A mathematical modeling approach to infectious diseases cross diffusion PDE models for epidemiology

The intent of this book is to provide a methodology for the analysis of infectious diseases by computer-based mathematical models. The approach is based on ordinary differential equations (ODEs) that provide time variation of the model dependent variables and partial differential equations (PDEs) th...

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Bibliographic Details
Main Author: Schiesser, W. E. (Author)
Format: Book
Language:English
Published: New Jersey World Scientific 2018
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100 1 |a Schiesser, W. E.,  |e author. 
245 1 2 |a A mathematical modeling approach to infectious diseases  |b cross diffusion PDE models for epidemiology  |c William E. Schiesser. 
264 1 |a New Jersey  |b World Scientific  |c 2018 
300 |a xii, 447 pages  |b illustrations  |c 24 cm. 
336 |a text  |2 rdacontent 
337 |a unmediated  |2 rdamedia 
338 |a volume  |2 rdacarrier 
504 |a Includes bibliographical references and index. 
520 |a The intent of this book is to provide a methodology for the analysis of infectious diseases by computer-based mathematical models. The approach is based on ordinary differential equations (ODEs) that provide time variation of the model dependent variables and partial differential equations (PDEs) that provide time and spatial (spatiotemporal) variations of the model dependent variables.The starting point is a basic ODE SIR (Susceptible Infected Recovered) model that defines the S, I, R populations as a function of time The ODE/PDE methodology is open ended and facilitates the development of computer-based models which hopefully can elucidate the causes/conditions of infectious disease evolution and suggest methods of control. 
592 |a 37706  |b 26/08/2019  |c RM 387.95  |h Bookline 
650 0 |a Epidemiology  |x Mathematical models. 
650 0 |a Epidemiology  |x Statistical methods. 
650 0 |a Communicable diseases  |x Epidemiology  |x Mathematical models. 
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