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Vulnerability Discovery Models for a Software System Using Stochastic Differential Equations

Romuald Hoffmann
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Romuald Hoffmann: Wojskowa Akademia Techniczna w Warszawie

Collegium of Economic Analysis Annals, 2017, issue 45, 177-188

Abstract: Vulnerability discovery models (VDMs) illustrate changes in the vulnerability detection processes of software during system lifecycles. So far very few VDMs based on stochastic differential equations have been proposed. In this paper, there were presented two vulnerability discovery models based on Itô-type stochastic differential equations. The first was the Alhazmi-Malaiya Logistic Model based on the stochastic differential equation proposed by Shrivastava, Sharma and Kapur in 2015. The second one, proposed in this paper, was a modified Rescorla Exponential Model using the Itô stochastic differential equation. The proposed modified Rescorla model was obtained by using the stochastic differential equation approach to the Goel-Okumoto software reliability model.

Keywords: Itô-type stochastic differential equation; stochastic differential equation; SDE; Vulnerability Discovery Models; VDM; Alhazmi-Malaiya Logistic Model; AML; Rescorla Exponential Model; RE; vulnerability discovery process in software systems (search for similar items in EconPapers)
Date: 2017
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Handle: RePEc:sgh:annals:i:45:y:2017:p:177-188