Open AccessAn SIRS model with differential susceptibility and infectivity on uncorrelated networks
Author(s) -
Maoxing Liu,
Yuming Chen
Publication year - 2015
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2015.12.415
Subject(s) - uncorrelated , infectivity , bounded function , immunization , mathematics , bifurcation , stability (learning theory) , cutoff , statistical physics , computer science , mathematical analysis , physics , virology , statistics , biology , immunology , nonlinear system , virus , antigen , quantum mechanics , machine learning
We propose and study a model for sexually transmitted infections on uncorrelated networks, where both differential susceptibility and infectivity are considered. We first establish the spreading threshold, which exists even in the infinite networks. Moreover, it is possible to have backward bifurcation. Then for bounded hard-cutoff networks, the stability of the disease-free equilibrium and the permanence of infection are analyzed. Finally, the effects of two immunization strategies are compared. It turns out that, generally, the targeted immunization is better than the proportional immunization.