WKB theory of epidemic fade-out in stochastic populations

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

Volumn 80, Issue 4, 2009, Pages

  Meerson, Baruch ^a   Sasorov, Pavel V ^b  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

^b INSTITUTE FOR THEORETICAL AND EXPERIMENTAL PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

INFECTIOUS DISEASE; PHASE SPACES; STOCHASTIC EFFECTS; STOCHASTIC POPULATION; WKB METHOD; WKB THEORY;

PHASE SPACE METHODS; STOCHASTIC SYSTEMS;

EPIDEMIOLOGY;

EID: 70449096323     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.041130     Document Type: Article

References (13)

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3. R. M. Anderson and R. M. May, Infectious Diseases of Humans: Dynamics and Control (Oxford University Press, Oxford, 1991).
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5. The closely related SIR model (where R stands for recovered) can be reduced to the SI model; see, e.g., Ref.
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9. C. W. Gardiner, Handbook of Stochastic Methods (Springer, Berlin, 2004).
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13. Hamiltonian is equivalent, up to a canonical transformation, to the Hamiltonian obtained in Ref. where (a different variant of) WKB approximation was used for a study of endemic fade-out.