductive numbers are presented. For some models, the expression of the basic reproductive number can be very complex to determine. In this work, we present some techniques to find the expressions of these basic reproductive numbers starting from submodels of the original one. Some particular models with their respective R 0 , which can be applied to the study of some important diseases, are also presented.

Sex, Mosquitoes and Epidemics: An Evaluation of Zika Disease Dynamics

“…Dynamics of spread of Zika is complex and the structure of its basic reproductive number is also complex. The next-generation matrix method and decomposition into subsystems used by Olmos et al (2015) were used for calculation. Thus, the basic reproductive number is given by: …”