On the Qualitative Behaviour of SIR Epidemics with Generalized Infection Rate Functions
Journal article, 2010

We consider an SIR stochastic epidemic model in which new infection occurs at rate f(n)(x,y), where x and y are respectively the number of susceptibles and infectives at time of infection and f(n) is a positive sequence of real functions. Threshold theorems analogous to those of Whittle and Williams are fairly proved for this model. Also we examine the shape of the total size distribution for various values of removal rate and suitable values of other important parameters.

aids

population

total

threshold theorems

spread

generalized infection rate

size

stochastic epidemic

hiv

Epidemic model

size

models

Author

H. El Maroufy

Ziad Taib

Chalmers, Mathematical Sciences, Mathematical Statistics

University of Gothenburg

Applied Mathematics and Information Sciences

1935-0090 (ISSN)

Vol. 4 3 353-363

Subject Categories

Probability Theory and Statistics

More information

Created

10/6/2017