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B - For Further Reading

Published online by Cambridge University Press:  05 September 2012

Elizabeth S. Allman
Affiliation:
University of Southern Maine
John A. Rhodes
Affiliation:
Bates College, Maine
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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.

  • […]

Type
Chapter
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Mathematical Models in Biology
An Introduction
, pp. 362 - 364
Publisher: Cambridge University Press
Print publication year: 2003

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