A switched multicontroller for an SEIADR epidemic model with monitored equilibrium points and supervised transients and vaccination costs

作者: M. De la Sen , R. P. Agarwal , R. Nistal , S. Alonso-Quesada , A. Ibeas

DOI: 10.1186/S13662-018-1839-9

关键词:

摘要: This paper presents a multicontroller structure for an SEIADR (susceptible-exposed-symptomatic infectious-asymptomatic infectious-dead lying bodies recovered by immunity, or immune, subpopulations) epidemic model, which has three different controls involving feedback, namely, the vaccination on susceptible subpopulation, antiviral treatment symptomatic infectious and impulsive removal infective bodies. The incorporation of asymptomatic dead to SEIR-type models allows better modeling diseases where death are as, instance, Ebola disease. proposed supervised scheme consists parallel disposal several alternative controller parameterizations together with switching that chooses active through consecutive time intervals via supervisory decision scheme. decides switch not at testing instants. Switching is performed distinct current if tentative minimizes value loss function compared values other control schemes available in disposal. (or cost) incorporates additive weighted terms including infection evolution vaccination, treatment, efforts.

参考文章(47)
Maria do Rosário de Pinho, Igor Kornienko, Helmut Maurer, Optimal Control of a SEIR Model with Mixed Constraints and L-1 Cost Springer, Cham. pp. 135- 145 ,(2015) , 10.1007/978-3-319-10380-8_14
Leonid Shaikhet, Stability of equilibrium states for a stochastically perturbed exponential type system of difference equations Journal of Computational and Applied Mathematics. ,vol. 290, pp. 92- 103 ,(2015) , 10.1016/J.CAM.2015.05.002
Asier Ibeas, Manuel de la Sen, Representations of Multi-Model Based Controllers by Using Artificial Intelligence Tools Informatica (lithuanian Academy of Sciences). ,vol. 15, pp. 337- 362 ,(2004) , 10.15388/INFORMATICA.2004.065
J. Herrera, A. Ibeas, S. Alcántara, M. de la Sen, Multimodel-based techniques for the identification and adaptive control of delayed multi-input multi-output systems Iet Control Theory and Applications. ,vol. 5, pp. 188- 202 ,(2011) , 10.1049/IET-CTA.2010.0032
Zhijian Wei, Meitao Le, Existence and Convergence of the Positive Solutions of a Discrete Epidemic Model Discrete Dynamics in Nature and Society. ,vol. 2015, pp. 1- 10 ,(2015) , 10.1155/2015/434537
O. Diekmann, J.A.P. Heesterbeek, M.C.M. de Jong, How does transmission of infection depend on population size Publications of the Newton Institute. ,vol. 5, pp. 84- 94 ,(1995)
Jan Komenda, Tomáš Masopust, Jan H. van Schuppen, Supervisory control synthesis of discrete-event systems using a coordination scheme Automatica. ,vol. 48, pp. 247- 254 ,(2012) , 10.1016/J.AUTOMATICA.2011.07.008
Kęstutis Dučinskas, Lijana Stabingienė, Expected Bayes Error Rate in Supervised Classification of Spatial Gaussian Data Informatica (lithuanian Academy of Sciences). ,vol. 22, pp. 371- 381 ,(2011) , 10.15388/INFORMATICA.2011.331
M. De la Sen, S. Alonso-Quesada, A. Ibeas, On the stability of an SEIR epidemic model with distributed time-delay and a general class of feedback vaccination rules Applied Mathematics and Computation. ,vol. 270, pp. 953- 976 ,(2015) , 10.1016/J.AMC.2015.08.099
Boli Xie, Zhijun Wang, Yakui Xue, Zhenmin Zhang, The Dynamics of a Delayed Predator-Prey Model with Double Allee Effect Discrete Dynamics in Nature and Society. ,vol. 2015, pp. 1- 8 ,(2015) , 10.1155/2015/102597