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| Hopf Bifurcation of Biological Competition Network with Independent Non-cross Propagation |
| LU Yunxiang, XIAO Min, TAO Binbin, DING Jie, CHEN Shi
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| a. College of Automation; b. College of Artificial Intelligence, Nanjing University of Posts and Telecommunications, Nanjing 210023, China |
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Abstract At present, most ecological competition networks are characterized by integer-order systems, and system behavior is only affected by the current moment. In this paper, a fractional time-delay predator-prey model with independent non-cross propagation is proposed. Time delay is selected as the bifurcation parameter. The stability and bifurcation problems of the model are studied through analyzing the distribution of the roots of the corresponding characteristic equation under the influence of different orders, and the stability conditions and Hopf bifurcation criteria induced by time delay are established. Finally, the accuracy of the theoretical results is verified by numerical simulations.
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Received: 30 September 2020
Published: 21 February 2022
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