Analysis of a mosquito-borne epidemic model with vector stages and saturating forces of infection

TL;DR

This paper analyzes a mosquito-borne epidemic model with distinct vector stages and saturating transmission effects, revealing stability thresholds and parameter influences using mathematical techniques.

Contribution

It introduces a detailed model incorporating vector stages and saturation effects, providing new insights into epidemic thresholds and parameter roles.

Findings

Identification of stability-instability thresholds

Role of model parameters in disease dynamics

Use of center manifold and sensitivity analysis

Abstract

We study a mosquito-borne epidemic model where the vector population is distinct in aquatic and adult stages and a saturating effect of disease transmission is assumed to ocurr when the number of infectious (humans and mosquitoes) becomes large enough. Several techniques, including center manifold analysis and sensitivity analysis, have been used to reveal relevant features of the model dynamics. We determine the existence of stability-instability thresholds and the individual role played in such thresholds by the model parameters.