Outbreak statistics and scaling laws for externally driven epidemics

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 89, Issue 4, 2014, Pages

  Singh, Sarabjeet ^a   Myers, Christopher R ^b  

^a School of Operations Research and Industrial Engineering   (United States)

^b Laboratory of Atomic and Solid State Physics and Sibley School of Mechanical and Aerospace Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EPIDEMIOLOGY;

CONTINUOUS PHASE TRANSITIONS; EPIDEMIC THRESHOLD; EXTERNAL DRIVING; EXTERNAL FORCING; FINITE SIZE SCALING; MULTICRITICAL POINT; PHYSICAL PHENOMENA; SCALING BEHAVIOR;

SCALING LAWS;

COMMUNICABLE DISEASES; COMPUTER SIMULATION; EPIDEMIC; HUMAN; PREVALENCE; PROCEDURES; RISK ASSESSMENT; RISK FACTOR; STATISTICAL MODEL; STATISTICS AND NUMERICAL DATA;

COMMUNICABLE DISEASES; COMPUTER SIMULATION; DISEASE OUTBREAKS; HUMANS; MODELS, STATISTICAL; PREVALENCE; RISK ASSESSMENT; RISK FACTORS;

EID: 84899746298     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.89.042108     Document Type: Article

References (17)

1. H. Andersson and T. Britton, Stochastic Epidemic Models and Their Statistical Analysis, Vol. 4 (Springer, New York, 2000).
2. E. Ben-Naim and P. Krapivsky, Eur. Phys. J. B 85, 1 (2012). EPJBFY 1434-6028 10.1140/epjb/e2012-30117-0
3. J. P. Sethna, Statistical Mechanics: Entropy, Order Parameters, and Complexity (Oxford University Press, Oxford, 2006).
4. F. Brauer, P. Van den Driessche, J. Wu, and L. Allen, Mathematical Epidemiology (Springer, Berlin, 2008).
5. T. Antal and P. Krapivsky, J. Stat. Mech.: Theor. Exp. (2012) P07018. 1742-5468 10.1088/1742-5468/2012/07/P07018
6. J. Lloyd-Smith, D. George, K. Pepin, V. Pitzer, J. Pulliam, A. Dobson, P. Hudson, and B. Grenfell, Science 326, 1362 (2009). SCIEAS 0036-8075 10.1126/science.1177345
7. P. Rohani, R. Breban, D. E. Stallknecht, and J. M. Drake, Proc. Natl. Acad. Sci. USA 106, 10365 (2009). PNASA6 0027-8424 10.1073/pnas.0809026106
8. S. Singh, D. J. Schneider, and C. R. Myers, Phys. Rev. E 89, 032702 (2014). 10.1103/PhysRevE.89.032702
9. A. M. Zubkov, Theory Probab. Appl. 17, 174 (1972). TPRBAU 0040-585X 10.1137/1117018
10. N. Bailey, The Elements of Stochastic Processes with Applications to the Natural Sciences (Wiley-Interscience, New York, 1990).
11. S. Ong, Metrika 43, 221 (1996). 0026-1335 10.1007/BF02613910
12. D. G. Kendall, Ann. Math. Stat. 24, 338 (1953).
13. D. Shanbhag, J. Appl. Probab. 3, 274 (1966). JPRBAM 0021-9002 10.2307/3212053
14. J. Virtamo, Lecture Notes, Helsinki University of Technology (2005).
15. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in FORTRAN 77: Volume 1 of Fortran Numerical Recipes: The Art of Scientific Computing (Cambridge University Press, Cambridge, 1992).
16. P. Flajolet and R. Sedgewick, Analytic Combinatorics (Cambridge University Press, Cambridge, 2009).
17. K. Christensen and N. R. Moloney, Complexity and Criticality, Vol. 1 (Imperial College Press, London, 2005).