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

Raul Nistal, Manuel De la Sen, Santiago Alonso-Quesada and Asier Ibeas
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Raul Nistal: Department of Electricity and Electronics, University of Basque Country, UPV/EHU, 48940 Leioa, Spain
Manuel De la Sen: Department of Electricity and Electronics, University of Basque Country, UPV/EHU, 48940 Leioa, Spain
Santiago Alonso-Quesada: Department of Electricity and Electronics, University of Basque Country, UPV/EHU, 48940 Leioa, Spain
Asier Ibeas: Department of Telecommunications and Systems Engineering, Universitat Autonoma de Barcelona, 08193 Barcelona, Spain

Mathematics, 2018, vol. 7, issue 1, 1-19

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

Keywords: vaccination controls; nonlinear dynamics and control systems; epidemic models; discrete models (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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