On Vaccination Strategies for a SISV Epidemic Model Guaranteeing the Nonexistence of Endemic Solutions

摘要: A vaccination strategy based on the state feedback control theory is proposed. The objective to fight against propagation of an infectious disease within a host population. This modelled by means SISV (susceptible-infectious-susceptible-vaccinated) epidemic model with time-varying whole population and mortality directly associated disease. adds four free-design parameters, three them being gains law. other one used switch off if proportion susceptible individuals smaller than prescribed threshold. paper analyses positivity such under proposed as well conditions for existence different equilibrium points its normalized model. fact that appropriate adjustment avoids endemic in while guaranteeing unique disease-free point globally exponentially stable proved. relevant novelty dealt this paper. persistence irrespective growing properties can be avoided way. Such theoretical results are mathematically proved and, also, they illustrated simulation examples. Moreover, performance several real situations studied some One deals presence uncertainties, which affects synthesis law, measures subpopulations