STOCHASTIC BIFURCATION ANALYSIS IN A SIV EPIDEMIC MODEL WITH POPULATION MIGRATION

In this paper, we propose a stochastic SIV epidemic model with population migration and analyze its stochastic stability and bifurcation. By utilizing polar coordinate transformation, stochastic averaging method and singular boundary theory, we prove the stochastic local and global stability of the system. Moreover, we derive sufficient conditions for the system to undergo the stochastic pitchfork bifurcation and Hopf bifurcation. Finally, numerical simulations are performed to verify the theoretical results.