Rabbits killing birds revisited

Mathematical Biosciences
Jimin ZhangYang Kuang

Abstract

We formulate and study a three-species population model consisting of an endemic prey (bird), an alien prey (rabbit) and an alien predator (cat). Our model overcomes several model construction problems in existing models. Moreover, our model generates richer, more reasonable and realistic dynamics. We explore the possible control strategies to save or restore the bird by controlling or eliminating the rabbit or the cat when the bird is endangered. We confirm the existence of the hyperpredation phenomenon, which is a big potential threat to most endemic prey. Specifically, we show that, in an endemic prey-alien prey-alien predator system, eradication of introduced predators such as the cat alone is not always the best solution to protect endemic insular prey since predator control may fail to protect the indigenous prey when the control of the introduced prey is not carried out simultaneously.

References

Oct 1, 1977·Theoretical Population Biology·R D Holt
Jul 27, 2001·Proceedings. Biological Sciences·C Jost, S P Ellner
Dec 26, 2001·Proceedings of the National Academy of Sciences of the United States of America·Gary W RoemerFranck Courchamp
May 17, 2003·Bulletin of Mathematical Biology·Yang KuangIrakli Loladze
Jul 7, 2005·Bulletin of Mathematical Biology·Meng FanZhilan Feng

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Citations

Sep 19, 2009·Journal of Theoretical Biology·Dominique PontierJoël Bried
Dec 21, 2011·Journal of Theoretical Biology·Andrew M Bate, Frank M Hilker
Apr 30, 2015·European Biophysics Journal : EBJ·Jie WangZichun Hua
Jul 15, 2016·Ecological Applications : a Publication of the Ecological Society of America·Christopher M Baker, Michael Bode

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