A study on the spread of COVID 19 outbreak by using mathematical modeling (original) (raw)

MODELING OF EPIDEMICS-COVID-19 USING DIFFERENTIAL EQUATIONS (Atena Editora)

MODELING OF EPIDEMICS-COVID-19 USING DIFFERENTIAL EQUATIONS (Atena Editora), 2023

The study of epidemics since ancient times is an area that has aroused great interest; the history of humanity has been marked by major infections such as smallpox, the Black Death, measles, AIDS, cholera, Ebola and others. Humanity is being hit by epidemic outbreaks, which worries the World Health Organization due to the increase in the number of cases, with the Sars-CoV-2 coronavirus becoming a global pandemic on January 30, 2020. The same one that has captured the attention of The scientific community worldwide severe acute respiratory syndrome caused by the 2019-nCoV virus or Sars-CoV - 2, results in substantial morbidity and mortality. Coronaviruses can cause diseases in humans and animals, they are a large family of viruses, their impact on humans results in respiratory infections, the recently discovered coronavirus causes the COVID-19 disease. To understand the dynamics of the epidemic allows us to design new measures that can be applied in order to combat the epidemiological outbreak, through mathematical modeling using differential equations as a tool used. to monitor the dynamics of the epidemiological behavior of Covid-19 in Ecuador. This research is developed through the explicit solution of the SIR model, and we model the development of short-term and more extensive epidemics such as COVID-19 in early stages and its best-known variants to predict the spread of infectious diseases in a population, both from the theoretical and computational point of view. Information about the Coronavirus was obtained from the Johns Hopkins University database.(Universidad Johns Hopkins, 2020)

Mathematical and Computer Models of the COVID-19 Epidemic

Scientific Journal of Astana IT University

The COVID-19 epidemic has gone down in history as an emergency of international importance. Currently, the number of people infected with coronavirus around the world continues to grow, and modeling such a complex system as the spread of infection is one of the most pressing problems. Various models are used to understand the progress of the COVID-19 coronavirus epidemic and to plan effective control strategies. Such models require the use of advanced computing, such as artificial intelligence, machine learning, cloud computing, and edge computing. This article uses the SIR mathematical model, which is often used and simple to model the prevalence of COVID-19 infection. The SIR model can provide a theoretical basis for studying the prevalence of the COVID-19 virus in a specific population and an understanding of the temporal evolution of the virus. One of the main advantages of this model is the ease of adjusting the sampling parameters as the study scale increases and the most appr...

Solution for the Mathematical Modeling and Future Prediction of the COVID-19 Pandemic Dynamics

Applied Sciences

The COVID-19 infectious disease spread in the world represents, by far, one of the most significant moments in humankind’s recent history, affecting daily activities for a long period of time. The data available now allow important modelling developments for the simulation and prediction of the process of an infectious disease spread. The current work provides strong insight for estimation and prediction mathematical model development with emphasis on differentiation between three distinct methods, based on data gathering for Romanian territory. An essential aspect of the research is the quantification and filtering of the collected data. The current work identified five main categories considered as the model’s inputs: inside temperatures (°C), outside temperatures (°C), humidity (%), the number of tests and the quantified value of COVID-19 measures (%) and, as the model’s outputs: the number of new cases, the number of new deaths, the total number of cases or the total number of d...

A Mathematical Model of COVID-19: Analysis and Identification of Parameters for Better Decision Making

Applied Mathematics, 2022

Since the onset of the COVID-19 epidemic, the world has been impressed by two things: The number of people infected and the number of deaths. Here, we propose a mathematical model of the spread of this disease, analyze this model mathematically and determine one or more dominant factors in the propagation of the COVID-19 epidemic. We consider the S-E-I-R epidemic model in the form of ordinary differential equations, in a population structured in susceptibles S, exposed E as caregivers, travelers and assistants at public events, infected I and recovered R classes. Here we decompose the recovered class into two classes: The deaths class D and the class of those who are truly healed H. After the model construction, we have calculated the basic reproduction number 0 R , which is a function of certain number of parameters like the size of the exposed class E. In our paper, the mathematical analysis, which consists in searching the equilibrium points and studying their stability, is done. The work identifies some parameters on which one can act to control the spread of the disease. The numerical simulations are done and they illustrate our theoretical analysis.

Application of Mathematical Modelings in Prediction of COVID-19 Transmission Dynamics

2020

Human civilizations are under enormous threats due to the outbreak of novel coronavirus (COVID-19) originated from Wuhan, China. The asymptomatic carriers are the potential spreads of this novel virus. Since, guaranteed antiviral treatments have not been available in the market so far, it is really challenging to fight against this contagious disease. To save the living mankind, it is urgent to know more about how the virus transmits itself from one to another quite rapidly and how we can predict future infections. Scientists and Researchers are working hard in investigating to understand its high infection rate and transmission process. One possible way to know is to use our existing COVID-19 infection data and prepare a useful model to predict the future trend. Mathematical modelling is very useful to understand the basic principle of COVID-19 transmission and provide necessary guidelines for future prediction. Here, we have reviewed 9 distinct commonly used models based on Mathem...

Application of Mathematical Modeling in Prediction of COVID-19 Transmission Dynamics

Arabian Journal for Science and Engineering, 2022

The entire world has been affected by the outbreak of COVID-19 since early 2020. Human carriers are largely the spreaders of this new disease, and it spreads much faster compared to previously identified coronaviruses and other flu viruses. Although vaccines have been invented and released, it will still be a challenge to overcome this disease. To save lives, it is important to better understand how the virus is transmitted from one host to another and how future areas of infection can be predicted. Recently, the second wave of infection has hit multiple countries, and governments have implemented necessary measures to tackle the spread of the virus. We investigated the three phases of COVID-19 research through a selected list of mathematical modeling articles. To take the necessary measures, it is important to understand the transmission dynamics of the disease, and mathematical modeling has been considered a proven technique in predicting such dynamics. To this end, this paper summarizes all the available mathematical models that have been used in predicting the transmission of COVID-19. A total of nine mathematical models have been thoroughly reviewed and characterized in this work, so as to understand the intrinsic properties of each model in predicting disease transmission dynamics. The application of these nine models in predicting COVID-19 transmission dynamics is presented with a case study, along with detailed comparisons of these models. Toward the end of the paper, key behavioral properties of each model, relevant challenges and future directions are discussed.

Relevence and Effectiveness of Mathematical Models Dealing with Covid-19 Pandemic

How does COVID-19 pandemic affect the India? How many people can be hit in a state and how many of them will succumb to the disease? When is it going to peak? How long should the government continue with the lockdown? What is the damage to the economy and what is its impact on each sector? These are some of the questions that haunt not only the decision makers but every sensible people in India. Mathematical models developed by mathematicians and epidemiologists has come to assist decision makers in evaluating the effects of countermeasures to an epidemic before they actually deploy them. The model could give political and beuricatic person's critical insights into the best steps they could take to counter the spread of disease in the face of pandemics. Mathematicians use modeling to represent, analyze and make predictions or otherwise provide insight into real world phenomena. Real world scenarios can be designed into a mathematical model to bring clarity to big messy questions amid fast changing variables. These models aim to make simplifying assumptions in order to arrive at tractable equations. Dealing with the novel coronavirus is an unprecedented situation which the world could not have foreseen. In order to track the COVID-19 pandemic, make predictions about the disease's progression and take decisions, as of now, the government is solely dependent on data from doctors and health workers.

Study of global dynamics of COVID-19 via a new mathematical model

Results in Physics, 2020

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