Mathematical Modeling: An Introduction - Brossura

Layton, William

Brossura

ISBN 10: 1387589423 ISBN 13: 9781387589425

Casa editrice: Lulu.com, 2022

Riassunto

This book introduces modeling by a collection of ordinary differential or difference equations, calibrating the equations against data, checking quantitative predictions against events and understanding the qualitative patterns suggested by the model. One term of differential calculus is enough to get started and two terms are enough to finish. The topics covered are: Richardson's Model of Arms Races, Phase Portraits: Sketching the Phase Plane, Numerical Methods for Initial Value Problems, Modeling Population: Malthus' exponential model, growth rates, the Logistic Model, Discrete Time Reproduction Models, Overshoot and collapse models, Errors: Regression, Conditioning, Sensitivity and Predictability in Models, The Lotka-Volterra Model: Population Oscillations, Conservative Systems, Harvesting, General Models of Interacting Populations, Epidemics: SIR Models, Temporary Immunity, Latency and Asymptomatic Carriers, Persistent Oscillations: Limit cycles, Examples via polar coordinates, Poincaré-Bendixon Theory, Hopf bifurcations, Oscillations in the Holling-Tanner Model: The Development of Predator-Prey Models, Analysis of the Holling-Tanner model, Testing the model, and Business Cycles: Business cycle theories, basic difficulties, Goodwin's model, Conclusions from Goodwin's model.

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Informazioni sull?autore

William Layton is a Professor of Mathematics at the University of Pittsburgh. This book was developed over 20+ years with topics selected based on the interests of students.

Dettagli dell'edizione

• Editore: Lulu.com
• Data di pubblicazione: 2022
• Lingua: Inglese
• ISBN 10: 1387589423
• ISBN 13: 9781387589425
• Rilegatura: Copertina flessibile
• Numero di pagine: 232
• Contatto del produttore: non disponibile
• Persona responsabile: HACHETTE LIVRE SA; https://www.hachette.fr/; ; 1 AVENUE GUTENBERG; MAUREPAS CEDEX; 78319; Francia