Analysis of Infectious Disease Problems (Covid-19) and Their Global Impact / Agarwal, Praveen ; Nieto, Juan J. ; Ruzhansky, Michael ; Torres, Delfim F. M.  

Público ISBD Ningún comentario para este registro. Título : Analysis of Infectious Disease Problems (Covid-19) and Their Global Impact Tipo de documento: documento electrónico Autores: Agarwal, Praveen, ; Nieto, Juan J., ; Ruzhansky, Michael, ; Torres, Delfim F. M., Mención de edición: 1 ed. Editorial: Singapore [Malasia] : Springer Fecha de publicación: 2021 Número de páginas: XXIV, 627 p. 253 ilustraciones, 236 ilustraciones en color. ISBN/ISSN/DL: 978-981-1624506-- Nota general: Libro disponible en la plataforma SpringerLink. Descarga y lectura en formatos PDF, HTML y ePub. Descarga completa o por capítulos. Idioma : Inglés (eng) Palabras clave: Modelos matemáticos  Medicina Preventiva  Promoción de la salud  Modelización Matemática y Matemática Industrial  Promoción de la salud y prevención de enfermedades Clasificación: 003.3 Resumen: Este volumen editado es una colección de artículos de investigación seleccionados que analizan el análisis de enfermedades infecciosas mediante el uso de modelos matemáticos en los últimos tiempos. Dividido en dos partes, el libro ofrece un análisis general y nacional del Covid-19. Se presentan técnicas analíticas y numéricas para modelos de virus junto con la aplicación de modelos matemáticos en el análisis de sus tasas de propagación y tratamientos. El libro también incluye aplicaciones de ecuaciones diferenciales fraccionarias, así como ecuaciones ordinarias, parciales e integrodiferenciales con métodos de optimización. También se ha estudiado la distribución de probabilidad y sus aplicaciones biomatemáticas. Este libro es un recurso valioso para investigadores, académicos, biomatemáticos y expertos médicos. Nota de contenido: PART-1 GENERAL ANALYSIS: Arni S.R. Srinivasa Rao and Steven G. Krantz:Mathematical Models for Understanding Social Distancing Measures: General Setting and Analysis -- A. Lamrani Alaoui, M. Tilioua, M. R. Sidi and P. Agarwal: Dynamical Analysis of a Caputo Fractional Order SIR Epidemic Model with General Treatment Function -- Zalimkhan Nagoev, Viktor Narozhnov, Arsen Pskhu, and Sergo Rekhviashvili: Protective Face Shield Effectiveness: Mathematical Modelling -- Jonathan Blackledge: The Biodynamics Hypothesis and its Applications for the Mathematical Modelling of Biological Growth and the Analysis of Infectious Diseases -- Saratha Sathasivam, Teoh Poh Lin and Woon Le Yu: Modelling the Dynamics of Fake News Spreading Transmission During COVID-19 Through Social Media -- Renaud Di Francesco: Agent Based Model for COVID-19 Active Propagation Through Interaction: Use Cases of Elderly Care Homes, Households in Lockdown and Large Events -- Emmanuel Afolabi Bakare: Analysis of Optimal Control AgainstAge-Structured Hepatitis-B Virus Model -- Daniele Ritelli: Generalized Logistic Equations in COVID Epidemic Models -- Mohd Aman and Bushra Miftah:Impact on the Transition of Shared Mobility in Metro Cities in India: A Challenge Post-Lockdown of COVID-19 -- Abdelmajid Belafhal, S. Chib and Talha Usman: Analysis of COVID-19 Virus Spreading Statistics by the Use of a New Modified Weibull Distribution -- Redouane Qesmi and Aayah Hammoumi: From Finite to Infinite Dimensional Epidemic Models for COVID-19: Lockdown and Lifting Control Measures -- Malú Grave, Rodrigo Bird Burgos, Lisandro Lovisolo and Americo Cunha Jr: Data-Driven Graphical Analysis of Epidemic Trends -- Hoang Anh Ngo, Thai Nam Hoang and Mehmet Dik: Introduction to the Grey Systems Theory and Its Application in Mathematical Modelling and Pandemic Prediction of COVID-19 -- Mohammad Ali Akour and Shikhar Kumar Sarma: Developing an Intelligent Health Report Generating System -- Nasser Al-Salti, Ibrahim M. ELmojtaba, Maryam AlYahyai, Jaqueline Mesquita and Dayse Pastore: Recent Developments in the Mathematical Modelling and Analysis of Infectious Disease Problems (COVID-19) -- Americo Cunha Jr, Adriano Cortês, Roberto Velho and Rebecca E. Morrison: Uncertainty Quantification in Epidemiological Compartmental Models -- Jorge Fernando Camacho and Cruz Vargas-De-León: Conserved Quantities in Epidemic Systems for the Spread of the Coronavirus Disease -- Rashmi Bhardwaj and Debabrata Datta: Development of Epidemiological Modeling RD_COVID-19 of Coronavirus Infectious Disease and its Numerical Simulation -- Anka Trajkovska Petkoska and Anita Trajkovska: Mediterranean Diet for Boosting Immunity -- Jochen Merker: Rate-Dependent Tipping Phenomena in Compartment Models of Epidemics -- Olumuyiwa James Peter, Tolulope Latunde and Adejimi Adesola Adeniji: Mathematical Modelling and Analysis for Prediction of COVID-19 Transmission and Control -- Alexander Kreinin, Oleksandr Romanko, Rafael Mendoza, Hamed Rasouli, and Curt Burmeister: Analysis of Impact of COVID-19 Pandemic on Financial Markets -- Ferenc A. Bartha, Ferenc A. Bartha, Janos Karsai, Gergely Rost and Tamas Tekeli: The Effects of Symptom-based Testing -- Altaf H. Khan: Challenges in Modeling of an Outbreak's Prediction, Forecasting and Decision Making for Policy Makers -- PART-2 COUNTRY-SPECIFIC ANALYSIS: Iván Area, Juan J. Nieto, Cristiana J. Silva and Delfim F. M. Torres: Optimal Control of COVID-19: A Case Study in Portugal -- Ludmila Kirianova, Temirkhan Aleroev and Vladimir Griguletskiy: The Fractional Diffusion Equation as a Mathematical Model of Morbidity and Mortality Rates in the Russian Federation -- Juan E. Santos, Jose M. Carcione, Gabriela B. Savioli and Patricia M. Gauzellino: An SEIR Epidemic Model of Fractional Order to Analyze the Evolution of the COVID-19 Epidemic in Argentina -- Su Yean Teh and Hock Lye Koh: Modeling Effectiveness of Partial Lockdown in Breaking COVID-19 Transmission Chain in Malaysia -- G. Bhuju, G. R. Phaijoo and D. B. Gurung: Mathematical Analysis of COVID-19 in Nepal -- Subhas Khajanchi, Kankan Sarkar and Sandip Banerjee: Transmission Dynamics of the COVID-19 Outbreak and Implementation of Intervention Strategies in India -- Alya Saif Al Shehhia, Abdessamad Tridanea, Sabir Bin Muzaffarb and Gulfaraz Khan: Systematic Review of the Mathematical Modeling of Coronaviruses in the Middle East -- Hasan Soyler: Dynamic Simulation and Scenario Analysis of Spreading COVID-19 Pandemic in Turkey. Tipo de medio : Computadora Summary : This edited volume is a collection of selected research articles discussing the analysis of infectious diseases by using mathematical modelling in recent times. Divided into two parts, the book gives a general and country-wise analysis of Covid-19. Analytical and numerical techniques for virus models are presented along with the application of mathematical modelling in the analysis of their spreading rates and treatments. The book also includes applications of fractional differential equations as well as ordinary, partial and integrodifferential equations with optimization methods. Probability distribution and their bio-mathematical applications have also been studied. This book is a valuable resource for researchers, scholars, biomathematicians and medical experts. Enlace de acceso : https://link-springer-com.biblioproxy.umanizales.edu.co/referencework/10.1007/97 [...] Analysis of Infectious Disease Problems (Covid-19) and Their Global Impact [documento electrónico] / Agarwal, Praveen, ; Nieto, Juan J., ; Ruzhansky, Michael, ; Torres, Delfim F. M.,  . -  1 ed.  . - Singapore [Malasia] : Springer, 2021 . - XXIV, 627 p. 253 ilustraciones, 236 ilustraciones en color. ISBN : 978-981-1624506-- Libro disponible en la plataforma SpringerLink. Descarga y lectura en formatos PDF, HTML y ePub. Descarga completa o por capítulos. Idioma : Inglés (eng) Palabras clave: Modelos matemáticos  Medicina Preventiva  Promoción de la salud  Modelización Matemática y Matemática Industrial  Promoción de la salud y prevención de enfermedades Clasificación: 003.3 Resumen: Este volumen editado es una colección de artículos de investigación seleccionados que analizan el análisis de enfermedades infecciosas mediante el uso de modelos matemáticos en los últimos tiempos. Dividido en dos partes, el libro ofrece un análisis general y nacional del Covid-19. Se presentan técnicas analíticas y numéricas para modelos de virus junto con la aplicación de modelos matemáticos en el análisis de sus tasas de propagación y tratamientos. El libro también incluye aplicaciones de ecuaciones diferenciales fraccionarias, así como ecuaciones ordinarias, parciales e integrodiferenciales con métodos de optimización. También se ha estudiado la distribución de probabilidad y sus aplicaciones biomatemáticas. Este libro es un recurso valioso para investigadores, académicos, biomatemáticos y expertos médicos. Nota de contenido: PART-1 GENERAL ANALYSIS: Arni S.R. Srinivasa Rao and Steven G. Krantz:Mathematical Models for Understanding Social Distancing Measures: General Setting and Analysis -- A. Lamrani Alaoui, M. Tilioua, M. R. Sidi and P. Agarwal: Dynamical Analysis of a Caputo Fractional Order SIR Epidemic Model with General Treatment Function -- Zalimkhan Nagoev, Viktor Narozhnov, Arsen Pskhu, and Sergo Rekhviashvili: Protective Face Shield Effectiveness: Mathematical Modelling -- Jonathan Blackledge: The Biodynamics Hypothesis and its Applications for the Mathematical Modelling of Biological Growth and the Analysis of Infectious Diseases -- Saratha Sathasivam, Teoh Poh Lin and Woon Le Yu: Modelling the Dynamics of Fake News Spreading Transmission During COVID-19 Through Social Media -- Renaud Di Francesco: Agent Based Model for COVID-19 Active Propagation Through Interaction: Use Cases of Elderly Care Homes, Households in Lockdown and Large Events -- Emmanuel Afolabi Bakare: Analysis of Optimal Control AgainstAge-Structured Hepatitis-B Virus Model -- Daniele Ritelli: Generalized Logistic Equations in COVID Epidemic Models -- Mohd Aman and Bushra Miftah:Impact on the Transition of Shared Mobility in Metro Cities in India: A Challenge Post-Lockdown of COVID-19 -- Abdelmajid Belafhal, S. Chib and Talha Usman: Analysis of COVID-19 Virus Spreading Statistics by the Use of a New Modified Weibull Distribution -- Redouane Qesmi and Aayah Hammoumi: From Finite to Infinite Dimensional Epidemic Models for COVID-19: Lockdown and Lifting Control Measures -- Malú Grave, Rodrigo Bird Burgos, Lisandro Lovisolo and Americo Cunha Jr: Data-Driven Graphical Analysis of Epidemic Trends -- Hoang Anh Ngo, Thai Nam Hoang and Mehmet Dik: Introduction to the Grey Systems Theory and Its Application in Mathematical Modelling and Pandemic Prediction of COVID-19 -- Mohammad Ali Akour and Shikhar Kumar Sarma: Developing an Intelligent Health Report Generating System -- Nasser Al-Salti, Ibrahim M. ELmojtaba, Maryam AlYahyai, Jaqueline Mesquita and Dayse Pastore: Recent Developments in the Mathematical Modelling and Analysis of Infectious Disease Problems (COVID-19) -- Americo Cunha Jr, Adriano Cortês, Roberto Velho and Rebecca E. Morrison: Uncertainty Quantification in Epidemiological Compartmental Models -- Jorge Fernando Camacho and Cruz Vargas-De-León: Conserved Quantities in Epidemic Systems for the Spread of the Coronavirus Disease -- Rashmi Bhardwaj and Debabrata Datta: Development of Epidemiological Modeling RD_COVID-19 of Coronavirus Infectious Disease and its Numerical Simulation -- Anka Trajkovska Petkoska and Anita Trajkovska: Mediterranean Diet for Boosting Immunity -- Jochen Merker: Rate-Dependent Tipping Phenomena in Compartment Models of Epidemics -- Olumuyiwa James Peter, Tolulope Latunde and Adejimi Adesola Adeniji: Mathematical Modelling and Analysis for Prediction of COVID-19 Transmission and Control -- Alexander Kreinin, Oleksandr Romanko, Rafael Mendoza, Hamed Rasouli, and Curt Burmeister: Analysis of Impact of COVID-19 Pandemic on Financial Markets -- Ferenc A. Bartha, Ferenc A. Bartha, Janos Karsai, Gergely Rost and Tamas Tekeli: The Effects of Symptom-based Testing -- Altaf H. Khan: Challenges in Modeling of an Outbreak's Prediction, Forecasting and Decision Making for Policy Makers -- PART-2 COUNTRY-SPECIFIC ANALYSIS: Iván Area, Juan J. Nieto, Cristiana J. Silva and Delfim F. M. Torres: Optimal Control of COVID-19: A Case Study in Portugal -- Ludmila Kirianova, Temirkhan Aleroev and Vladimir Griguletskiy: The Fractional Diffusion Equation as a Mathematical Model of Morbidity and Mortality Rates in the Russian Federation -- Juan E. Santos, Jose M. Carcione, Gabriela B. Savioli and Patricia M. Gauzellino: An SEIR Epidemic Model of Fractional Order to Analyze the Evolution of the COVID-19 Epidemic in Argentina -- Su Yean Teh and Hock Lye Koh: Modeling Effectiveness of Partial Lockdown in Breaking COVID-19 Transmission Chain in Malaysia -- G. Bhuju, G. R. Phaijoo and D. B. Gurung: Mathematical Analysis of COVID-19 in Nepal -- Subhas Khajanchi, Kankan Sarkar and Sandip Banerjee: Transmission Dynamics of the COVID-19 Outbreak and Implementation of Intervention Strategies in India -- Alya Saif Al Shehhia, Abdessamad Tridanea, Sabir Bin Muzaffarb and Gulfaraz Khan: Systematic Review of the Mathematical Modeling of Coronaviruses in the Middle East -- Hasan Soyler: Dynamic Simulation and Scenario Analysis of Spreading COVID-19 Pandemic in Turkey. Tipo de medio : Computadora Summary : This edited volume is a collection of selected research articles discussing the analysis of infectious diseases by using mathematical modelling in recent times. Divided into two parts, the book gives a general and country-wise analysis of Covid-19. Analytical and numerical techniques for virus models are presented along with the application of mathematical modelling in the analysis of their spreading rates and treatments. The book also includes applications of fractional differential equations as well as ordinary, partial and integrodifferential equations with optimization methods. Probability distribution and their bio-mathematical applications have also been studied. This book is a valuable resource for researchers, scholars, biomathematicians and medical experts. Enlace de acceso : https://link-springer-com.biblioproxy.umanizales.edu.co/referencework/10.1007/97 [...]

The Variable-Order Fractional Calculus of Variations / Almeida, Ricardo  

Público ISBD Ningún comentario para este registro. Título : The Variable-Order Fractional Calculus of Variations Tipo de documento: documento electrónico Autores: Almeida, Ricardo, ; Tavares, Dina, ; Torres, Delfim F. M., Mención de edición: 1 ed. Editorial: [s.l.] : Springer Fecha de publicación: 2019 Número de páginas: XIV, 124 p. 12 ilustraciones, 11 ilustraciones en color. ISBN/ISSN/DL: 978-3-319-94006-9 Nota general: Libro disponible en la plataforma SpringerLink. Descarga y lectura en formatos PDF, HTML y ePub. Descarga completa o por capítulos. Idioma : Inglés (eng) Palabras clave: Matemáticas de ingeniería  Optimización matemática  Cálculo de variaciones  Análisis matemático  Cálculo de variaciones y optimización  Transformaciones Integrales y Cálculo Operacional Clasificación: 62.000.151 Resumen: El Cálculo fraccional de variaciones de orden variable está dedicado al estudio de operadores fraccionarios de orden variable y, en particular, problemas variacionales que involucran operadores de orden variable. Este resumen presenta una nueva herramienta numérica para la solución de ecuaciones diferenciales que involucran derivadas de Caputo de orden de variable fraccionaria. Se consideran tres operadores fraccionarios de tipo Caputo y para cada uno se obtiene una fórmula de aproximación en términos de derivadas estándar (de orden entero) únicamente. También se proporcionan estimaciones del error de las aproximaciones. Los contribuyentes consideran problemas variacionales que pueden estar sujetos a una o más restricciones, donde el funcional depende de una derivada de Caputo combinada de orden fraccionario variable. En particular, establecen condiciones de optimización necesarias del tipo Euler-Lagrange. Como el punto terminal en la integral de costos es libre, al igual que el estado terminal, también se obtienen condiciones de transversalidad. El Cálculo Fraccionado de Variaciones de Orden Variable es una valiosa fuente de información para investigadores en matemáticas, física, ingeniería, control y optimización; Proporciona métodos tanto analíticos como numéricos para abordar problemas variacionales. También es de interés para académicos y postgraduados en estos campos, ya que resuelve múltiples problemas variacionales sujetos a una o más restricciones en un solo informe. Nota de contenido: Fractional Calculus -- The Calculus of Variations -- Expansion Formulas for Fractional Derivatives -- The Fractional Calculus of Variations. Tipo de medio : Computadora Summary : The Variable-Order Fractional Calculus of Variations is devoted to the study of fractional operators with variable order and, in particular, variational problems involving variable-order operators. This brief presents a new numerical tool for the solution of differential equations involving Caputo derivatives of fractional variable order. Three Caputo-type fractional operators are considered, and for each one, an approximation formula is obtained in terms of standard (integer-order) derivatives only. Estimations for the error of the approximations are also provided. The contributors consider variational problems that may be subject to one or more constraints, where the functional depends on a combined Caputo derivative of variable fractional order. In particular, they establish necessary optimality conditions of Euler–Lagrange type. As the terminal point in the cost integral is free, as is the terminal state, transversality conditions are also obtained. The Variable-Order Fractional Calculus of Variations is a valuable source of information for researchers in mathematics, physics, engineering, control and optimization; it provides both analytical and numerical methods to deal with variational problems. It is also of interest to academics and postgraduates in these fields, as it solves multiple variational problems subject to one or more constraints in a single brief. Enlace de acceso : https://link-springer-com.biblioproxy.umanizales.edu.co/referencework/10.1007/97 [...] The Variable-Order Fractional Calculus of Variations [documento electrónico] / Almeida, Ricardo, ; Tavares, Dina, ; Torres, Delfim F. M.,  . -  1 ed.  . - [s.l.] : Springer, 2019 . - XIV, 124 p. 12 ilustraciones, 11 ilustraciones en color. ISBN : 978-3-319-94006-9 Libro disponible en la plataforma SpringerLink. Descarga y lectura en formatos PDF, HTML y ePub. Descarga completa o por capítulos. Idioma : Inglés (eng) Palabras clave: Matemáticas de ingeniería  Optimización matemática  Cálculo de variaciones  Análisis matemático  Cálculo de variaciones y optimización  Transformaciones Integrales y Cálculo Operacional Clasificación: 62.000.151 Resumen: El Cálculo fraccional de variaciones de orden variable está dedicado al estudio de operadores fraccionarios de orden variable y, en particular, problemas variacionales que involucran operadores de orden variable. Este resumen presenta una nueva herramienta numérica para la solución de ecuaciones diferenciales que involucran derivadas de Caputo de orden de variable fraccionaria. Se consideran tres operadores fraccionarios de tipo Caputo y para cada uno se obtiene una fórmula de aproximación en términos de derivadas estándar (de orden entero) únicamente. También se proporcionan estimaciones del error de las aproximaciones. Los contribuyentes consideran problemas variacionales que pueden estar sujetos a una o más restricciones, donde el funcional depende de una derivada de Caputo combinada de orden fraccionario variable. En particular, establecen condiciones de optimización necesarias del tipo Euler-Lagrange. Como el punto terminal en la integral de costos es libre, al igual que el estado terminal, también se obtienen condiciones de transversalidad. El Cálculo Fraccionado de Variaciones de Orden Variable es una valiosa fuente de información para investigadores en matemáticas, física, ingeniería, control y optimización; Proporciona métodos tanto analíticos como numéricos para abordar problemas variacionales. También es de interés para académicos y postgraduados en estos campos, ya que resuelve múltiples problemas variacionales sujetos a una o más restricciones en un solo informe. Nota de contenido: Fractional Calculus -- The Calculus of Variations -- Expansion Formulas for Fractional Derivatives -- The Fractional Calculus of Variations. Tipo de medio : Computadora Summary : The Variable-Order Fractional Calculus of Variations is devoted to the study of fractional operators with variable order and, in particular, variational problems involving variable-order operators. This brief presents a new numerical tool for the solution of differential equations involving Caputo derivatives of fractional variable order. Three Caputo-type fractional operators are considered, and for each one, an approximation formula is obtained in terms of standard (integer-order) derivatives only. Estimations for the error of the approximations are also provided. The contributors consider variational problems that may be subject to one or more constraints, where the functional depends on a combined Caputo derivative of variable fractional order. In particular, they establish necessary optimality conditions of Euler–Lagrange type. As the terminal point in the cost integral is free, as is the terminal state, transversality conditions are also obtained. The Variable-Order Fractional Calculus of Variations is a valuable source of information for researchers in mathematics, physics, engineering, control and optimization; it provides both analytical and numerical methods to deal with variational problems. It is also of interest to academics and postgraduates in these fields, as it solves multiple variational problems subject to one or more constraints in a single brief. Enlace de acceso : https://link-springer-com.biblioproxy.umanizales.edu.co/referencework/10.1007/97 [...]

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