Second Quantization Approach to Stochastic Epidemic Models
Biological Physics
2016-03-08 v1 Populations and Evolution
Abstract
We show how the standard field theoretical language based on creation and annihilation operators may be used for a straightforward derivation of closed master equations describing the population dynamics of multivariate stochastic epidemic models. In order to do that, we introduce an SIR-inspired stochastic model for hepatitis C virus epidemic, from which we obtain the time evolution of the mean number of susceptible, infected, recovered and chronically infected individuals in a population whose total size is allowed to change.
Cite
@article{arxiv.1509.03689,
title = {Second Quantization Approach to Stochastic Epidemic Models},
author = {Leonardo Mondaini},
journal= {arXiv preprint arXiv:1509.03689},
year = {2016}
}
Comments
To appear in Biomedical Sciences Today, 6 pages