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Reference : UMR5219-GREFAY-001
Workplace : TOULOUSE
Date of publication : Monday, October 4, 2021
Type of Contract : FTC Scientist
Contract Period : 12 months
Expected date of employment : 31 January 2022
Proportion of work : Full time
Remuneration : between 2663 and 3783€ gross salary depending on experience
Desired level of education : PhD
Experience required : 1 to 4 years
The central question of this project is a deep understanding of the mechanisms underlying the propagation of epidemics in graphs as a fonction of their structure. We will take inspiration and benefit of existing works on spatially extended SIR type models, for which the theory of reaction-diffusion equations is well adapted, to transfer it to our discrete setting on graphs. Expected outcomes are a systematic characterization of the spreading phenomena as a function of the parameters of the model. Several diffusion mechanisms on graphs will be studied.
From methodological point of view, the project will mix theoretical and numerical aspects with a numerical implementation of the models and a comparison to available data.
The hired candidate will need to have a PhD in pure or applied mathematics prior of the beginning of the contract. Strong expertise in the theory of partial differential equations is expected together with some programming skills (Python or Matlab) for the numerical simulation of partial differential equations.
The post-doctoral position is funded by CNRS through the initiative MODCOV19. The successful candidate will be based at the Institut Mathématiques de Toulouse and will work with Grégory Faye and Jean-Michel Roquejoffre. This post-doctoral project shall be considered as a first contact in our research group. If successful, possible extensions of the contract may be proposed on other funding sources.
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