A Host-Vector Model for Dengue Transmission
integrating microscopic and macroscopic dynamics
DOI:
https://doi.org/10.5540/03.2026.012.01.0238Palavras-chave:
Dengue Fever, Mathematical Models, Delay Differential Equations, Numerical SimulationsResumo
Dengue fever poses a significant global health threat, with millions of infections annually. This work introduces a preliminary mathematical model for studying dengue reinfections, aiming at the Antibody-Dependent Enhancement phenomenon. We employ a vector-host modeling approach, incorporating viral and antibody micro-dynamics to define new infections. In addition, we explore a specific case that leads to a delayed model, analyzing its endemic equilibrium through theoretical and numerical studies. The results confirm expected epidemiological behavior, supporting the model’s applicability in dengue research.
Downloads
Referências
M. Aguiar, V. Anam, K. B. Blyuss, C. D. S. Estadilla, B. V. Guerrero, D. Knopoff, B. W. Kooi, A. K. Srivastav, V. Steindorf, and N. Stollenwerk. “Mathematical models for dengue fever epidemiology: A 10-year systematic review”. In: Physics of Life Reviews 40 (2022), pp. 65–92. doi: 10.1016/j.plrev.2022.02.001.
M. S. Aronna and Y. Dumont. “On nonlinear pest/vector control via the sterile insect technique: Impact of residual fertility”. In: Bulletin of Mathematical Biology 8 (2020). doi: 10.1007/s11538-020-00790-3.
H. Gulbudak. “An immuno-epidemiological vector-host model with within-vector viral kinetics”. In: Journal of Biological Systems 2 (2020). doi: 10.1142/S0218339020400021.
R. D. Marca, N. Loy, and A. Tosin. “An SIR model with viral load-dependent transmission”. In: Journal of Mathematical Biology 4 (2023). doi: 10.1007/s00285-023-01901-z.
A. L. St. John and A. P. S. Rathore. “Adaptive immune responses to primary and secondary dengue virus infections”. In: Nature Reviews Immunology 4 (2019), pp. 218–230. doi: 10.1038/s41577-019-0123-x.
WHO. Dengue and severe dengue. Online. Accessed 10/03/2025, https://www.who.int/news-room/fact-sheets/detail/dengue-and-severe-dengue.
