Mathematical Modeling for Epidemiology and Ecology

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

“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)

• 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.