Based on the theory of epidemics of Kermark and Mckendrick (1927), the spread of infectious diseases usually can be described mathematically by compartmental models such as SIR or SIRS model with each letter referring to a “compartment” in which an individual can reside. Hence vaccination can also be considered by adding some compartment naturally into the basic epidemic models for certain diseases. For example, Kribs-Zaleta and Velasco-Hernandez(2000) added a compartment V into an SIS model and studied the vaccination of disease such as pertussis and tuberculosis; it has been generalized by Arino (2003), allowing individuals recovering from the disease to go into a temporarily immune class rather than directly back into the susceptible class. Kribs Zaleta and Meatcheva (2002) studied the effects of a vaccination campaign upon the spread of a nonfatal diseases such as Hepatitis A, B and feline calicivirus (FCV), which features both acute and chronic infective stages,as well as variable infactivity and recovery retes in the chronic stage; Alexander et al. (2004) and Shim (2006) used SVIR models to study the transmission dynamics of influenza with vaccination; and d’Onofrio et al. (2007) gave a family of models for information-related vaccinating behavior.