A ratio-dependent food chain model and its applications to biological control.

  title={A ratio-dependent food chain model and its applications to biological control.},
  author={S. B. Hsu and Tzy-Wei Hwang and Yang Kuang},
  journal={Mathematical biosciences},
  volume={181 1},
While biological controls have been successfully and frequently implemented by nature and human, plausible mathematical models are yet to be found to explain the often observed deterministic extinctions of both pest and control agent in such processes. In this paper we study a three trophic level food chain model with ratio-dependent Michaelis-Menten type functional responses. We shall show that this model is rich in boundary dynamics and is capable of generating such extinction dynamics. Two… CONTINUE READING

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