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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.
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Contributor : Jerome Coville <>
Submitted on : Monday, February 17, 2020 - 6:31:01 PM
Last modification on : Monday, November 30, 2020 - 6:42:01 PM
Long-term archiving on: : Monday, May 18, 2020 - 7:56:25 PM


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  • HAL Id : hal-02482090, version 1
  • ARXIV : 2002.07542



Olivier Martin, Yasmil Fernandez-Diclo, Jerome Coville, Samuel Soubeyrand. Equilibrium and sensitivity analysis of a spatio-temporal host-vector epidemic model. Nonlinear Analysis: Real World Applications, Elsevier, 2021, 57. ⟨hal-02482090⟩



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