Mathematical Modeling for Epidemiology and Ecology

Glenn Ledder is Professor Emeritus of Mathematics at the University of Nebraska.

• Part I Mathematical Modeling.- 1 Modeling in Biology.- 2 Empirical Modeling.- 3 Mechanistic Modeling. Part II Dynamical Systems.- 4 Dynamics of Single Populations.- 5 Discrete Linear Systems.- 6 Nonlinear Dynamical Systems.- Appendix A. Using Matlab and Octave.- Appendix B. Derivatives and Differentiation.- Appendix C. Nonlinear Optimization.- Appendix D. A Runge-Kutta Method for Numerical Solution of Differential Equations.- Appendix E. Scales and Dimensionless Parameters.- Appendix F. Approximating a Nonlinear System at an Equilibrium Point.- Appendix G. Best Practices in the Use of Algebra.- Hints and Answers to Selected Problems.- Index.

“This lovely book is referred to as the second edition of Mathematical Modeling for Epidemiology and Ecology. … The book is written with exceptional care and attention to detail, the presentation is very friendly and precise. … The second edition of Mathematical Modeling for Epidemiology and Ecology can be used in many forms, both as a textbook for a specialized course and as a supplement to a wide variety of courses … .” (Yuriy V. Rogovchenko, zbMATH 1534.92002, 2024)“This is a well-written book, highly suitable for applied math undergraduate students.” (Stephanie Abo, Chi-Chung Cheung, Ryth Dasgupta, Pritha Dutta, Shervin Hakimi, Amandeep Kaur, Anita T. Layton, Mehrshad Sadria, Melissa Stadt, Vasu Swaroop and Kaixin Zheng)