On a New Discrete SEIADR Model with Mixed Controls: Study of Its Properties

作者: Raul Nistal , Manuel de la Sen , Santiago Alonso-Quesada , Asier Ibeas

DOI: 10.3390/MATH7010018

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摘要: A new discrete SEIADR epidemic model is built based on previous continuous models. The considers two extra subpopulation, namely, asymptomatic and lying corpses the usual SEIR It can be of potential interest for diseases where infected are infectious like, instance, Ebola. includes types vaccinations, a constant one another proportional to susceptible as well treatment control applied subpopulation. We study positivity controlled stability equilibrium points. Simulations made in order provide allocation examples different possible conditions. point with no infection its related, via reproduction number values, reachability endemic point.

参考文章(33)
Herbert W. Hethcote, Three Basic Epidemiological Models Biomathematics. ,vol. 18, pp. 119- 144 ,(1989) , 10.1007/978-3-642-61317-3_5
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
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
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
M. De la Sen, S. Alonso-Quesada, Vaccination strategies based on feedback control techniques for a general SEIR-epidemic model Applied Mathematics and Computation. ,vol. 218, pp. 3888- 3904 ,(2011) , 10.1016/J.AMC.2011.09.036
Yuying He, Shujing Gao, Dehui Xie, An SIR epidemic model with time-varying pulse control schemes and saturated infectious force Applied Mathematical Modelling. ,vol. 37, pp. 8131- 8140 ,(2013) , 10.1016/J.APM.2013.03.035
A. Bilbao-Guillerna, M. De La Sen, A. Ibeas, S. Alonso-Quesada, Robustly stable multiestimation scheme for adaptive control and identification with model reduction issues Discrete Dynamics in Nature and Society. ,vol. 2005, pp. 31- 67 ,(2005) , 10.1155/DDNS.2005.31
A. Bilbao-Guillerna, M. De la Sen, S. Alonso-Quesada, MULTIMODEL DISCRETE CONTROL WITH ONLINE UPDATING OF THE FRACTIONAL ORDER HOLD GAINS Cybernetics and Systems. ,vol. 38, pp. 249- 274 ,(2007) , 10.1080/01969720601187313
Sophia R.-J. Jang, On a discrete West Nile epidemic model Computational & Applied Mathematics. ,vol. 26, pp. 397- 414 ,(2007) , 10.1590/S0101-82052007000300005