Fractional dynamics based-enhancing control scheme of a delayed
predator-prey model
- Jun Yuan,
- Lingzhi Zhao,
- Chengdai Huang,
- Min Xiao
Min Xiao
Nanjing University of Posts and Telecommunications
Author ProfileAbstract
To retard the onset of undesired bifurcation, the bifurcation control
has developed into a theme of centralized research activities in delayed
fractional-order system. In this paper, the problem of bifurcation
control for a delayed fractional-order predator-prey model is
investigated by employing an enhancing feedback control technique. The
bifurcation point is firstly established for controlled model by using
delay as a bifurcation parameter. Then, a series of numerical
comparative studies on the effects of bifurcation control are
implemented covering the partial or total removal of the branch for
feedback gains. It reveals that the stability performance of the
proposed model can be overwhelmingly elevated via the devised approaches
in comparison with the dislocated feedback ones. A numerical example
with simulations is ultimately designed to confirm the merits of the
proposed theoretical results.