Mathematical Modeling for Epidemiology and Ecology
Each chapter contains additional case studies in the form of projects with detailed directions. New appendices contain mathematical details on optimization, numerical solution of differential equations, scaling, linearization, and sophisticated use of elementary algebra to simplify problems
| Main Author: | |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2023, 2023
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| Edition: | 2nd ed. 2023 |
| Series: | Springer Undergraduate Texts in Mathematics and Technology
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
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