فهرست نشریات علمی دسترسی آزاد ایران

In this paper, a non-linear mathematical model is proposed and analyzed to study the role of vaccination and control measures on the spread of vector-borne diseases. It is assumed that susceptible hosts can be infected either directly or indirectly. In the modelling process, it is considered that only a susceptible person can be vaccinated. The existence of the control problem is proved and later used to investigate effective control efforts for the prevention of direct and indirect transmission of disease. The model is analyzed using Hurwitz and Sylvester’s criterion. The analysis of the model reveals that, if the vaccination reproduction number $\mathcal{R}_{v}$ is less than one, the disease can be eradicated provided, and the vaccine is highly efficient.