Chapters in this book

1. Frontmatter i
2. Contents v
3. Preface ix
4. Chapter 1: Mathematical Modeling in Biology 1
5. Chapter 2: How to Construct a Model 17
6. Chapter 3: Deriving Classic Models in Ecology and Evolutionary Biology 54
7. Chapter 4: Numerical and Graphical Techniques–Developing a Feeling for Your Model 110
8. Chapter 5: Equilibria and Stability Analyses–One-Variable Models 151
9. Chapter 6: General Solutions and Transformations–One-Variable Models 191
10. Chapter 7: Equilibria and Stability Analyses–Linear Models with Multiple Variables 254
11. Chapter 8: Equilibria and Stability Analyses–Nonlinear Models with Multiple Variables 294
12. Chapter 9: General Solutions and Tranformations–Models with Multiple Variables 347
13. Chapter 10: Dynamics of Class-Structured Populations 386
14. Chapter 11: Techniques for Analyzing Models with Periodic Behavior 423
15. Chapter 12: Evolutionary Invasion Analysis 454
16. Chapter 13: Probabilistic Models 567
17. Chapter 14: Analyzing Discrete Stochastic Models 608
18. Chapter 15: Analyzing Continuous Stochastic Models–Diffusion in Time and Space 649
19. Epilogue: The Art of Mathematical Modeling in Biology 692
20. Appendix 1: Commonly Used Mathematical Rules 695
21. Appendix 2: Some Important Rules from Calculus 699
22. Appendix 3: The Perron-Frobenius Theorem 709
23. Appendix 4: Finding Maxima and Minima of Functions 713
24. Appendix 5: Moment-Generating Functions 717
25. Index of Definitions, Recipes, and Rules 725
26. General Index 727