COVID-19

The COVID-19 epidemic has highlighted the need for easier and more precise diagnoses.  Traditional techniques, such as PCR tests, are helpful but can be time-consuming and laborious.  In order to further enhance picture quality, this study presents a novel method for identifying COVID-19 and other lung disorders utilizing chest X-rays, convolutional neural networks (CNNs), and histogram equalization.  The 1 823 X-ray pictures in the collection were divided into three categories: regular, COVID-19-positive, and additional lung infections.  Based on the combination of CNN

In this paper, we propose a mathematical model that describes the effect of rumors on the success of vaccination programs against Covid-19 in an environment infected by the coronavirus.  The aim of this study is to highlight the role of addressing the spread of rumors regarding vaccination risks and booster doses in the success of vaccination programs and in achieving herd immunity.  Additionally, we formulate an optimal control problem by proposing several strategies, including awareness and anti-rumor programs, to assist country officials in achieving successful vacci

The rapid and widespread transmission of COVID-19 has necessitated the development and implementation of effective control measures.  Vaccination has emerged as a key tool in combating the pandemic.  This article introduces a novel approach to modeling the dynamics of COVID-19 transmission by integrating vaccination strategies into the susceptible-infected-recovered (SIR) framework using viability theory.  We have defined a set of constraints including a guaranteed level of vaccination, we analyze the impact of different vaccination rates on curbing the spread of the vi

In this paper, we propose a mathematical model of COVID-19 infection, taking into account the division of the population according to vaccination criteria.  Our goal is to demonstrate the positive effect of receiving the third dose of the Corona vaccine.  We proposed two strategies to limit the spread of the COVID-19 pandemic respectively awareness programs on the importance of the third dose of the vaccine and the delivery of treatment to infected individuals who have health problems.  Pontryagin's maximum principle is applied in order to characterize the optimal contr

The COVID-19 is a major danger that threatens the whole world.  In this context, mathematical modeling is a very powerful tool for knowing more about how such a disease is transmitted within a host population of humans.  In this regard, we propose in the current study a stochastic epidemic model that describes the COVID-19 dynamics under the application of quarantine and coverage media strategies, and we give a rigorous mathematical analysis of this model to obtain an overview of COVID-19 dissemination behavior.