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Stabilization of a Kind of Prey-Predator Model with Holling Functional Response

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Abstract

The stabilization problem of a kind of prey-predator model with Holling functional response is investigated. By approximate linearization approach, a feedback control law stabilizing the closed-loop system is obtained. On the other hand, by exact linearization approach, a suitable change of coordinates in the state space and a feedback control law render the complex nonlinear system to be a linear controllable one such that the positive equilibrium point of the closed-loop system is globally asymptotically stable.

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Authors and Affiliations

  1. College of Science, Northeastern University, Shenyang, 110006, China

    Xi Liu, Qingling Zhang & Lichun Zhao

Authors
  1. Xi Liu
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  2. Qingling Zhang
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  3. Lichun Zhao
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Correspondence to Xi Liu.

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Liu, X., Zhang, Q. & Zhao, L. Stabilization of a Kind of Prey-Predator Model with Holling Functional Response. Jrl Syst Sci & Complex 19, 436–440 (2006). https://doi.org/10.1007/s11424-006-0436-2

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  • DOI: https://doi.org/10.1007/s11424-006-0436-2

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