Gilberto Gonzalez-Parra

Dr. Gilberto Gonzalez-Parra

Mathematics, New Mexico Institute of Mining and Technology, Socorro, New Mexico, USA
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Research Focus & Metrics

Academic Career Length

21Years (2006-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

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29 August 2013 in Mathematical Methods in the Applied Sciences
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Gilberto Gonzalez-ParraGilberto Gonzalez-Parra
Gilberto Gonzalez-Parra
ABRAHAM JOSE ARENAS TAWILABRAHAM JOSE ARENAS TAWIL
ABRAHAM JOSE ARENAS TAWIL
Benito Chen-CharpentierBenito Chen-Charpentier
Benito Chen-Charpentier

1 March 2016 in Mathematics and Computers in Simulation
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Journal Article
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ABRAHAM JOSE ARENAS TAWILABRAHAM JOSE ARENAS TAWIL
ABRAHAM JOSE ARENAS TAWIL
Gilberto Gonzalez-ParraGilberto Gonzalez-Parra
Gilberto Gonzalez-Parra
Benito Chen-CharpentierBenito Chen-Charpentier
Benito Chen-Charpentier

1 October 2010 in Mathematical and Computer Modelling
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Journal Article
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Gilberto Gonzalez-ParraGilberto Gonzalez-Parra
Gilberto Gonzalez-Parra
ABRAHAM JOSE ARENAS TAWILABRAHAM JOSE ARENAS TAWIL
ABRAHAM JOSE ARENAS TAWIL
Benito Chen-CharpentierBenito Chen-Charpentier
Benito Chen-Charpentier

1 June 2010 in Computers & Mathematics with Applications
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ABRAHAM JOSE ARENAS TAWILABRAHAM JOSE ARENAS TAWIL
ABRAHAM JOSE ARENAS TAWIL
Gilberto Gonzalez-ParraGilberto Gonzalez-Parra
Gilberto Gonzalez-Parra
Benito Chen-CharpentierBenito Chen-Charpentier
Benito Chen-Charpentier

8 February 2018 in PLOS ONE
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Gilberto Gonzalez-ParraGilberto Gonzalez-Parra
Gilberto Gonzalez-Parra
FRFilip De Ridder
Filip De Ridder
DHDymphy Huntjens
Dymphy Huntjens
DRDirk Roymans
Dirk Roymans
GIGabriela Ispas
Gabriela Ispas
Hana DobrovolnyHana Dobrovolny
Hana Dobrovolny
Influenza and respiratory syncytial virus (RSV) cause acute infections of the respiratory tract. Since the viruses both cause illnesses with similar symptoms, researchers often try to apply knowledge gleaned from study of one virus to the other virus. This can be an effective and efficient strategy for understanding viral dynamics or developing treatment strategies, but only if we have a full understanding of the similarities and differences between the two viruses. This study used mathematical modeling to quantitatively compare the viral kinetics of in vitro RSV and influenza virus infections. Specifically, we determined the viral kinetics parameters for RSV A2 and three strains of influenza virus, A/WSN/33 (H1N1), A/Puerto Rico/8/1934 (H1N1), and pandemic H1N1 influenza virus. We found that RSV viral titer increases at a slower rate and reaches its peak value later than influenza virus. Our analysis indicated that the slower increase of RSV viral titer is caused by slower spreading of the virus from one cell to another. These results provide estimates of dynamical differences between influenza virus and RSV and help provide insight into the virus-host interactions that cause observed differences in the time courses of the two illnesses in patients.

3 April 2018 in Journal of Interdisciplinary Mathematics
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Journal Article
Closed access
Gilberto Gonzalez-ParraGilberto Gonzalez-Parra
Gilberto Gonzalez-Parra
Benito Chen-CharpentierBenito Chen-Charpentier
Benito Chen-Charpentier
Hristo V KojouharovHristo V Kojouharov
Hristo V Kojouharov
This paper presents a new mathematical model of crime that incorporates certain important relationships and behavioral changes of the individuals under consideration. The main model assumption is that crime can be considered as a social epidemic process. The threshold parameter ℛ0 for the extinction of criminality is computed using the method of the next generation matrix, which allows for insights about what are the best policies to control crime. The analysis shows that when the threshold parameter ℛ0 is less than unity, criminality disappears, while the reverse results in persistence of criminality in the society. In addition, a sensitivity analysis is performed to investigate and understand the importance of specific model parameters in decreasing criminality.