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Mathematical Model of the Spread of the Coronavirus Disease 2019 (COVID-19) in Burkina Faso

Applied Mathematics 2020年第11期11卷 1204-1218页

作者： aboudramane guiro Blaise Koné Stanislas Ouaro Département de Mathématiques UFR des Sciences et Techniques Université Nazi Boni de Bobo Dioulasso Bobo Dioulasso Burkina Faso LAboratoire de Mathématiques et Informatique (LAMI) Ouagadougou Burkina Faso Département de Mathématiques UFR des Sciences Exactes et Appliquées Université Joseph Ki Zerbo Ouagadougou Burkina Faso

In this paper, we develop a mathematical model of the COVID-19 pandemic in Burkina Faso. We use real data from Burkina Faso National Health Commission against COVID-19 to predict the dynamic of the disease and also the cumulative number of reported cases. We use public policies in model in order to reduce the contact rate, this allows to show how the reduction of the daily report of infectious cases goes, so we would like to draw the attention of decision makers for a rapid treatment of reported cases.

关键词： COVID-19 Statistics Data Exposed Person Reported and Unreported Cases Mathematical Model Public Policies Basic Reproduction Number Prediction

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Stability Analysis for a Discrete SIR Epidemic Model with Delay and General Nonlinear Incidence Function

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Applied Mathematics 2018年第9期9卷 1039-1054页

作者： aboudramane guiro Dramane Ouedraogo Harouna Ouedraogo Département de Mathématiques UFR des Sciences et Techniques Université Nazi Boni de Bobo-Dioulasso & LAboratoire de Mathématique et d’Informatique (LAMI) Bobo-Dioulasso Burkina Faso

In this paper, we construct a backward difference scheme for a class of SIR epidemic model with general incidence f . The step sizeτ used in our discretization is one. The dynamical properties are investigated (positivity and the boundedness of solution). By constructing the Lyapunov function, the general incidence function f must satisfy certain assumptions, under which, we establish the global stability of endemic equilibrium when R0 >1. The global stability of diseases-free equilibrium is also established when R0 ≤1. In addition we present numerical results of the continuous and discrete model of the different class according to the value of basic reproduction number R0.

关键词： Discrete Model Delay Lyapunov Functional Nonlinear Incidence Backward Difference Scheme Local Stability Global Stability

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Optimisation of Thermal Comfort of Building in a Hot and Dry Tropical Climate: A Comparative Approach between Compressed Earth/Concrete Block Envelopes

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Journal of Minerals and Materials Characterization and Engineering 2024年第1期12卷 1-16页

作者： Arnaud Louis Sountong-Noma Ouedraogo Césaire Hema Sjoerd Moustapha N’guiro Philbert Nshimiyimana Adamah Messan Laboratoire Eco-Matériaux et Habitat Durable (LEMHaD) Institut International de l’Ingénierie de l’eau et de l’environnement (Institut 2iE) Rue de la science 01 BP 594 Ouagadougou Burkina Faso

Compressed earth blocks (CEB) are an alternative to cement blocks in the construction of wall masonry. However, the optimal architectural construction methods for adequate thermal comfort for occupants in hot and arid environments are not mastered. This article evaluates the influence of architectural and constructive modes of buildings made of CEB walls and concrete block walls, to optimize and compare their thermal comfort in the hot and dry tropical climate of Ouagadougou, Burkina Faso. Two identical pilot buildings whose envelopes are made of CEB and concrete blocks were monitored for this study. The thermal models of the pilot buildings were implemented in the SketchUp software using an extension of EnergyPlus. The models were empirically validated after calibration against measured thermal data from the buildings. The models were used to do a parametric analysis for optimization of the thermal performances by simulating plaster coatings on the exterior of walls, airtight openings and natural ventilation depending on external weather conditions. The results show that the CEB building displays 7016 hours of discomfort, equivalent to 80.1% of the time, and the concrete building displays 6948 hours of discomfort, equivalent to 79.3% of the time. The optimization by modifications reduced the discomfort to 2918 and 3125 hours respectively;i.e. equivalent to only 33.3% for the CEB building and 35.7% for the concrete building. More study should evaluate thermal optimizations in buildings in real time of usage such as residential buildings commonly used by the local middle class. The use of CEB as a construction material and passive means of improving thermal comfort is a suitable ecological and economical option to replace cementitious material.

关键词： Compressed Earth Blocks Hot and Dry Climate Thermal Comfort Architectural Optimization of Thermal Models Cement Blocks Empirical Validation

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