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

被引：6

作者：

Martin, Olivier ^{[1
]}

Fernandez-Diclo, Yasmil ^{[1
]}

Coville, Jerome ^{[1
]}

Soubeyrand, Samuel ^{[1
]}

机构：

[1] INRAE, BioSP, F-84914 Avignon, France

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2021年 / 57卷

基金：

欧盟地平线“2020”;

关键词：

Equilibrium analysis; Compartmental model; Global sensitivity analysis; Partial differential equations; Transient phase; Xylella fastidiosa; DIFFUSION;

D O I：

10.1016/j.nonrwa.2020.103194

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 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 transient 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. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：19

共 41 条

[1] Dating and localizing an invasion from post-introduction data and a coupled reaction-diffusion-absorption model [J].