A New Variant of the SEIZ Model to Describe the Spreading of a Rumor

Raul Isea; Karl E. Lonngren

doi:doi:10.11648/j.ijdsa.20170304.12

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A New Variant of the SEIZ Model to Describe the Spreading of a Rumor

Raul Isea, Karl E. Lonngren

Published in International Journal of Data Science and Analysis (Volume 3, Issue 4)

Received: 16 August 2017 Accepted: 9 September 2017 Published: 17 October 2017

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Abstract

We propose a variant of the SEIZ mathematical model originally proposed by Bettencourt et al, where the rumor spreads between two different scenarios Z¹ and Z² which do not share information with each other. This model is studied analytically where we include a new parameter μ for forgetting a rumor. We show results that were obtained using this model for a certain case in Venezuela. Finally, we also provide the numerical code for the numerical integration in order to provide a useful tool for others in their investigations.

Published in	International Journal of Data Science and Analysis (Volume 3, Issue 4)
DOI	10.11648/j.ijdsa.20170304.12
Page(s)	28-33
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2017. Published by Science Publishing Group

Keywords

Rumor, SEIZ, Information, Analytical, Mathematical Model

References

[1]	L. Bettencourt, L. Cintrón-Arias, D. I. Kaiser and C. Castillo-Chávez C, “The power of a good idea: Quantitative modeling of the spread of ideas from epidemiological models”, Physica A, vol. 364, pp. 513-536, 2006.
[2]	R. Isea, “Analysis of an SEIR-SEI four-strain epidemic dengue model with primary and secondary Infections”, Revista Electrónica Conocimiento Libre y Licenciamiento, vol. 6, pp. 3-7, 2014.
[3]	R. Isea, K. E. Lonngren, “A Preliminary Mathematical Model for the Dynamic Transmission of Dengue, Chikungunya and Zika”, American Journal of Modern Physics and Application, vol. 3, pp. 11-15, 2016.
[4]	M. T. S. Point, H. M. Mora, A. Cortés, “The susceptible-infectious model of disease expansion analyzed and neighbor rules”, Computer Science & Information Technology, vol. 7, pp. 1-10, 2017.
[5]	J. D. Velez, R. B. Villeta, R. N. Padua, R. Hao, M. Colina, “A Predictive Model on the Spread of HIV in Cebu City”, Recoletos Multidisciplinary Research Journal, vol. 3, pp. 1-8, 2017.
[6]	R. Isea, K. E. Lonngren, “A Mathematical Model of Cancer under Radiotherapy”, International Journal of Public Health Research, vol.3, pp. 340-344, 2015
[7]	R. Isea, R. Mayo-Garcia, “Mathematical analysis of the spreading of a rumor among different subgroups of spreaders”, Pure and Applied Mathematics Letters vol. 2015, pp. 50-54, 2015.
[8]	R. Isea, “Análisis matemático de la difusión de un rumor entre dos grupos de personas”, Revista Electrónica Conocimiento Libre y Licenciamiento, vol. 8, pp. 85-89, 2015.
[9]	A. P. Mikhailov, A. P. Petrov, O. G. Proncheva, “Modeling the effect of political polarization on the outcome of propaganda battle”, Computational Mathematics and Information Technologies, vol. 1, pp. 65-81, 2017.
[10]	D. Aldila, H. P. Paramartha, H. Tasman, “An analysis of rumor spreading model with contra productive intervention”, International Journal of Pure and Applied Mathematics, vol. 112, pp. 519-530, 2017.

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APA Style

Raul Isea, Karl E. Lonngren. (2017). A New Variant of the SEIZ Model to Describe the Spreading of a Rumor. International Journal of Data Science and Analysis, 3(4), 28-33. https://doi.org/10.11648/j.ijdsa.20170304.12

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ACS Style

Raul Isea; Karl E. Lonngren. A New Variant of the SEIZ Model to Describe the Spreading of a Rumor. Int. J. Data Sci. Anal. 2017, 3(4), 28-33. doi: 10.11648/j.ijdsa.20170304.12

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AMA Style

Raul Isea, Karl E. Lonngren. A New Variant of the SEIZ Model to Describe the Spreading of a Rumor. Int J Data Sci Anal. 2017;3(4):28-33. doi: 10.11648/j.ijdsa.20170304.12

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@article{10.11648/j.ijdsa.20170304.12,
  author = {Raul Isea and Karl E. Lonngren},
  title = {A New Variant of the SEIZ Model to Describe the Spreading of a Rumor},
  journal = {International Journal of Data Science and Analysis},
  volume = {3},
  number = {4},
  pages = {28-33},
  doi = {10.11648/j.ijdsa.20170304.12},
  url = {https://doi.org/10.11648/j.ijdsa.20170304.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijdsa.20170304.12},
  abstract = {We propose a variant of the SEIZ mathematical model originally proposed by Bettencourt et al, where the rumor spreads between two different scenarios Z1 and  Z2 which do not share information with each other. This model is studied analytically where we include a new parameter μ for forgetting a rumor. We show results that were obtained using this model for a certain case in Venezuela. Finally, we also provide the numerical code for the numerical integration in order to provide a useful tool for others in their investigations.},
 year = {2017}
}

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TY  - JOUR
T1  - A New Variant of the SEIZ Model to Describe the Spreading of a Rumor
AU  - Raul Isea
AU  - Karl E. Lonngren
Y1  - 2017/10/17
PY  - 2017
N1  - https://doi.org/10.11648/j.ijdsa.20170304.12
DO  - 10.11648/j.ijdsa.20170304.12
T2  - International Journal of Data Science and Analysis
JF  - International Journal of Data Science and Analysis
JO  - International Journal of Data Science and Analysis
SP  - 28
EP  - 33
PB  - Science Publishing Group
SN  - 2575-1891
UR  - https://doi.org/10.11648/j.ijdsa.20170304.12
AB  - We propose a variant of the SEIZ mathematical model originally proposed by Bettencourt et al, where the rumor spreads between two different scenarios Z1 and  Z2 which do not share information with each other. This model is studied analytically where we include a new parameter μ for forgetting a rumor. We show results that were obtained using this model for a certain case in Venezuela. Finally, we also provide the numerical code for the numerical integration in order to provide a useful tool for others in their investigations.
VL  - 3
IS  - 4
ER  -

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Author Information

Raul Isea

Institute of Advanced Studies- IDEA, Hoyo de la Puerta, Baruta, Venezuela
Karl E. Lonngren

Department of Electrical and Computer Engineering, University of Iowa, Iowa City, USA

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APA Style

Raul Isea, Karl E. Lonngren. (2017). A New Variant of the SEIZ Model to Describe the Spreading of a Rumor. International Journal of Data Science and Analysis, 3(4), 28-33. https://doi.org/10.11648/j.ijdsa.20170304.12

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ACS Style

Raul Isea; Karl E. Lonngren. A New Variant of the SEIZ Model to Describe the Spreading of a Rumor. Int. J. Data Sci. Anal. 2017, 3(4), 28-33. doi: 10.11648/j.ijdsa.20170304.12

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AMA Style

Raul Isea, Karl E. Lonngren. A New Variant of the SEIZ Model to Describe the Spreading of a Rumor. Int J Data Sci Anal. 2017;3(4):28-33. doi: 10.11648/j.ijdsa.20170304.12

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@article{10.11648/j.ijdsa.20170304.12,
  author = {Raul Isea and Karl E. Lonngren},
  title = {A New Variant of the SEIZ Model to Describe the Spreading of a Rumor},
  journal = {International Journal of Data Science and Analysis},
  volume = {3},
  number = {4},
  pages = {28-33},
  doi = {10.11648/j.ijdsa.20170304.12},
  url = {https://doi.org/10.11648/j.ijdsa.20170304.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijdsa.20170304.12},
  abstract = {We propose a variant of the SEIZ mathematical model originally proposed by Bettencourt et al, where the rumor spreads between two different scenarios Z1 and  Z2 which do not share information with each other. This model is studied analytically where we include a new parameter μ for forgetting a rumor. We show results that were obtained using this model for a certain case in Venezuela. Finally, we also provide the numerical code for the numerical integration in order to provide a useful tool for others in their investigations.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - A New Variant of the SEIZ Model to Describe the Spreading of a Rumor
AU  - Raul Isea
AU  - Karl E. Lonngren
Y1  - 2017/10/17
PY  - 2017
N1  - https://doi.org/10.11648/j.ijdsa.20170304.12
DO  - 10.11648/j.ijdsa.20170304.12
T2  - International Journal of Data Science and Analysis
JF  - International Journal of Data Science and Analysis
JO  - International Journal of Data Science and Analysis
SP  - 28
EP  - 33
PB  - Science Publishing Group
SN  - 2575-1891
UR  - https://doi.org/10.11648/j.ijdsa.20170304.12
AB  - We propose a variant of the SEIZ mathematical model originally proposed by Bettencourt et al, where the rumor spreads between two different scenarios Z1 and  Z2 which do not share information with each other. This model is studied analytically where we include a new parameter μ for forgetting a rumor. We show results that were obtained using this model for a certain case in Venezuela. Finally, we also provide the numerical code for the numerical integration in order to provide a useful tool for others in their investigations.
VL  - 3
IS  - 4
ER  -

Copy | Download