A Host-Vector Model for Dengue Transmission
integrating microscopic and macroscopic dynamics
DOI:
https://doi.org/10.5540/03.2026.012.01.0238Keywords:
Dengue Fever, Mathematical Models, Delay Differential Equations, Numerical SimulationsAbstract
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.
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