4.6 Article

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

Journal

Publisher

ELSEVIER
DOI: 10.1016/j.physa.2020.124136

Keywords

Fractional order; Enhancing feedback control; Dislocated feedback control; Bifurcation control; Predator-prey models

Funding

  1. National Natural Science Foundation of China [11701409, 61967001]
  2. Natural Science Foundation of Jiangsu Province of China [BK20170591]
  3. Natural Science Foundation of the Jiangsu Higher Education Institutions of China [17KJB110018]
  4. China Postdoctoral Science Foundation [2018M642130]
  5. Guangxi Natural Science Foundation [2018JJA110113]
  6. Key Scientific Research Project for Colleges and Universities of Henan Province [20A110004]
  7. Nanhu Scholars Program for Young Scholars of Xinyang Normal University, China

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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. (C) 2020 Elsevier B.V. All rights reserved.

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