According to the semiclassical theory of lightmatter interaction, the Bloch equations with chirped terms were established in a dense twolevel medium, and an accurate and efficient fourthorder RungeKutta method was applied for solving the equations. After numerical simulation, the interactions between a chirped ultrashort pulse and dense resonant twolevel medium were investigated, and the influences of localfield effects and chirp on Bloch vectors were gained. The numerical results show that, the evolutions of Bloch vectors and the final state of inversion are strongly modulated by the localfield effects correction coefficient and chirp parameter, which provides a method to achieve stable population inversion of control by adjusting the linear chirp parameter and local field correction coefficient.