Stability and bifurcation control of a delayed fractional-order eco-epidemiological model with incommensurate orders

In this paper, a delayed fractional eco-epidemiological model with incommensurate orders is proposed, and a control strategy of this model is discussed. Firstly, for the system with no controller, the stability and Hopf bifurcation with respect to time delay are investigated. Secondly, under the inf...

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Published in:Journal of the Franklin Institute 2019-10, Vol.356 (15), p.8278-8295
Main Authors: Wang, Xinhe, Wang, Zhen, Xia, Jianwei
Format: Article
Language:English
Subjects:
Bifurcation theory
Computer simulation
Control stability
Controllers
Epidemiology
Feedback control
Feedback control systems
Hopf bifurcation
Mathematical models
Numerical analysis
Systems stability
Time lag
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description In this paper, a delayed fractional eco-epidemiological model with incommensurate orders is proposed, and a control strategy of this model is discussed. Firstly, for the system with no controller, the stability and Hopf bifurcation with respect to time delay are investigated. Secondly, under the influence of the controller, the stability and Hopf bifurcation of the system is discussed, and it is indicated that the stability of the system can be changed by increasing the feedback control delay. In particular, a separate study is carried out on the bifurcation with respect to the extended feedback delay, and the bifurcation point is calculated. At last, to support the theoretical results, some numerical simulations are depicted.
doi_str_mv 10.1016/j.jfranklin.2019.07.028
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subjects Bifurcation theory
Computer simulation
Control stability
Controllers
Epidemiology
Feedback control
Feedback control systems
Hopf bifurcation
Mathematical models
Numerical analysis
Systems stability
Time lag
title Stability and bifurcation control of a delayed fractional-order eco-epidemiological model with incommensurate orders
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