Abstract:[Purposes]In order to study the impact of population migration on the spread of the Rift Valley fever disease, a two-patch Rift Valley fever virus model is proposed based on the Beddington-DeAngelis incidence function. [Methods]By constructing Lyapunov function and applying LaSalle invariance principle, the global asymptotic stability of the disease-free equilibrium of the system is proved. Routh-hurwit criterion and geometric method are used to prove the stability of the positive equilibrium and the positive equilibrium of the system is global asymptotic stable. [Results]The basic regeneration number R10 and R20 of the two patches is got, established the threshold criteria for local and global asymptotic stability of the equilibrium and the theoretical results were verified by numerical simulation. [Conclusions]In two patches, the disease is extinct if R10≤1, R20≤1, while it is uniform persistent if R10>1