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A stochastic model of AIDS and condom use
- Source :
-
Journal of Mathematical Analysis & Applications . Jan2007, Vol. 325 Issue 1, p36-53. 18p. - Publication Year :
- 2007
-
Abstract
- Abstract: In this paper we introduce stochasticity into a model of AIDS and condom use via the technique of parameter perturbation which is standard in stochastic population modelling. We show that the model established in this paper possesses non-negative solutions as desired in any population dynamics. We also carry out a detailed analysis on asymptotic stability both in probability one and in pth moment. Our results reveal that a certain type of stochastic perturbation may help to stabilise the underlying system. [Copyright &y& Elsevier]
- Subjects :
- *AIDS
*CONDOM use
*PREVENTION of sexually transmitted diseases
*MALE contraception
Subjects
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 325
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 22935245
- Full Text :
- https://doi.org/10.1016/j.jmaa.2006.01.055