Pneumonia is a highly transmissible disease in children.According to the World Health Organization(WHO),the most affected regions include south Asia and sub-Saharan Africa.Worldwide,15%of pediatric deaths can be attri...Pneumonia is a highly transmissible disease in children.According to the World Health Organization(WHO),the most affected regions include south Asia and sub-Saharan Africa.Worldwide,15%of pediatric deaths can be attributed to pneumonia.Computing techniques have a significant role in science,engineering,and many other fields.In this study,we focused on the efficiency of numerical techniques via computer programs.We studied the dynamics of the pneumonia-like infections of epidemic models using numerical techniques.We discuss two types of analysis:dynamical and numerical.The dynamical analysis included positivity,boundedness,local stability,reproduction number,and equilibria of the model.We also discusswell-known computing techniques including Euler,Runge Kutta,and non-standard finite difference(NSFD)for the model.The non-standard finite difference(NSFD)technique shows convergence to the true equilibrium points of the model for any time step size.However,Euler and Runge Kutta do not work well over large time intervals.Computing techniques are the suitable tool for crosschecking the theoretical analysis of the model.展开更多
Cancer is a common term for many diseases that can affect any part of the body.In 2020,ten million people will die due to cancer.A worldwide leading cause of death is cancer by the World Health Organization(WHO)report...Cancer is a common term for many diseases that can affect any part of the body.In 2020,ten million people will die due to cancer.A worldwide leading cause of death is cancer by the World Health Organization(WHO)report.Interaction of cancer cells,viral therapy,and immune response are identified in this model.Mathematical and computational modeling is an effective tool to predict the dynamics of cancer virotherapy.The cell population is categorized into three parts like uninfected cells(x),infected cells(y),virus-free cells(v),and immune cells(z).The modeling of cancerlike diseases is based on the law of mass action(the rate of change of reacting substances is directly proportional to the product of interacting substances).Positivity,boundedness,equilibria,threshold analysis,are part of deterministic modeling.Later on,a numerical analysis is designed by using the standard and non-standard finite difference methods.The non-standard finite difference method is developed to study the long-term behavior of the cancer model.For its efficiency,a comparison of the methods is investigated.展开更多
文摘Pneumonia is a highly transmissible disease in children.According to the World Health Organization(WHO),the most affected regions include south Asia and sub-Saharan Africa.Worldwide,15%of pediatric deaths can be attributed to pneumonia.Computing techniques have a significant role in science,engineering,and many other fields.In this study,we focused on the efficiency of numerical techniques via computer programs.We studied the dynamics of the pneumonia-like infections of epidemic models using numerical techniques.We discuss two types of analysis:dynamical and numerical.The dynamical analysis included positivity,boundedness,local stability,reproduction number,and equilibria of the model.We also discusswell-known computing techniques including Euler,Runge Kutta,and non-standard finite difference(NSFD)for the model.The non-standard finite difference(NSFD)technique shows convergence to the true equilibrium points of the model for any time step size.However,Euler and Runge Kutta do not work well over large time intervals.Computing techniques are the suitable tool for crosschecking the theoretical analysis of the model.
文摘Cancer is a common term for many diseases that can affect any part of the body.In 2020,ten million people will die due to cancer.A worldwide leading cause of death is cancer by the World Health Organization(WHO)report.Interaction of cancer cells,viral therapy,and immune response are identified in this model.Mathematical and computational modeling is an effective tool to predict the dynamics of cancer virotherapy.The cell population is categorized into three parts like uninfected cells(x),infected cells(y),virus-free cells(v),and immune cells(z).The modeling of cancerlike diseases is based on the law of mass action(the rate of change of reacting substances is directly proportional to the product of interacting substances).Positivity,boundedness,equilibria,threshold analysis,are part of deterministic modeling.Later on,a numerical analysis is designed by using the standard and non-standard finite difference methods.The non-standard finite difference method is developed to study the long-term behavior of the cancer model.For its efficiency,a comparison of the methods is investigated.
