Biological control in a simple ecological model via subcritical Hopf and Bogdanov-Takens bifurcations

Chan-López, E.; Castellanos, Víctor

doi:10.1016/j.chaos.2022.111921

Cited by 4 publications

(1 citation statement)

References 15 publications

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“…To prevent the serious damage or even extinction of animal and plant population caused by infectious diseases, it is particularly important to reasonably intervene and control the ecological epidemiological system[ 26 , 27 ]. For the treatment of leukemia, Islam et al[ 28 ] designed an adaptive terminal and supertorsional sliding mode controller, and verified the stability of the system using Lyapunov’s stability theory.…”

Section: Introductionmentioning

confidence: 99%

Stability and bifurcation control analysis of a delayed fractional-order eco-epidemiological system

Zhao

2022

Eur. Phys. J. Plus

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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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Section: Introductionmentioning

confidence: 99%