Speaker
Description
The basic reproduction number is a standard tool in disease modelling for determining the conditions under which a disease free equilibrium goes unstable and produces an epidemic. One popular procedure for determining this is the next generation matrix method. When this method is applied to models with pair formation, it is able to determine the stability threshold for the disease free equilibrium, but does not accurately compute the basic reproduction number. In this talk we show how to reconcile this by adapting the method to pair formation models. We extend this to the case where there are multiple diseases to consider via co-infection. We demonstrate that our modified next generation method recovers the basic reproduction number in a mathematical model of coinfection with mpox and HIV.
