Theory in Biosciences

, Volume 138, Issue 2, pp 251–259 | Cite as

Stability and dynamics of a fractional-order three-species predator–prey model

  • Prabir PanjaEmail author
Original Article


In this paper, a fractional-order predator–prey mathematical model has been developed considering Holling type II functional response. Here, we have investigated the interaction dynamics of prey, middle predator and top predator. We assume that the middle predator consumes only the prey, and the top predator consumes only the middle predator. Here, the logistic growth of prey has been considered. Then, different possible equilibrium points of our proposed system are determined. The stability of our proposed system is investigated around the equilibrium points. Then, some numerical simulations results are presented for better understanding the dynamics of our proposed model. It is found that the fractional-order derivative can improve the stability of our proposed system.


Predator Prey Fractional order Caputo-type derivatives Harvesting 



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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Applied ScienceHaldia Institute of TechnologyHaldiaIndia

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