Affiliations: Institute of Research and Development of Processes, Faculty of Science and Technology, University of the Basque Country, PO. Box 644-Bilbao, Spain. Also with Department of Electricity and Electronics, Faculty of Science and Technology, University of the Basque Country, PO. Box 644-Bilbao, Spain, e-mail: manuel.delasen@ehu.es, santi@we.lc.ehu.es | Department of Telecommunications and Systems Engineering, Universitat Autònoma de Barcelona, 08193-Bellaterra, Barcelona, Spain, e-mail: raul.nistal@gmail.com, asier.ibeas@uab.cat
Abstract: This paper discusses the disease-free and endemic equilibrium points of a SVEIRS propagation disease model which potentially involves a regular constant vaccination. The positivity of such a model is also discussed as well as the boundedness of the total and partial populations. The model takes also into consideration the natural population growing and the mortality associate to the disease as well as the lost of immunity of newborns. It is assumed that there are two finite delays affecting to the susceptible, recovered, exposed and infected population dynamics.
