State Feedback Control of Predator-Prey Systems With Holling Ⅳ Functional Responses

WANG Xiaoe; LIN Xiaolin; LI Jianquan

doi:10.21656/1000-0887.400314

Volume 41 Issue 12

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WANG Xiaoe, LIN Xiaolin, LI Jianquan. State Feedback Control of Predator-Prey Systems With Holling Ⅳ Functional Responses[J]. Applied Mathematics and Mechanics, 2020, 41(12): 1369-1380. doi: 10.21656/1000-0887.400314

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State Feedback Control of Predator-Prey Systems With Holling Ⅳ Functional Responses

doi: 10.21656/1000-0887.400314

School of Arts and Sciences, Shaanxi University of Science and Technology, Xi’an 710021, P.R.China

Funds: The National Natural Science Foundation of China(11971281)

Received Date: 2019-10-05
Rev Recd Date: 2020-05-16
Publish Date: 2020-12-01

Abstract

Abstract

A class of predator-prey systems with Holling IV functional responses under state feedback control were studied. The sufficient conditions for the existence and stability of semi-trivial solutions and order-1 periodic solutions were obtained by means of the analogue of the Poincare criterion and the geometric theory for semi-continuous dynamical systems. The numerical simulation verifies the correctness of the conclusion and the effectiveness of the state feedback control, and reveals abundant dynamic behaviors of the state feedback control system, such as the fold bifurcation, the flip bifurcation and chaos.
- Holling Ⅳ functional response,
- state feedback control,
- successor function,
- order-1 periodic solution

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References(17)

References

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