# Dengue model with early-life stage of vectors and age-structure within   host

**Authors:** Fabio Sanchez, Juan G. Calvo

arXiv: 1908.02434 · 2019-10-01

## TL;DR

This paper develops a comprehensive dengue transmission model incorporating early-life vector stages and host age structure, providing insights into disease dynamics and stability conditions.

## Contribution

It introduces a novel epidemic model that includes vector early-life stages and host age-structure, with analytical and numerical stability analysis.

## Key findings

- Derived the basic reproductive number for the model
- Identified conditions for local and global stability of infection-free state
- Implemented numerical simulations to validate theoretical results

## Abstract

We construct an epidemic model for the transmission of dengue fever with an early-life stage in the vector dynamics and age-structure within hosts. The early-life stage of the vector is modeled via a general function that supports multiple vector densities. The {\it basic reproductive number} and {\it vector demographic threshold} are computed to study the local and global stability of the infection-free state. A numerical framework is implemented and simulations are performed.

## Full text

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## Figures

36 figures with captions in the complete paper: https://tomesphere.com/paper/1908.02434/full.md

## References

12 references — full list in the complete paper: https://tomesphere.com/paper/1908.02434/full.md

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Source: https://tomesphere.com/paper/1908.02434