•  47
    Dynamics of Epidemiological Models
    with Maíra Aguiar, José Martins, and Nico Stollenwerk
    Acta Biotheoretica 58 (4): 381-389. 2010.
    We study the SIS and SIRI epidemic models discussing different approaches to compute the thresholds that determine the appearance of an epidemic disease. The stochastic SIS model is a well known mathematical model, studied in several contexts. Here, we present recursively derivations of the dynamic equations for all the moments and we derive the stationary states of the state variables using the moment closure method. We observe that the steady states give a good approximation of the quasi-stati…Read more