
Mathematical Analysis of Infectious Diseases
- 1st Edition - June 1, 2022
- Imprint: Academic Press
- Editors: Praveen Agarwal, Juan J. Nieto, Delfim F.M. Torres
- Language: English
- Paperback ISBN:9 7 8 - 0 - 3 2 3 - 9 0 5 0 4 - 6
- eBook ISBN:9 7 8 - 0 - 3 2 3 - 9 0 4 5 8 - 2
Mathematical Analysis of Infectious Diseases updates on the mathematical and epidemiological analysis of infectious diseases. Epidemic mathematical modeling and analysis is import… Read more
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Mathematical Analysis of Infectious Diseases updates on the mathematical and epidemiological analysis of infectious diseases. Epidemic mathematical modeling and analysis is important, not only to understand disease progression, but also to provide predictions about the evolution of disease. One of the main focuses of the book is the transmission dynamics of the infectious diseases like COVID-19 and the intervention strategies. It also discusses optimal control strategies like vaccination and plasma transfusion and their potential effectiveness on infections using compartmental and mathematical models in epidemiology like SI, SIR, SICA, and SEIR.
The book also covers topics like: biodynamic hypothesis and its application for the mathematical modeling of biological growth and the analysis of infectious diseases, mathematical modeling and analysis of diagnosis rate effects and prediction of viruses, data-driven graphical analysis of epidemic trends, dynamic simulation and scenario analysis of the spread of diseases, and the systematic review of the mathematical modeling of infectious disease like coronaviruses.
- Offers analytical and numerical techniques for virus models
- Discusses mathematical modeling and its applications in treating infectious diseases or analyzing their spreading rates
- Covers the application of differential equations for analyzing disease problems
- Examines probability distribution and bio-mathematical applications
1. Spatiotemporal Dynamics Of The First Wave Of The Covid-19 Epidemic In Brazil
Marat Rafikov, J.M.V. Grzybowski and Roberto Valmir Da Silva
2. Transport And Optimal Control Of Vaccination Dynamics For Covid-19
Delfim F. M. Torres, Mohamed Abdelaziz Zaitri and Mohand Ouamer Bibi
3. COVID-19’s Pandemic: A New Way Of Thinking Through Linear Combinations Of Proportions
Cristiana J. Silva, Juliana Dias Reis, Adelaide Freitas and Sara Escudeiro
4. Stochastic Sica Epidemic Model With Jump L\'Evy Processes
Delfim F. M. Torres, Houssine Zine and Jaouad Dananeb
5. Examining The Correlation Between The Weather Conditions And Covid-19 Pandemic In Galicia
Luca Piccotti Sr., Guido Ignacio Novoa Flores and Juan J. Nieto
6. A Fractional-Order Malaria Model With Temporary Immunity
Ram Singh and Attiq Ul Rehman
7. Parameter Identification In Epidemiological Models
Ana Carpio and Emile Pierret
8. Lyapunov Functions And Stability Analysis Of Fractional-Order Systems
Adnane Boukhouima, Houssine Zineb, El Mehdi Lotfia, Marouane Mahroufa, Delfim F. M. Torres and Noura Yousfi
9. Some Key Concepts Of Mathematical Epidemiology
Jaafar El Karkri and Mohammed Benmir
10. Analytical Solutions And Parameter Estimation Of The Sir Epidemic Model
Dimiter Prodanov
11. Global Stability of a Diffusive SEIR Epidemic Model with Distributed Delay
Abdesslem Lamrani Alaoui, Moulay Rchid Sidi Ammi, Mouhcine Tilioua and Delfim F. M. Torres
12. Application Of Fractional Order Differential Equations In Modeling Viral Disease Transmission
Shahram Rezapour and Hakimeh Mohammadi
13. Role Of Immune Effector Responses During Hcv Infection: A Mathematical Study
Fahad Al Basir and Amar Nath Chatterjee
14. Modeling The Impact Of Isolation During An Outbreak Of Ebola Virus Disease
Amira Rachah
15. Application Of The Stochastic Arithmetic To Validate The Results Of Nonlinear Fractional Model Of Hiv Infection For Cd8+T-Cells
Samad Noeiaghdam and Denis Sidorov
16. Existence Of Solutions Of Modified Fractional Integral Equation Models For Endemic Infectious Diseases
Hemant Kumar Nashine, Rabha W. Ibrahim and Reena Jain
17. Numerical solution of a fractional epidemic model via general Lagrange scaling functions with bibliometric analysis
Yadollah Ordokhani and Sedigheh Sabermahani
- Edition: 1
- Published: June 1, 2022
- Imprint: Academic Press
- Language: English
PA
Praveen Agarwal
JN
Juan J. Nieto
DT