A method for detecting pollution in
dissipative systems with incomplete data.

The COVID-19 (coronavirus disease) pandemic represents a global public health emergency unprecedented in recent history. This explains the growing interest of scientists in this subject. Indeed, the question of the COVID-19 pandemic has led to numerous scientific works, with the aim of estimating the reproduction number, the start date of the epidemic or the cumulative incidence. Their results have contributed to epidemiological surveillance and informed public health policy decisions. In our work, using basic data and statistics from the city of Ouagadougou in Burkina Faso, we first consider a mathematical model of COVID-19 transmission taking into account the possibility of transmission from dead populations to susceptible populations; then, we use another method which is the sentinel’s method of JL Lions to estimate the number of infected populations without any time trying to know the beginning of the epidemic; finally, we highlight the numerical simulation of the considered model solution.

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“…For the study of the existence of a sentinel, we use a method developed in [15]. We begin with some observability inequality.…”

Section: Existence Of a Sentinelmentioning

confidence: 99%

Control of the Spread of COVID-19 by the Sentinel Method and Numerical Simulation of the Studied Model Solution

Soma¹,

Ouedraogo

Lamien

et al. 2023

Abstract and Applied Analysis

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“…The famous one is the least square method. However with this method, the pollution and initial unknown terms τŷ 0 , λξ 0 are computed together and we cannot really separate them (see Lions [5], and Ainseba et al [1] or [6] for the parabolic case).…”

Section: Towards a Sentinel Problemmentioning

confidence: 99%

New modiﬁcation Sentinel for Linear Parabolic Equation

Teldja¹,

abdelhamid²

2018

(GLM)

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The purpose of this article is, firstly, to modify the old definition of the sentinel, introduced by J.L. Lions, so that we can separate the control support to the observation support and, secondly, to identify the pollution terms which arise in regular problems which are modeled by a linear parabolic equation. A new modification of the sentinel is used to identify pollution terms in the general case where the observation and the control supports are disjoint. The problem of finding a new modification sentinel is equivalent to finding the unique control of regular adjoint system of the parabolic equation that we solve.

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“…This point of view (where ω = O) has been considered for the first time in Nakoulima O. (2004) and Miloudi Y. et al (2007).…”

Section: Introductionmentioning

confidence: 99%

“…We use the techniques in Miloudi Y. et al (2007) to give an answer to the question (1.3). Let h 0 be some function in L 2 (O × (0, T)).…”

Section: Introductionmentioning

confidence: 99%

Some Aspects of the Sentinel Method for Pollution Problems

Omrane¹

2012

Air Quality - Monitoring and Modeling

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A method for detecting pollution in dissipative systems with incomplete data.

Cited by 5 publications

References 3 publications

Control of the Spread of COVID-19 by the Sentinel Method and Numerical Simulation of the Studied Model Solution

Control of the Spread of COVID-19 by the Sentinel Method and Numerical Simulation of the Studied Model Solution

New modiﬁcation Sentinel for Linear Parabolic Equation

Some Aspects of the Sentinel Method for Pollution Problems

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