Mathematical Analysis of a Fractional‐Order Predator‐Prey Network with Feedback Control Strategy | Zendy

Wei Zhang | Zendy; Fei Yu | Zendy; Zhouhong Li | Zendy; Chengdai Huang | Zendy

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Mathematical Analysis of a Fractional‐Order Predator‐Prey Network with Feedback Control Strategy

Author(s) -

Wei Zhang,

Fei Yu,

Zhouhong Li,

Chengdai Huang

Publication year - 2021

Publication title -

computational intelligence and neuroscience

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.605

H-Index - 52

eISSN - 1687-5273

pISSN - 1687-5265

DOI - 10.1155/2021/9358881

Subject(s) - control theory (sociology) , bifurcation , controller (irrigation) , set (abstract data type) , feedback control , stability (learning theory) , computer science , control (management) , order (exchange) , mathematics , nonlinear system , control engineering , artificial intelligence , engineering , economics , physics , finance , quantum mechanics , machine learning , agronomy , biology , programming language

This paper examines the bifurcation control problem of a class of delayed fractional-order predator-prey models in accordance with an enhancing feedback controller. Firstly, the bifurcation points of the devised model are precisely figured out via theoretical derivation taking time delay as a bifurcation parameter. Secondly, a set comparative analysis on the influence of bifurcation control is numerically studied containing enhancing feedback, dislocated feedback, and eliminating feedback approaches. It can be seen that the stability performance of the proposed model can be immensely heightened by the enhancing feedback approach. At the end, a numerical example is given to illustrate the feasibility of the theoretical results.

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