M represents individuals protected by maternal antibodies; VS, VE, VI represent varicella susceptible, latent and infective; VR represents individuals recovered from varicella and temporally protected by CMI against HZ; ZS, ZI, ZR represent individuals susceptible, infected and permanently immune to HZ. Vaccine protection, varicella and HZ among vaccines. VP represents vaccine protected individuals. VBS, VBE and VBI represent vaccinated individuals susceptible, latent and infective for breakthrough varicella; VBR represents individuals recovered from breakthrough varicella and temporally protected by CMI against (breakthrough) HZ. ZBS, ZBI, ZBR represent individuals susceptible, infected and permanently immune to HZ that experienced varicella breakthrough after vaccination. ZVS, ZVI, ZVR represent individuals susceptible, infected and permanently immune to HZ for the vaccine strain. Details in Text S1.