Drivers of Transient Dynamics and Persistence in Dengue: Insights from Sensitivity and Stochastic Modeling
Cesar Alberto Rosales-Alcantar, Marcos A. Capistr\'an

TL;DR
This study uses sensitivity and stochastic modeling to identify key factors influencing dengue transmission dynamics and persistence, informing targeted public health interventions.
Contribution
It introduces a stochastic vector-host model with waning immunity and analyzes parameter importance, highlighting control priorities during seasonal outbreaks.
Findings
Vertical transmission lowers persistence threshold.
Vector-host ratio and host recovery rate are most influential.
Asynchronous host-vector covariance suggests multiple niches for strains.
Abstract
We investigate how key epidemiological parameters shape both seasonal epidemics and the persistence of dengue transmission. Our findings confirm known mechanistic drivers of epidemic variability and introduce a ranking of parameter importance in our dengue model, which in turn informs the prioritization of public health policies. We propose a stochastic vector-host model with waning immunity, exogenous infection, and vertical transmission. To assess parameter influence, we first qualitatively analyze the macroscopic model. We then perform a multivariate Sobol sensitivity analysis of epidemic summary statistics, and examine the variance of the endemic equilibrium as a function of model parameters. We show that the macroscopic model is well posed, vertical transmission lowers the threshold for persistence, and low spatial coupling increases infectious endemic equilibria. The vector-host…
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