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

Other publications Research

Applied Mathematics and Information Sciences

1935-0090 (ISSN) 2325-0399 (eISSN)

Vol. 4 3 353-363

Subject Categories

Probability Theory and Statistics

More information

Created

10/6/2017

Feedback and support

If you have questions, need help, find a bug or just want to give us feedback you may use this form, or contact us per e-mail research.lib@chalmers.se.

About

Research.chalmers.se contains research information from Chalmers University of Technology, Sweden. It includes information on projects, publications, research funders and collaborations.

More about coverage period and what is publicly available

Privacy and cookies

Accessibility

Citation Style Language
citeproc-js (Frank Bennett)

Links

Chalmers Library
Chalmers Research
Chalmers Student Theses

Chalmers University of Technology

SE-412 96 GOTHENBURG, SWEDEN
PHONE: +46 (0)31-772 10 00
WWW.CHALMERS.SE