JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2018, Vol. 53 ›› Issue (7): 30-38.doi: 10.6040/j.issn.1671-9352.0.2018.018

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Study of dynamic of a discrete host-parasitoid model

LIU Hua1, YE Yong1, WEI Yu-mei2*, YANG Peng1, MA Ming1, YE Jian-hua1, MA Ya-lei1   

  1. 1. School of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730030, Gansu, China;
    2. The Experiment Center, Northwest Minzu University, Lanzhou 730030, Gansu, China
  • Received:2018-01-17 Online:2018-07-20 Published:2018-07-03

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Abstract: A host-parasitoid model with Allee effect and Holling Ⅲ functional response function was established, and the local stability and persistence of equilibria was discussed. The influence of the Allee effect on the dynamic behavior of the model is simulated by the computer simulation and the intrinsic growth rate r as the parameter of the bifurcation diagram. We found that the introduction of Allee effect will accelerate the extinction of population in the model with both Allee effect and Holling Ⅲ functional response. When the system is strong Allee, the chaotic dynamics of the system will be reduced.

Key words: stability, persistence, bifurcation diagram, Holling Ⅲ functional response, Allee effect

CLC Number: 

  • O29
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