Mathematical Models In Biology: Solution Manual

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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.

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Solution Manual for Mathematical Models in Biology: An Introduction Elizabeth S. Allman John A. Rhodes Cambridge University Press, 2003 c 2003, Elizabeth S. Allman and John A. Rhodes Preface Despite our best efforts, there is little chance that these solutions are error-free. Please let us know of any mistakes you find, so that we can correct them. Special thanks to the public libraries of Berlin, Maryland; Columbia, North Carolina; and Clarksville, Virginia for their hospitality, and to the governments and private benefactors that fund them. They allowed these solutions to be written under more pleasant conditions than we expect most students will experience. Elizabeth Allman [email protected] John Rhodes [email protected] Assateague Island, Maryland Cape Hatteras, North Carolina Buggs Island Lake, Virginia ii Contents Preface ii Chapter 1. Dynamic Modeling with Difference Equations 1.1. The Malthusian Model 1.2. Nonlinear Models 1.3. Analyzing N
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