dc.creatorGonzález Parra, Paula Andrea
dc.creatorCeberio, Martine
dc.creatorLee, Sunmi
dc.creatorCastillo-Chavez, Carlos
dc.date.accessioned2019-11-20T14:40:53Z
dc.date.available2019-11-20T14:40:53Z
dc.date.created2019-11-20T14:40:53Z
dc.date.issued2014
dc.identifierParra P.A.G., Ceberio M., Lee S., Castillo-Chavez C. (2014) Optimal Control for a Discrete Time Influenza Model. In: Castillo L., Cristancho M., Isaza G., Pinzón A., Rodríguez J. (eds) Advances in Computational Biology. Advances in Intelligent Systems and Computing, vol 232. Springer, Cham. https://doi.org/10.1007/978-3-319-01568-2_33
dc.identifier9783319015675 (impreso)
dc.identifier9783319015682 (en línea)
dc.identifierhttp://hdl.handle.net/10614/11551
dc.identifier10.1007/978-3-319-01568-2_33
dc.description.abstractWe formulated a discrete time model in order to study optimal control strategies for a single influenza outbreak. In our model, we divided the population into four classes: susceptible, infectious, treated, and recovered individuals. The total population was divided into subgroups according to activity or susceptibility levels. The goal was to determine how treatment doses should be distributed in each group in order to reduce the final epidemic size. The case of limited resources is considered by including an isoperimetric constraint. We found that the use of antiviral treatment resulted in reductions in the cumulative number of infected individuals. We proposed to solve the problem by using the primal-dual interior-point method that enforces epidemiological constraints explicitly
dc.languageeng
dc.publisherSpringer
dc.relation237
dc.relation231
dc.relationAvances en Biología Computacional. Avances en Sistemas Inteligentes y Computación
dc.relationAdvances in Computational Biology. Advances in Intelligent Systems and Computing
dc.relationBrauer, F.: Epidemic models with heterogeneous mixing and treatment. Bull. of Math. Bio. 70, 1869–1885 (2008)
dc.relationBrauer, F., Feng, Z., Castillo-Chavez, C.: Discrete Epidemic Models. Math. Biosc. & Eng. 7, 1–15 (2010)
dc.relationCastillo-Chavez, C., Hethcote, H.W.: Epidemiological models with age structure, proportionate mixing, and cross immunity. J. of Math. Bio. 27, 233–258 (1989)
dc.relationChowell, G., Ammon, C.E., Hengartner, N.W., Hyman, J.M.: Transmission dynamics of the great influenza pandemic of 1918 in Geneva, Switzerland: Assessing the effects of hypothetical interventions. J. Theor. Biol. 241, 193–204 (2006)
dc.relationDel Valle, S.Y., Hyman, J.M., Hethcote, H.W., Eubank, S.G.: Mixing patterns between age groups in social networks. Social Networks 29, 539–554 (2007)
dc.relationEl-Bakry, A.S., Tapia, R.A., Tsuchiya, T., Zhang, Y.: On the formulation and theory of the primal-dual newton interior-point method for nonlinear programming. J. of Optim. Theo. and App. 89(3), 507–541 (1996)
dc.relationGonzález-Parra, P., Lee, S., Velazquez, L., Castillo-Chavez, C.: A note on the use of optimal control on a discrete time model of influenza dynamics. Math. Biosc. & Eng. 8(8), 183–197 (2011)
dc.relationGonzález-Parra, P.: Constraint optimal control for a multi-group discrete time influenza model. PhD. dissertation, The University of Texas at El Paso, El Paso, TX (2012)
dc.relationHerrera-Valdez, M.A., Cruz-Aponte, M., Castillo-Chavez, C.: Multiple outbreaks for the same pandemic: Local transportation and social distancing explain the different “waves” of A-H1N1pdm cases observed in Mxico during 2009. Math. Biosc. & Eng. 8(8), 21–48 (2011)
dc.relationHethcote, H.W.: An age-structured model for pertussis transmission. Math. Biosc. 145, 89–136 (1997)
dc.relationLee, S., Chowell, G., Castillo-Chavez, C.: Optimal control for pandemic influenza: the role of limited antiviral treatment and isolation. J. Theor. Biol. 265, 136–150 (2010)
dc.relationLee, S., Morales, R., Castillo-Chavez, C.: A note on the use of influenza vaccination strategies when supply is limited. Math. Biosc. & Eng. 8(8), 171–182 (2011)
dc.relationLenhart, S., Workman, J.: Optimal control applied to biological models. Chapman & Hall, CRC Mathematical and Computational Biology series (2007)
dc.relationNocedal, J., Wright, S.J.: Numerical optimization, 2nd edn. Springer (2006)
dc.relationRios-Soto, K., Song, B., Castillo-Chavez, C.: Epidemic spread of influenza viruses: The impact of transient populations on disease dynamics. Math. Biosc. & Eng. 8(8), 199–222 (2011)
dc.relationCastillo L., Cristancho M., Isaza G., Pinzón A., Rodríguez J. (eds) Advances in Computational Biology. Advances in Intelligent Systems and Computing, vol 232. Springer, Cham
dc.rightshttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rightsAtribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)
dc.rightsDerechos Reservados - Universidad Autónoma de Occidente
dc.subjectControl óptimo
dc.titleOptimal control for a discrete time influenza model
dc.typeArtículo de revista


Este ítem pertenece a la siguiente institución