Using the methods in nonlinear analysis, this present paper, studies the quasilinear parabolic systems in population dynamics, and obtaines the existence of the global solution.

• 采用非线性分析的方法,在任意带光滑边界的区域内,研究一类带交错扩散影响的拟线性抛物系统,证明了解的整体存在性。