Mathematical modeling for epidemiology and ecology / Glenn Ledder.

Mathematical Modeling for Epidemiology and Ecology provides readers with the mathematical tools needed to understand and use mathematical models and read advanced mathematical biology books. It presents mathematics in biological contexts, focusing on the central mathematical ideas and the biological...

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Bibliographic Details
Main Author: Ledder, Glenn (Author)
Format: eBook
Language:English
Published: Cham : Springer, [2023]
Edition:Second edition.
Series:Springer undergraduate texts in mathematics and technology.
Subjects:
Online Access:Click for online access
Table of Contents:
  • 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.