New approach to dynamical Monte Carlo methods: Application to an epidemic model

Physica A: Statistical Mechanics and its Applications

Volumn 327, Issue 3-4, 2003, Pages 525-534

  Aiello, O E ^a   Da Silva, M A A ^a  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

Dynamical Monte Carlo; Epidemic; Markovian process; SIRS model

Indexed keywords

COMPUTER SIMULATION; MARKOV PROCESSES; MONTE CARLO METHODS; POISSON DISTRIBUTION; RUNGE KUTTA METHODS;

MESOSCOPIC SCALES;

EPIDEMIOLOGY;

EID: 0141569643     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(03)00504-1     Document Type: Article

References (18)

1. Binder K. Monte Carlo Method in Statistical Physics. 1986;Springer, Berlin.
2. Caliri A., da Silva M.A.A., Mokross B.J. J. Chem. Phys. 91:1989;6328.
3. Bouzida D., Kumar S., Swendsen R.H. Phys. Rev. A 45:1992;8894.
4. Cieplak M., Henkel M., Karbowski J., Banavar J.R. Phys. Rev. Lett. 80:1998;3654.
5. Binder K. Rep. Prog. Phys. 60:1997;487.
6. Alexander F.J., Garcia A.L., Alder B.J. Brey J.J.et al. 25 Years of Non-Equilibrium Statistical Mechanics. 1994;Springer, Barcelona, Spain.
7. Prados A., Brey J.J., Sánchez-Rey B. J. Stat. Phys. 89:1997;709.
8. Gillespie D.T. J. Comput. Phys. 22:1976;403.
9. Fichtorn K.A., Weinberg W.H. J. Chem. Phys. 95:1991;1090.
10. Cao Pei-Lin Phys. Rev. Lett. 73:1994;2595.
11. Aiello O.E., Haas V.J., Caliri A., Silva M.A.A. Physica. A 282:2000;546.
12. Olsen L.F., Truty G.L., Schaffer W.M. Theor. Popul. Biol. 33:1988;344.
13. Johansen A. J. Theor. Biol. 178:1996;45.
14. O.E. Aiello, M.A.A. da Silva, eprint physics/0208089.
15. Hoel P.G., Port S.C., Stone C.J. Introduction to Stochastic Processes. 1987;Waveland Press, Inc. Prospect Heights, IL.
16. L.D. Fosdick, in: B. Alder, S. Fernback, M. Rotenberg (Eds.), Methods in Computer Physics, Vol. 1, Academic Press, New York, 1963, p. 245.
17. Bailey N.T.J. The Mathematical Theory of Infectious Diseases and its Applications. 1975;Charles Griffin & Company LTD, London and High Wycombe.
18. Haas V.J., Caliri A., da Silva M.A.A. J. Biol. Phys. 25:1999;309.