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

@article{Hsu2003ARF,
  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},
  year={2003},
  volume={181 1},
  pages={55-83}
}
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

From This Paper

Figures, tables, and topics from this paper.

Citations

Publications citing this paper.
Showing 1-10 of 33 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 42 references

Global analyses in some delayed ratio-dependent predator–prey systems

  • E. Beretta, Y. Kuang
  • Nonlinear Anal., TMA 32
  • 1998
Highly Influential
4 Excerpts

Persistence in predator–prey systems with ratio-dependent predator-influence

  • H. I. Freedman, R. M. Mathsen
  • Bull. Math. Biol. 55
  • 1993
Highly Influential
2 Excerpts

Deterministic Mathematical Models in Population Ecology

  • H. I. Freedman
  • Marcel Dekker, New York
  • 1980
Highly Influential
1 Excerpt

Ratio-dependent prediction: an abstraction that works

  • H. R. Akcakaya, R. Arditi, L. R. Ginzburg
  • Ecology 76 (1995) 995. 82 S.-B. Hsu et al…
  • 2003

Similar Papers

Loading similar papers…