Analyzing epidemic spread through differential equations : SEIR model with time-varying parameters and social structure
*Atul ChandolaCorresponding author23bsb50004@cuchd.inDepartment of Education and Teacher TrainingUniversity Institute of Teachers Training and Research (UITTR)Chandigarh UniversityGharuan, Mohali, Punjab, 140413, IndiaView full profile → , Ruchi Sharmaruchi.e15498@cumail.inDepartment of MathematicsChandigarh UniversityGharuan, Mohali, Punjab, 140413, IndiaView full profile → , Bhavya23bsb50024@cuchd.inDepartment of Education and Teacher TrainingUniversity Institute of Teachers Training and Research (UITTR)Chandigarh UniversityGharuan, Mohali, Punjab, 140413, IndiaView full profile → , Chetan23bsb50012@cuchd.inDepartment of Education and Teacher TrainingUniversity Institute of Teachers Training and Research (UITTR)Chandigarh UniversityGharuan, Mohali, Punjab, 140413, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Feb 2026
- Published Online:
- 25 Aug 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2648
- Pages:
- 2593–2599
Abstract
New Model of Public Health Value of Vaccination Integrating Social Network Structure and Time-Varying Parameters. We introduce a new mathematical model of public health value of vaccination that integrates social network structure and time-varying parameter into a traditional model, the SEIR model. Traditional epidemiological models tend to assume homogeneity of the population and constant parameters for all health-relevant measurements such as transmission rates and vaccine efficacy. However, in practical contexts, the contact rates between individual and population and the epidemiology of transmission of the disease vary extensively among different social groups and over time.
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References
[1] A. E. Bardach, A. O. Alcaraz, A. Ciapponi, O. U. Garay, A. P. Riviere, A. Palacios, M. Cremonte, and F. Augustovski, “Alcohol consumption’s attributable disease burden and cost-effectiveness of targeted public health interventions: A systematic review of mathematical models,” BMC Public Health, vol. 19, pp. 1–15 (2019).
[2] B. Buonomo, G. Carbone, and A. D’Onofrio, “Effect of seasonality on the dynamics of an imitation-based vaccination model with public health intervention,” Math. Biosci. Eng., vol. 15, no. 1, pp. 299–321 (2018).
[3] D. Chumachenko, “A theoretical framework for agent-based modelling of infectious disease dynamics under misinformation and vaccine hesitancy,” Radioelectron. Comput. Syst., vol. 2025, no. 1, pp. 6–28 (2025).
[4] H. T. Alemneh, S. W. Teklu, B. S. Kotola, and K. G. Mekonen, “Investigation of an optimal control strategy for a cholera disease transmission model with programs,” Front. Appl. Math. Stat., vol. 10, Art. no. 1462701 (2024), doi: 10.3389/fams.2024.1462701.
[5] S. Peddinti and Y. Sabbani, “Mathematical modeling of infectious disease spread using differential equations and epidemiological insights,” J. Nonlinear Anal. Optim., vol. 15, pp. 114–122 (2024).
[6] U. Bhardwaj, S. J. Navale, A. S. Chanchlani, S. D. Murtuza, D. Dey, E. Khudaynazarov, and N. Joshi, “Mathematical models to optimize pandemic spread and control strategies in public health management,” J. Interdiscip. Math., vol. 29, no. 3, pp. 597–606 (2026), doi: 10.47974/JIM-2494.




