The dynamics of a delayed generalized fractional-order biological networks with predation behavior and material cycle
Articles
Yingkang Xie
Shandong University of Science and Technology
https://orcid.org/0000-0003-3565-1885
Zhen Wang
Shandong University of Science and Technology
https://orcid.org/0000-0001-7188-5828
Hao Shen
Anhui University of Technology
Yuxia Li
Shandong University of Science and Technology
Published 2020-09-01
https://doi.org/10.15388/namc.2020.25.18391
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Keywords

material cycle
fractional order
time delay
Hopf bifurcation
predation behavior

How to Cite

Xie Y., Wang Z., Shen H. and Li Y. (2020) “The dynamics of a delayed generalized fractional-order biological networks with predation behavior and material cycle”, Nonlinear Analysis: Modelling and Control, 25(5), pp. 745–765. doi: 10.15388/namc.2020.25.18391.

Abstract

In this paper, a delayed generalized fractional-order biological networks with predation behavior and material cycle is comprehensively discussed. Some criteria of stability and bifurcation for the present system is presented. Moreover some results of two delays are obtained. Finally, some numerical simulations are presented to support the analytical results.

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