COVID-19

Viable control of COVID-19 spread with vaccination

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

Optimal control strategy for the administration of the third vaccine dose in the treatment of pandemic COVID-19

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

A mathematical study of the COVID-19 propagation through a stochastic epidemic model

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.

Management of perinatal care during the COVID-19 pandemic in Ukraine: organizational and legal mechanism

Introduction. The topic of maternity and childhood care is one of the most important in the health care system of Ukraine, given the importance of the issue of the birth of healthy children – the future potential of an independent state.

At the beginning of the era of implementation of the Sustainable Development Goals, the morbidity and mortality of women during pregnancy and childbirth remained unacceptably high. Most of them could have been prevented.

FORMATION OF EXPERIENCE AGAINST THE CHALLENGES OF VIRAL INFECTION THROUGH THE USE OF STUDENTS KNOWLEDGE OF BIOSAFY TECHNOLOGIES, part 2

New challenges and the state of development of COVID-19 in connection with the spread of new strains of SARS-CoV-2 have been analyzed. Experience and knowledge in working with new means of protection of different types of vaccines are studied: both classic, based on inactivated virus or its fragment, and the new generation – with vector and genetic mRNA vaccines, as well as effective antiviral drugs. Biorisks and compliance with biosafety principles have been studied.

FORMATION OF EXPERIENCE AGAINST THE CHALLENGES OF VIRAL INFECTION THROUGH THE USE OF STUDENTS KNOWLEDGE OF BIOSAFY TECHNOLOGIES, part 1

New challenges and the state of development of COVID-19 in connection with the spread of new strains of SARS-CoV-2 have been analyzed. Experience and knowledge in working with new means of protection of different types of vaccines are studied: both classic, based on inactivated virus or its fragment, and the new generation - with vector and genetic mRNA vaccines, as well as effective antiviral drugs. Biorisks and compliance with biosafety principles have been studied.

Modeling of the COVID-19 pandemic in the limit of no acquired immunity

We propose the SEIRS compartmental epidemiology model aimed at modeling the COVID-19 pandemy dynamics.  The limit case of no acquired immunity (neither natural nor via vaccination) is considered mimicking the situation (i) when no effective vaccine being developed or available yet, and (ii) the virus strongly mutates causing massive reinfections.  Therefore, the only means of suppressing the virus spread are via quarantine measures and effective identification and isolation of infected individuals.  We found both the disease-free and the endemic fixed points and examined their stab

Fractional-order mathematical model for analysing impact of quarantine on transmission of COVID-19 in India

An outbreak of the novel coronavirus disease was first reported in Wuhan, China in December 2019.  In India, the first case was reported on January 30, 2020 on a person with a travel history to an affected country.  Considering the fact of a heavily populated and diversified country like India, we have proposed a novel fractional-order mathematical model to elicit the transmission dynamics of the coronavirus disease (COVID-19) and the control strategy for India.  The classical SEIR model is employed in three compartments, namely: quarantined immigrated population, non-q