Using spin-flip model (SFM) of vertical-cavity surface-emitting lasers (VCSELs) subject to polarized injection, it is found that reducing the spin relaxation, or increasing the birefringence and pumping terms, can increase elliptically polarized injection locking (EPIL) stability for the slave VCSEL. The nonlinear dynamic is investigated in optically injected VCSELs with numerical simulation techniques for six fundamental VCSEL rate equations. A novel phenomenon as quasi stability which affects the EPIL is analyzed.