Dynamic analysis of a fractional order delayed predator–prey system with harvesting

@article{Song2016DynamicAO,
  title={Dynamic analysis of a fractional order delayed predator–prey system with harvesting},
  author={Ping Song and Hongyong Zhao and Xuebing Zhang},
  journal={Theory in Biosciences},
  year={2016},
  volume={135},
  pages={59-72}
}
In the study, we consider a fractional order delayed predator–prey system with harvesting terms. Our discussion is divided into two cases. Without harvesting, we investigate the stability of the model, as well as deriving some criteria by analyzing the associated characteristic equation. With harvesting, we investigate the dynamics of the system from the aspect of local stability and analyze the influence of harvesting to prey and predator. Finally, numerical simulations are presented to verify… Expand
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