# Multi-Strain Age-Structured Dengue Transmission Model: Analysis and Optimal Control

## TL;DR

This paper develops a multi-strain, age-structured dengue transmission model to analyze the impact of vaccination and control strategies, revealing that traditional interventions outperform Dengvaxia in reducing cases.

## Contribution

It introduces a novel multi-strain, age-structured mathematical model for dengue transmission and applies optimal control theory to evaluate intervention strategies.

## Key findings

- Traditional control strategies outperform Dengvaxia in case reduction.
- The model highlights the importance of age-specific interventions.
- Optimal control simulations provide insights into effective dengue management.

## Abstract

Dengue is a serious health problem in the Philippines. In 2016, the Department of Health of the country launched a dengue vaccination campaign using Dengvaxia. However, the campaign was mired with controversy and the use of Dengvaxia was banned in the country. This study proposes a mathematical model that represents the dynamics of the transmission of dengue with its four strains. Considering that the Dengvaxia vaccine was intended to be given only to people aging from 9 to 45 years old, the human population is divided into two age groups: from 9-45 years old and the rest of the population. Using this model and optimal control theory we simulate what could have been the effect of Dengvaxia in the number of dengue cases and then compare this with the other usual dengue intervention strategies. Results show that the best implementation of the usual strategies is better than that of Dengvaxia.