Allman E.S., Rhodes J.A. Mathematical Models in Biology: An Introduction

Cambridge University Press, 2003. — 384 p.Focusing on discrete models across a variety of biological subdisciplines, this introductory textbook includes linear and non-linear models of populations, Markov models of molecular evolution, phylogenetic tree construction from DNA sequence data, genetics, and infectious disease models. Assuming no knowledge of calculus, the development of mathematical topics, such as matrix algebra and basic probability, is motivated by the biological models. Computer research with MatLAB is incorporated throughout in exercises and more extensive projects to provide readers with actual experience with the mathematical models.Dynamic modeling with different equations
Linear models of structured populations
Non-linear models of interactions
Modeling molecular evolution
Constructing phylogenic trees
Genetics
Infectious disease modeling
Curve fitting and biological modeling
Appendix. Basic analysis of numerical data
Appendix. For further reading.