https://doi.org/10.1140/epjp/s13360-022-03154-z
Regular Article
Stability and bifurcation control analysis of a delayed fractional-order eco-epidemiological system
College of Mathematics and System Science, Shandong University of Science and Technology, 266590, Qingdao, People’s Republic of China
Received:
21
June
2022
Accepted:
4
August
2022
Published online:
17
August
2022
Considering the factor of artificial intervention in biological control, a delayed fractional eco-epidemiological system with an extended feedback controller is proposed. By using the digestion delay as bifurcation parameter, the stability and Hopf bifurcation are investigated, and the branching conditions are given. The system undergoes Hopf bifurcation, when the parameter 
passes through the critical value. In addition, it can be pointed out that the negative feedback gain and the feedback delay could affect the bifurcation critical value of the system. Therefore, the Hopf bifurcation can also be induced by taking the feedback delay as a bifurcation parameter. Finally, by plotting the solution curve of the system, the significance of the controller to the stability of the eco-epidemiological system is verified.
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