Mathematical analysis for transmission of covid-19 / / edited by Nita H. Shah, Mandeep Mittal

• Pubblicazione: Singapore : , : Springer, , [2021]; ©2021
• Descrizione fisica: 1 online resource (366 pages) : illustrations
• Disciplina: 614.592414
• Soggetto topico: Engineering mathematics
• Persona (resp. second.): ShahNita H.; MittalMandeep <1978->
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Intro -- Contents -- About the Editors -- 1 Introduction to Compartmental Models in Epidemiology -- Introduction -- Simple Epidemic Models -- What Is Equilibrium Point and Its Existence? -- How to Compute Threshold or Basic Reproduction Number? -- How to Characterize Nature of Stability? -- What Is Bifurcation and What It Reflects? -- How to Optimize the Issue? -- Inside This Book -- References -- 2 Modelling the Impact of Nationwide BCG Vaccine Recommendations on COVID-19 Transmission, Severity and Mortality -- Introduction -- Mathematical Model -- Basic Reproduction Number -- Local Stability Analysis -- Sensitivity Analysis -- Numerical Simulation -- Conclusion -- References -- 3 Modeling the Spread of COVID-19 Among Doctors from the Asymptomatic Individuals -- Introduction -- Mathematical Model -- Analysis of the Compartmental Model -- Positivity Analysis -- Equilibrium Points -- Basic Reproduction Ratio -- Stability Analysis at DFE (Edfe) -- Stability Analysis at EE (Eee) -- Results and Discussion -- Conclusions -- References -- 4 Transmission Dynamics of Covid-19 from Environment with Red Zone, Orange Zone, Green Zone Using Mathematical Modelling -- Introduction -- Notations -- Mathematical Model -- Spectral Radius Ro -- Stability Analysis -- Local Stability -- Optimal Control Problem -- Numerical Simulation -- Conclusion -- References -- 5 A Comparative Study of COVID-19 Pandemic in Rajasthan, India -- Introduction -- Mathematical Modelling of COVID-19 -- Numerical Analysis -- Conclusion -- Annexure 1 -- Annexure 2 -- Annexure 3 -- Annexure 4 -- References -- 6 A Mathematical Model for COVID-19 in Italy with Possible Control Strategies -- Introduction -- The Mathematical Model -- Basic Properties -- Non-negativity of the Solution -- Boundedness of the Solution -- Disease Free Equilibrium and Basic Reproduction Number. ; Existence of Endemic Equilibrium -- Backward Bifurcation -- Stability Analysis -- Local Stability of Disease Free Equilibrium -- Global Stability of Disease Free Equilibrium -- Local Stability of Endemic Equilibrium -- Numerical Simulation and Model Fitting -- Game Changers -- Impact of Early Lock Down -- Impact of Rapid Isolation on Infected Individuals -- Conclusion -- References -- 7 Effective Lockdown and Plasma Therapy for COVID-19 -- Introduction -- Formulation of Mathematical Model -- Equilibrium Solutions -- Basic Reproduction Number -- Stability Analysis -- Optimal Control -- Numerical Simulation -- Conclusion -- References -- 8 Controlling the Transmission of COVID-19 Infection in Indian Districts: A Compartmental Modelling Approach -- Introduction -- Model Development -- Positivity and Boundedness of the Solution -- Basic Reproduction Number and Equilibrium Point -- Optimal Control Theory -- Numerical Simulation -- Conclusion -- References -- 9 Fractional SEIR Model for Modelling the Spread of COVID-19 in Namibia -- Introduction -- Conceptual Model -- Mathematical Analysis of the Conceptual Model -- Existence of Uniqueness of Solution and Continuously Dependency on the Data -- Positivity of Solution -- Equilibrium Points -- Reproductive Number -- Stability Analysis -- Construction of the Numerical Method -- Analysis of the Numerical Method -- Results and Discussion -- Concluding Remarks and Policy Recommendations -- References -- 10 Impact of COVID-19 in India and Its Metro Cities: A Statistical Approach -- Introduction -- Literature -- Data -- Methodology -- Results and Discussion -- Conclusion -- References -- 11 A Fractional-Order SEQAIR Model to Control the Transmission of nCOVID 19 -- Introduction -- Preliminary Results and Definitions -- Model Formulation -- Stability Results -- Endemic Equilibria. ; Existence and Uniqueness of Solution -- Numerical Results -- Simulation -- Conclusion -- References -- 12 Analysis of Novel Corona Virus (COVID-19) Pandemic with Fractional-Order Caputo-Fabrizio Operator and Impact of Vaccination -- Introduction -- Preliminaries -- Mathematical Formulation of COVID-19 Model -- Existence Criteria of CF Model (12.2) by Picard Approximation -- Equilibrium Points and Its Stability -- Stability Analysis via Iterative Scheme -- Numerical Simulations -- Fractional SEIRQ COVID-19 Model with Vaccination -- Conclusion -- References -- 13 Compartmental Modelling Approach for Accessing the Role of Non-Pharmaceutical Measures in the Spread of COVID-19 -- Introduction -- Model Formulation -- Description -- Well Orderedness -- Stability Analysis -- Disease-Free Equilibrium (E0) -- Basic Reproduction Number (R0) -- Local Stability of Disease-Free Equilibrium -- Endemic Equilibirum (E1) -- Local Stability of Endemic Equilibrium -- Sensitivity Analysis -- Conclusion -- References -- 14 Impact of 'COVID-19' on Education and Service Sectors -- Introduction -- Literature Review -- Review Aim -- Methods -- Design -- Respondents -- Tools -- Questionnaire -- Data Analysis -- Service Sector -- Education Sector -- Results and Discussion -- Service Sector -- Education Sector -- Conclusion and Future Scope -- References -- 15 Global Stability Analysis Through Graph Theory for Smartphone Usage During COVID-19 Pandemic -- Introduction -- Mathematical Model -- Stability -- Numerical Simulation -- Conclusion -- References -- 16 Modelling and Sensitivity Analysis of COVID-19 Under the Influence of Environmental Pollution -- Introduction -- Mathematical Model -- The Basic Reproduction Number -- Sensitivity Analysis -- Results and Discussion -- References -- 17 Bio-waste Management During COVID-19 -- Introduction -- Mathematical Modelling. ; Stability -- Local Stability -- Global Stability -- Optimal Control -- Numerical Simulation -- Conclusion -- References -- 18 Mathematical Modelling of COVID-19 in Pregnant Women and Newly Borns -- Introduction -- Proposed Mathematical Model Formulation in the Case of Pregnant Women -- Numerical Illustration -- Observation and Discussion -- Conclusions -- References -- 19 Sensor and IoT-Based Belt to Detect Distance and Temperature of COVID-19 Suspect -- Introduction -- Experimental Details -- Node MCU -- Programming Software -- Buzzer -- Smart Phone Application Software -- Ultrasonic Sensor -- Temperature Sensor -- Hardware Implementation -- Results and Discussion -- Distance Measurement -- Temperature Measurement -- Cost of the Setup -- Conclusions -- References.
• Titolo autorizzato: Mathematical analysis for transmission of covid-19
• ISBN: 981-336-264-2
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910484366403321
• Lo trovi qui: Univ. Federico II
• Serie: Mathematical Engineering