Disease dynamics and mean field models for clustered networks

MARIA RAFO; DI MAURO, JUAN PABLO; APARICIO, JUAN PABLO

JOURNAL OF THEORETICAL BIOLOGY

ACADEMIC PRESS LTD-ELSEVIER SCIENCE LTD

Lugar: Amsterdam; Año: 2021

0022-5193

Social networks are clustered networks with short mean path length. In this work14 we analyze the disease dynamics in a class of this type of small-world networks15 composed of set of households and a set of workplaces. Individuals from each16 household are randomly assigned to workplaces. In both environments we as17sumed complete mixing and therefore we obtain highly clustered networks with18 short mean path lengths. Basic reproduction numbers were computed numeri19cally and we show that at endemic equilibrium the average susceptible proportion< S/N > is different from the inverse of the basic reproduction number (R−10 20 ).Therefore exist an exponent p , 1 for which < S/N >p= R−10 21 . Using this expo22nent we developed a mean field model which closely capture the disease dynamics23 in the network. Finally we outline how this model could be use to model vector24borne diseases in social networks.