This work studies a new SEIR type mathematical model for SARS-CoV-2 . We show how immigration, protection, death rate, exposure, cure rate and interaction of infected people with healthy people affect the population . Our model has four classes including susceptible, exposed, infected and recovered respectively . Here, we find the basic reproduction number and local stability through jacobean matrix . Lyapunov function theory is used to calculate the global stability for the problem under investigation . Also an attempt is made to derive some numerical interpretation under fractional derivative by using fractional order nonstandard finite difference (NSFD) sachem . The graphical presentations are given for some real data.
Index: Reproduction number, SARS-CoV-2 SEIR model, fractional order nonstandard finite difference.