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Codimension-2 Bifurcation Analysis and Control of a Discrete Mosquito Model with a Proportional Release Rate of Sterile Mosquitoes

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  • Qiaoling Chen
  • Zhidong Teng
  • Junli Liu
  • Feng Wang

Abstract

This paper concerns a discrete wild and sterile mosquito model with a proportional release rate of sterile mosquitoes. It is shown that the discrete model undergoes codimension-2 bifurcations with 1 : 2, 1 : 3, and 1 : 4 strong resonances by applying the bifurcation theory. Some numerical simulations, including codimension-2 bifurcation diagrams, maximum Lyapunov exponents diagrams, and phase portraits, are also presented to illustrate the validity of theoretical results and display the complex dynamical behaviors. Moreover, two control strategies are applied to the model.

Suggested Citation

  • Qiaoling Chen & Zhidong Teng & Junli Liu & Feng Wang, 2020. "Codimension-2 Bifurcation Analysis and Control of a Discrete Mosquito Model with a Proportional Release Rate of Sterile Mosquitoes," Complexity, Hindawi, vol. 2020, pages 1-18, August.
    • Handle: RePEc:hin:complx:3075487
    DOI: 10.1155/2020/3075487
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    Cited by:

    1. Chen, Qiaoling & Teng, Zhidong & Wang, Feng, 2021. "Fold-flip and strong resonance bifurcations of a discrete-time mosquito model," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).

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