A stochastic model of AIDS and condom use |
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Authors: | Nirav Dalal Xuerong Mao |
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Institution: | Department of Statistics and Modelling Science, University of Strathclyde, Glasgow G1 1XH, UK |
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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. |
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Keywords: | HIV AIDS Condom use Brownian motion Stochastic differential equation Itô 's formula Asymptotic stability |
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