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Part of the book series: Texts in Applied Mathematics ((TAM,volume 40))

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Abstract

In the 1920s Vito Volterra was asked if it were possible to explain the fluctuations which had been observed in the fish population of the Adriatic sea—fluctuations which were of great concern to fishermen in times of low fish populations. Volterra (1926) constructed the model which has become known as the Lotka-Volterra model (because A.J. Lotka (1925) constructed a similar model in a different context about the same time), based on the assumptions that fish and sharks were in a predator-prey relationship.

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© 2001 Springer Science+Business Media New York

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Brauer, F., Castillo-Chávez, C. (2001). Introduction and Mathematical Preliminaries. In: Mathematical Models in Population Biology and Epidemiology. Texts in Applied Mathematics, vol 40. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3516-1_4

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  • DOI: https://doi.org/10.1007/978-1-4757-3516-1_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-3182-5

  • Online ISBN: 978-1-4757-3516-1

  • eBook Packages: Springer Book Archive

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