TY - JOUR
T1 - Superinfection behaviors on scale-free networks with competing strains
AU - Wu, Q.
AU - Small, Michael
AU - Liu, H.
PY - 2013
Y1 - 2013
N2 - This paper considers the epidemiology of two strains (I, J ) of a disease spreading through a population represented by a scale-free network. The epidemiological model is SIS and the two strains have different reproductive numbers. Superinfection means that strain I can infect individuals already infected with strain J, replacing the strain J infection. Individuals infected with strain I cannot be infected with strain J . The model is set up as a system of ordering differential equations and stability of the disease free, marginal strain I and strain J, and coexistence equilibria are assessed using linear stability analysis, supported by simulations. The main conclusion is that superinfection, as modeled in this paper, can allow strain I to coexist with strain J even when it has a lower basic reproductive number. Most strikingly, it can allow strain I to persist even when its reproductive number is less than 1. © Springer Science+Business Media, LLC 2012.
AB - This paper considers the epidemiology of two strains (I, J ) of a disease spreading through a population represented by a scale-free network. The epidemiological model is SIS and the two strains have different reproductive numbers. Superinfection means that strain I can infect individuals already infected with strain J, replacing the strain J infection. Individuals infected with strain I cannot be infected with strain J . The model is set up as a system of ordering differential equations and stability of the disease free, marginal strain I and strain J, and coexistence equilibria are assessed using linear stability analysis, supported by simulations. The main conclusion is that superinfection, as modeled in this paper, can allow strain I to coexist with strain J even when it has a lower basic reproductive number. Most strikingly, it can allow strain I to persist even when its reproductive number is less than 1. © Springer Science+Business Media, LLC 2012.
U2 - 10.1007/s00332-012-9146-1
DO - 10.1007/s00332-012-9146-1
M3 - Article
SN - 0938-8974
VL - 23
SP - 113
EP - 127
JO - Journal of Nonlinear Science
JF - Journal of Nonlinear Science
IS - 1
ER -