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References Readings and References

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Gregory V. Bard. Sage for Undergraduates. American Mathematical Society, Providence, 2015.
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Paul Blanchard, Robert L. Devaney, & Glen R. Hall. Differential Equations, third edition. Brooks/Cole, Pacific Grove, CA, 2006.
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Robert L. Borrelli & Courtney S. Coleman. Differential Equations: A Modeling Perspective, Second edition. John Wiley & Sons, New York, 2004.
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William E. Boyce & Richard C. Diprima. Elementary Differential Equations and Boundary Value Problems, Eighth edition. John Wiley & Sons, New York, 2005.
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Brauer, F. & C. Castillo-Chávez. Mathematical Models in Population Biology and Epidemiology, Texts in Applied Mathematics 40. Springer, New York, 2001.
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Martin Braun. Differential Equations and Their Applications: An Introduction to Applied Mathematics, Fourth edition. Springer-Verlag, New York, 1992.
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Nicholas Britton. Essential Mathematical Biology. Springer Undergraduate Series. Springer, New York, 2003.
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Richard L. Burden & Douglas Faires. Numerical Analysis, Eighth edition Brooks/Cole, Pacific Grove, CA, 2005.
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Ward Cheney & David Kincaid. Numerical Mathematics and Computing. Fifth edition. Brooks/Cole, Pacific Grove, CA, 2004.
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C. Henry Edwards & David E. Penney. Elementary Differential Equations with Boundary Value Problems. Fifth edition. Prentice Hall, Upper Saddle River, NJ, 2004.
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Morris W. Hirsch, Stephen Smale, & Robert L. Devaney. Differential Equations, Dynamical Systems, & an Introduction to Chaos, Second edition. Academic Press, San Diego, 2004.
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A. C. Lazer and P. J. McKenna. Large amplitude periodic oscillations in suspension bridges: some new connections with nonlinear analysis, SIAM Review 32(1990) 537–578.
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Edward N. Lorenz. “Deterministic nonperiodic flow,” Journal of Atomospheric Science 20(1963), pp. 130–141.
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P. J. McKenna. Large torsional oscillations in suspension bridges revisited: fixing an old approximation, American Mathematical Monthly 106(1999) 1–18.
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P. J. McKenna and Cillian Ò Tuama. Large torsional oscillations in suspension bridges visited again: vertical forcing creates torsional response, American Mathematical Monthly 108(2001) 738–745.
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Perelson, A. S. & P. W. Nelson. “Modeling Viral Infections” in An Introduction to Mathematical Modeling in Physiology, Cell Biology, and Immunology. American Mathematical Society, Providence, 2002.
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John Polking, Albert Boggess, & David Arnold. Differential Equations with Boundary Value Problems, second edition. Prentice Hall, Upper Saddle River, NJ, 2006.
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Clifford Henry Taubes. Modeling Differential Equations in Biology, second edition. Cambridge University Press, Cambridge, U.K., 2008.