A Host-Vector Model for Dengue Transmission: Integrating Microscopic and Macroscopic Dynamics

Dengue fever poses a significant global health threat, with millions of infections annually. This work introduces a preliminary mathematical model to study 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. Additionally, we explore a specific case leading 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.