Equilibrium and sensitivity analysis of a spatio-temporal host-vector epidemic model - Archive ouverte HAL Access content directly
Journal Articles Nonlinear Analysis: Real World Applications Year : 2021

Equilibrium and sensitivity analysis of a spatio-temporal host-vector epidemic model

Abstract

Insect-borne diseases are diseases carried by insects affecting humans, animals or plants. They have the potential to generate massive outbreaks such as the Zika epidemic in 2015-2016 mostly distributed in the Americas, the Pacific and Southeast Asia, and the multi-foci outbreak caused by the bacterium {\it Xylella fastidiosa} in Europe in the 2010s. In this article, we propose and analyze the behavior of a spatially-explicit compartmental model adapted to pathosystems with fixed hosts and mobile vectors disseminating the disease. The behavior of this model based on a system of partial differential equations is complementarily characterized via a theoretical study of its equilibrium states and a numerical study of its transitive phase using global sensitivity analysis. The results are discussed in terms of implications concerning the surveillance and control of the disease over a medium-to-long temporal horizon.
Fichier principal
Vignette du fichier
mainnew-jc.pdf (1.81 Mo) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-02482090 , version 1 (17-02-2020)

Identifiers

Cite

Olivier Martin, Yasmil Fernandez-Diclo, Jérôme Coville, Samuel Soubeyrand. Equilibrium and sensitivity analysis of a spatio-temporal host-vector epidemic model. Nonlinear Analysis: Real World Applications, 2021, 57, ⟨10.1016/j.nonrwa.2020.103194⟩. ⟨hal-02482090⟩
93 View
58 Download

Altmetric

Share

Gmail Facebook X LinkedIn More