# Hospitalization in the transmission of dengue dynamics: The impact on public health policies

## TL;DR

This paper develops a compartmental model for dengue transmission that incorporates hospitalization risk, analyzes its basic reproductive number, and discusses implications for public health policies and control strategies.

## Contribution

It introduces a novel model including hospitalization effects and provides stability analysis and simulations to inform public health strategies.

## Key findings

- The basic reproductive number $\\mathcal{R}_0$ is computed and analyzed.
- Sensitivity analysis identifies key parameters influencing transmission.
- Numerical simulations suggest optimal control strategies for dengue prevention.

## Abstract

Dengue virus has caused major problems for public health officials for decades in tropical and subtropical countries. We construct a compartmental model that includes the risk of hospitalization and its impact on public health policies. The basic reproductive number, $\mathcal{R}_0$, is computed, as well as a sensitivity analysis on $\mathcal{R}_0$ parameters and discuss the relevance in public health policies. The local and global stability of the disease-free equilibrium is established. Numerical simulations are performed to better determine future prevention/control strategies.