摘要：A mathematical model which is non-linear in nature with non-integer order ϕ, 0 < ϕ ≤ 1 $0 < \phi \leq 1$ is presented for exploring the SIRV model with the rate of vaccination μ 1 $\mu _)$ and rate of treatment μ 2 $\mu _,$ to describe a measles model. Both the disease free F 0 $\mathcal{F}_($ and the endemic F ∗ $\mathcal{F}^{*}$ points have been calculated. The stability has also been argued for using the theorem of stability of non-integer order differential equations. R 0 $\mathcal{R} _($ , the basic reproduction number exhibits an imperative role in the stability of the model. The disease free equilibrium point F 0 $\mathcal{F}_($ is an attractor when R 0 < 1 $\mathcal{R}_( 1$ , F 0 $\mathcal{F}_($ is unstable, the endemic equilibrium F ∗ $\mathcal{F}^{*}$ subsists and it is an attractor. Numerical simulations of considerable model are also supported to study the behavior of the system.
