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Dynamic optimal control of enhancing feedback treatment for a delayed fractional order predator–prey model

Author

Listed:
  • Huang, Chengdai
  • Liu, Heng
  • Chen, Xiaoping
  • Zhang, Minsong
  • Ding, Ling
  • Cao, Jinde
  • Alsaedi, Ahmed

Abstract

This paper excogitates the major theme of bifurcation control for a delayed fractional-order predator–prey model in accordance with an enhancing feedback controller. Initially, the bifurcation points of developed model are incisively established via analytic extrapolation by viewing time delay as a bifurcation parameter. Then, a range of contrastive analyses on the repercussion of bifurcation control are numerically illustrated including enhancing feedback, dislocated feedback and eliminating feedback approaches. It views that the stability performance of the developed model can be exceptionally intensified by enhancing feedback measure. Numerical simulations are implemented to gauge the benefits of the devised methodology in the end.

Suggested Citation

  • Huang, Chengdai & Liu, Heng & Chen, Xiaoping & Zhang, Minsong & Ding, Ling & Cao, Jinde & Alsaedi, Ahmed, 2020. "Dynamic optimal control of enhancing feedback treatment for a delayed fractional order predator–prey model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 554(C).
    • Handle: RePEc:eee:phsmap:v:554:y:2020:i:c:s0378437120300030
    DOI: 10.1016/j.physa.2020.124136
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    References listed on IDEAS

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