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Published online by Cambridge University Press:  05 April 2022

Faculty of Arts and Sciences, Department of Mathematics, Yildiz Technical University, İstanbul, Turkey
Faculty of Engineering and Natural Sciences, Department of Mathematics, Bahcesehir University, İstanbul, Turkey; e-mail:


We study a fractional-order delayed predator-prey model with Holling–Tanner-type functional response. Mainly, by choosing the delay time $\tau $ as the bifurcation parameter, we show that Hopf bifurcation can occur as the delay time $\tau $ passes some critical values. The local stability of a positive equilibrium and the existence of the Hopf bifurcations are established, and numerical simulations for justifying the theoretical analysis are also presented.

Research Article
© The Author(s), 2022. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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