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Original Articles

Bifurcations and dynamics of a discrete predator–prey system

Pages 161-186 | Received 16 Nov 2013, Accepted 18 May 2014, Published online: 17 Jun 2014

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Kelsey Marcinko & Mark Kot. (2020) A comparative analysis of host–parasitoid models with density dependence preceding parasitism. Journal of Biological Dynamics 14:1, pages 479-514.
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Abdul Qadeer Khan, Jiying Ma & Dongmei Xiao. (2017) Global dynamics and bifurcation analysis of a host–parasitoid model with strong Allee effect. Journal of Biological Dynamics 11:1, pages 121-146.
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S. Kapçak, S. Elaydi & Ü. Ufuktepe. (2016) Stability of a predator–prey model with refuge effect. Journal of Difference Equations and Applications 22:7, pages 989-1004.
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G. Livadiotis, L. Assas, B. Dennis, S. Elaydi & E. Kwessi. (2015) A discrete-time host–parasitoid model with an Allee effect. Journal of Biological Dynamics 9:1, pages 34-51.
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Articles from other publishers (13)

Run Yang & Jianglin Zhao. (2023) Bifurcation and chaos in a discrete Holling–Tanner model with Beddington–DeAngelis functional response. Advances in Continuous and Discrete Models 2023:1.
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Francisco J. Solis, Ignacio Barradas & Daniel Juarez. (2018) From Backward Approximations to Lagrange Polynomials in Discrete Advection–Reaction Operators. Differential Equations and Dynamical Systems 29:2, pages 363-375.
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Anuraj Singh & Preeti Deolia. (2020) Dynamical analysis and chaos control in discrete-time prey-predator model. Communications in Nonlinear Science and Numerical Simulation, pages 105313.
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Youping Lin, Qamar Din, Muhammad Rafaqat, Abdelalim A. Elsadany & Yanqiu Zeng. (2020) Dynamics and Chaos Control for a Discrete-Time Lotka-Volterra Model. IEEE Access 8, pages 126760-126775.
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Anuraj Singh, Abdelalim A. Elsadany & Amr Elsonbaty. (2019) Complex dynamics of a discrete fractional‐order Leslie‐Gower predator‐prey model. Mathematical Methods in the Applied Sciences 42:11, pages 3992-4007.
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Jianglin Zhao & Yong Yan. (2018) Stability and bifurcation analysis of a discrete predator–prey system with modified Holling–Tanner functional response. Advances in Difference Equations 2018:1.
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Sk. Sarif Hassan, Divya Ahluwalia, Ravi Kiran Maddali & Monika Manglik. (2018) Computational dynamics of the Nicholson-Bailey models. The European Physical Journal Plus 133:9.
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A. Q. Khan. (2018) Supercritical Neimark-Sacker bifurcation of a discrete-time Nicholson-Bailey model. Mathematical Methods in the Applied Sciences 41:12, pages 4841-4852.
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Youssef N. RaffoulYoussef N. Raffoul. 2018. Qualitative Theory of Volterra Difference Equations. Qualitative Theory of Volterra Difference Equations 229 252 .
Ali Atabaigi & Mohammad Hossein Akrami. (2017) Dynamics and bifurcations of a host–parasite model. International Journal of Biomathematics 10:06, pages 1750089.
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Qamar Din, Muhammad Adil KhanUmer Saeed. (2016) Qualitative Behaviour of Generalised Beddington Model. Zeitschrift für Naturforschung A 71:2, pages 145-155.
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