Mathematical analysis of a fractional-order predator-prey network with
feedback control strategy
- Wei Zhang,
- Yu Fei,
- Zhouhong Li,
- Chengdai Huang
Abstract
To procure the desirable dynamical performance, some control strategies
have currently burgeoned into essential study activities in
fractional-order intricate systems with delays. This paper examines the
bifurcation control problem of a delayed fractional-order predator-prey
model in accordance with an enhancing feedback controller. Initially,
the bifurcation points of devised model are precisely figured out via
theoretic derivation by taking time delay as a bifurcation parameter.
Then, a range of comparative analysis on the influence of bifurcation
control are numerically discussed including enhancing feedback,
dislocated feedback and eliminating feedback approaches. It witnesses
that the stability performance of the proposed model can be immensely
heightened by the enhancing feedback approach. The feasibility of the
devised scheme are nicely verified by means of numerical simulations.
Our results provide important theoretical guidance for the application
of enhancing feedback control scheme in engineering.