A two-stage model for the SIR outbreak: Accounting for the discrete and stochastic nature of the epidemic at the initial contamination stage

Mathematical Biosciences

Volumn 234, Issue 2, 2011, Pages 108-117

  Sazonov, Igor ^a   Kelbert, Mark ^a   Gravenor, Michael B ^a  

^a SWANSEA UNIVERSITY   (United Kingdom)

Author keywords

Epidemic modeling; Markov chain; Population dynamics

Indexed keywords

ASYMPTOTIC EXPANSION; DETERMINISTIC DYNAMICAL SYSTEMS; EPIDEMIC MODELING; INFECTIOUS DISEASE; INITIAL CONDITIONS; MARKOV CHAIN; RANDOM INITIAL CONDITIONS; STANDARD DEVIATION; STATISTICAL CHARACTERISTICS; STOCHASTIC NATURE; TWO STAGE; TWO STAGE MODEL;

ASYMPTOTIC ANALYSIS; CONTAMINATION; DYNAMICAL SYSTEMS; EPIDEMIOLOGY; MARKOV PROCESSES; POPULATION DYNAMICS; POPULATION STATISTICS; PROBABILITY DENSITY FUNCTION; STOCHASTIC SYSTEMS;

STOCHASTIC MODELS;

EPIDEMIC; INFECTIOUS DISEASE; MARKOV CHAIN; NUMERICAL MODEL; POPULATION DYNAMICS; PROBABILITY DENSITY FUNCTION; STOCHASTICITY;

ARTICLE; DENSITY FUNCTIONAL THEORY; DISEASE COURSE; EPIDEMIC; INFECTION; KOLMOGOROV SMIRNOV TEST; MATHEMATICAL COMPUTING; NORMAL DISTRIBUTION; POPULATION DYNAMICS; PROBABILITY; STOCHASTIC MODEL;

COMMUNICABLE DISEASES; COMPUTER SIMULATION; DISEASE OUTBREAKS; HUMANS; MODELS, BIOLOGICAL; MODELS, STATISTICAL; STOCHASTIC PROCESSES;

EID: 82255192441     PISSN: 00255564     EISSN: 18793134     Source Type: Journal    
DOI: 10.1016/j.mbs.2011.09.002     Document Type: Article

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