7.9 Further Reading (Optional) » References and Additional Reading
Lotka-Volterra Equations: This is a standard topic in many differential equations texts, so there are quite a few good references to choose from:
- The wikipedia page on the Lotka-Volterra equations is quite clear and could be a good place to start.
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Barnes, Belinda, and Glenn Robert Fulford. Mathematical modelling with case studies: a differential equations approach using Maple and MATLAB. CRC Press, 2011. Chapter five has a nice discussion of the Lotka-Volterra equations and variants thereof.
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Berryman, Alan A. "The orgins and evolution of predator-prey theory." Ecology 73.5 (1992): 1530-1535. A short review article giving some of the history of the Lotka-Volterra equations. Also discusses the limits of the Lotka-Volterra approach to interacting populations. [pdf]