Global Asymptotical Stability of an SEIR Model with Random Perturbation

Stochasticity is introduced into a susceptible-exposed but not infectious-infectious-removed( SEIR) model describing epidemics' transmission,via the technique of parameter perturbation which is standard in stochastic population modeling. The existence and uniqueness of the model have been proved in this paper. And a detailed analysis on global asymptotic stability is also carried out.