TY  - JOUR
AU  - Nkeki, Charles Iwebuke
AU  - Omoregie, Rosemary
PY  - 2026
DA  - 2026/05/11
TI  - On Multi-Group Chickenpox Mathematical Epidemic Models with Effective Vaccination and Re-Infection Challenges
JO  - Journal of Mathematics and Interdisciplinary Applications
T2  - Journal of Mathematics and Interdisciplinary Applications
JF  - Journal of Mathematics and Interdisciplinary Applications
VL  - 2
IS  - 2
SP  - 91
EP  - 111
DO  - 10.62762/JMIA.2026.627569
UR  - https://www.icck.org/article/abs/JMIA.2026.627569
KW  - chickenpox
KW  - multi-age group $SEQ_3IHR$
KW  - mathematical epidemic models
KW  - effective vaccination
KW  - re-infection
KW  - subpopulation
AB  - A class of multi-age group $SEQ_3IHR$ chickenpox epidemic models with effective vaccination in a different subpopulation size, is considered, in this paper. It is assumed that individual members of the subpopulations who recovered from the disease, may be re-infected by the disease. The models comprise of six infectious classes of subclasses and three distinct infected stages of subclasses. We establish that the global dynamics of the epidemic models are determined entirely by the basic reproduction number. In this paper, we determine that the disease-free and endemic equilibrium states, and carry out a stability analysis of the disease-free as well as the endemic equilibrium points of the model. The findings show that age heterogeneity and vaccination rate play prominent roles in the determination of epidemic spread and control of chickenpox disease in the population and also serve as the factors that influenced the basic reproduction number. We found numerically that re-infections have little or no influence on the basic reproduction number but contribute tremendously to the reduction and/or increase in the number of individuals in incubation, prodromal and active stages, as well as treatment compartment of chickenpox infection over time.
SN  - 3070-393X
PB  - Institute of Central Computation and Knowledge
LA  - English
ER  - 

@article{Nkeki2026On,
  author = {Charles Iwebuke Nkeki and Rosemary Omoregie},
  title = {On Multi-Group Chickenpox Mathematical Epidemic Models with Effective Vaccination and Re-Infection Challenges},
  journal = {Journal of Mathematics and Interdisciplinary Applications},
  year = {2026},
  volume = {2},
  number = {2},
  pages = {91-111},
  doi = {10.62762/JMIA.2026.627569},
  url = {https://www.icck.org/article/abs/JMIA.2026.627569},
  abstract = {A class of multi-age group \$SEQ\_3IHR\$ chickenpox epidemic models with effective vaccination in a different subpopulation size, is considered, in this paper. It is assumed that individual members of the subpopulations who recovered from the disease, may be re-infected by the disease. The models comprise of six infectious classes of subclasses and three distinct infected stages of subclasses. We establish that the global dynamics of the epidemic models are determined entirely by the basic reproduction number. In this paper, we determine that the disease-free and endemic equilibrium states, and carry out a stability analysis of the disease-free as well as the endemic equilibrium points of the model. The findings show that age heterogeneity and vaccination rate play prominent roles in the determination of epidemic spread and control of chickenpox disease in the population and also serve as the factors that influenced the basic reproduction number. We found numerically that re-infections have little or no influence on the basic reproduction number but contribute tremendously to the reduction and/or increase in the number of individuals in incubation, prodromal and active stages, as well as treatment compartment of chickenpox infection over time.},
  keywords = {chickenpox, multi-age group \$SEQ\_3IHR\$, mathematical epidemic models, effective vaccination, re-infection, subpopulation},
  issn = {3070-393X},
  publisher = {Institute of Central Computation and Knowledge}
}