Circular stochastic fluctuations in SIS epidemics with heterogeneous contacts among sub-populations.
Theor Popul Biol
; 81(3): 223-31, 2012 May.
Article
em En
| MEDLINE
| ID: mdl-22273833
ABSTRACT
The conceptual difference between equilibrium and non-equilibrium steady state (NESS) is well established in physics and chemistry. This distinction, however, is not widely appreciated in dynamical descriptions of biological populations in terms of differential equations in which fixed point, steady state, and equilibrium are all synonymous. We study NESS in a stochastic SIS (susceptible-infectious-susceptible) system with heterogeneous individuals in their contact behavior represented in terms of subgroups. In the infinite population limit, the stochastic dynamics yields a system of deterministic evolution equations for population densities; and for very large but finite systems a diffusion process is obtained. We report the emergence of a circular dynamics in the diffusion process, with an intrinsic frequency, near the endemic steady state. The endemic steady state is represented by a stable node in the deterministic dynamics. As a NESS phenomenon, the circular motion is caused by the intrinsic heterogeneity within the subgroups, leading to a broken symmetry and time irreversibility.
Texto completo:
1
Coleções:
01-internacional
Base de dados:
MEDLINE
Assunto principal:
Estudos Epidemiológicos
/
Processos Estocásticos
Tipo de estudo:
Observational_studies
Idioma:
En
Revista:
Theor Popul Biol
Ano de publicação:
2012
Tipo de documento:
Article