The DynaCoSys model is a hybrid differential equation model that describes the complement activation of the alternative pathway. The dynamics of the surface bound molecules are described by a set of ordinary equations and the dynamics of the key fluid phase molecules are described by partial differential equations. The non-linear model includes all features of the complement system: activation, opsonization, stabilization, amplification and regulation. The DynaCoSys model is used in our studies for analyzing the complement activation mediated by Factor H and researching the complement immune evasion of *candida albicans* in the complement immune evasion study.