B - For Further Reading

Summary

For further study, there are many textbooks focusing on mathematical models in biology. They generally assume a solid knowledge of calculus and some differential equations and linear algebra, though sections may be read by those with less mathematical background. Among the books covering a variety of biological topics are:

• Leah Edelstein-Keshet. Mathematical Models in Biology. McGraw-Hill, New York, 1988.

• Frank C. Hoppenstaedt and Charles S. Peskin. Modeling and Simulation in Medicine and the Life Sciences. Springer, New York, second edition, 2002.

• J. Mazumdar. An Introduction to Mathematical Physiology and Biology. Cambridge University Press, Cambridge, second edition, 1999.

• James D. Murray. Mathematical Biology I: An Introduction and Mathematical Biology II: Spatial Models and Biomedical Applications. Springer, New York, third edition, 2002.

• Clifford Taubes. Modeling Differential Equations in Biology. Prentice Hall, Upper Saddle River, NJ, 2001.

• S. I. Rubinow. Introduction to Mathematical Biology. John Wiley, New York, 1975.

• E. Yeargers, R. Shonkwiler, and J. Herod. An Introduction to the Mathematics of Biology: With Computer Algebra Models. Birkhauser, Boston, 1996.

For linear models, including ones using differential equations, recommended books are:

• Hal Caswell. Matrix Population Models: Construction, Analysis, and Interpretation. Sinauer Associates, Sunderland, MA, 1989.

• Michael R. Cullen. Linear Models in Biology. Ellis Horwood, Chichester, England, 1985.

In addition to sections of the books above, infectious disease models have been the focus of a number of texts and survey papers:

• L. J. S. Allen. Some discrete-time SI, SIR, and SIS epidemic models. Math. Biosci., 124:83–105, 1994.

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