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A Model Predator-Prey System with Mutual Interference and Time Delay

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Population Biology

Part of the book series: Lecture Notes in Biomathematics ((LNBM,volume 52))


The Gause predator-prey model (Freedman, 1980, Chapter 4) separates the specific growth rate of the prey from the predator functional response. Hassell (1971) and Rogers and Hassell (1974) introduced the notion of mutual interference of predators searching for prey. This idea was incorporated into the Gause predator-prey model in Freedman (1979). It was shown there that mutual interference is a “stabilizing” process.

This author wishes to acknowledge the Natural Sciences and Engineering Research Council of Canada, Grant No. NSERC A4823 for partially supporting the research in this paper.

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  • Freedman, H.I. (1979): Stability analysis of a predator-prey system with mutual interference and density-dependent death rates, Bui. Math. Biol. 41: 67–78.

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© 1983 Springer-Verlag Berlin Heidelberg

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Rao, V.S.H., Freedman, H.I. (1983). A Model Predator-Prey System with Mutual Interference and Time Delay. In: Freedman, H.I., Strobeck, C. (eds) Population Biology. Lecture Notes in Biomathematics, vol 52. Springer, Berlin, Heidelberg.

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12677-5

  • Online ISBN: 978-3-642-87893-0

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