Mathematical Analysis A Continuous Vaccination Strategy Effect against to spread of Measles by Using the Epidemic SVIR Models
Vaccination is one way to minimize the spread of disease. To complete a vaccination, it is usually done several times and there should be a fixed time interval. Considering vaccination in the basic SIR model, SVIR model assumes that individuals are vaccinated do not get immediate immunity means that individuals who are vaccinated still allow infected. So according to the process of vaccination on SVIR model, there are two strategies which continuous vaccination strategy (CVS) and disconnected vaccination strategy (PVS). In this study only addressed continuous vaccination strategy in epidemic model SVIR. Results from the study indicate that the dynamics of the CVS system is fully dependent on the basic reproductive number. If the basic reproductive number is less than one then the fixed point asymptotically stable disease-free will which means that eventually the disease will disappear from the population. Conversely, if more than one fixed point is asymptotically stable endemic would mean that the disease will still exist in the population. Mathematical results show that vaccination helps to minimize the spread of disease by reducing the basic reproductive number. But there is a necessary condition for the disease can be eradicated. If the time for the vaccine recipients to obtain immunity or the possibility of vaccine recipients infected neglected, the condition of the disease will disappear and the disease will always be eradicated. This can lead to over-evaluating the effect of vaccination.