Software Reliability Modeled on Contagion

Barraza, Néstor Rubén

doi:10.1109/issrew.2016.22

Cited by 6 publications

(2 citation statements)

References 2 publications

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“…It should be remarked that our proposed rate ( Eq. (8) ) is different from that of the Polya-Lundberg process:

(see for example [1] ), which leads to a mean value function that depends linearly on time when replaced in Eq. (5) , as demonstrated in Appendix B .…”

Section: The Proposed Modelmentioning

confidence: 98%

“…The probability of getting a ball of that color in the next drawing is thus increased, modeling a contagious process. Contagion modeling has been already applied in many areas of engineering, see for example [1] , [2] , [3] . The Polya stochastic process is obtained as the limit from the Polya urn model in a similar way as the Poisson process is obtained from a Bernoulli process.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A non-homogeneous Markov early epidemic growth dynamics model. Application to the SARS-CoV-2 pandemic

Barraza

Pena

Moreno

2020

Chaos, Solitons & Fractals

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Highlights We present a mathematical model based on a new stochastic process described by a Pure Birth process. The proposed model matches the subexponential growth on the early stage of an epidemic. The mathematical expression of the cumulative case incidence and cumulative death curves is obtained, with a quite accurate fit in both cases. The model contains two parameters, the immunization and infection rates. The behavior in time of those parameters allows to assess the evolution of the outbreak. We obtain a new indicator, the mean time between infections. This indicator allows not only to monitor the epidemic growth but also to predict the peak of cases.

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“…It should be remarked that our proposed rate ( Eq. (8) ) is different from that of the Polya-Lundberg process:

(see for example [1] ), which leads to a mean value function that depends linearly on time when replaced in Eq. (5) , as demonstrated in Appendix B .…”

Section: The Proposed Modelmentioning

confidence: 98%