On the Qualitative Behaviour of SIR Epidemics with Generalized Infection Rate Functions

• 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.

Subject headings

NATURVETENSKAP  -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Probability Theory and Statistics (hsv//eng)

Keyword

Epidemic model

generalized infection rate

threshold theorems

total

size

stochastic epidemic

models

aids

population

spread

size

hiv

aids

Publication and Content Type

ref (subject category)

art (subject category)