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Journal of Biological Dynamics Volume 9, 2015 - Issue 1
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Original Articles

Global behaviour of a predator–prey like model with piecewise constant arguments

Senol KartalDepartment of Mathematics, Faculty of Education, Nevsehir Haci Bektas Veli University, Nevsehir50300, TurkeyCorrespondence[email protected]
&
Fuat GurcanFaculty of Engineering and Natural Sciences, International University of Sarajevo, Hrasnicka cesta 15, 71000Sarajevo, BIH;Department of Mathematics, Faculty of Science, Erciyes University, Kayseri38039, Turkey
Pages 159-171 | Received 10 Nov 2014, Accepted 04 May 2015, Published online: 04 Jun 2015

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Zain Ul Abadin Zafar, Syed Tauseef Saeed, Muhammad Rehan Qureshi & Cemil Tunç. (2023) Numerical analysis of Bazykin–Berezovskaya model. Journal of Taibah University for Science 17:1.
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Zhaolin Yan & Jianfang Gao. (2023) Numerical oscillation and non-oscillation analysis of the mixed type impulsive differential equation with piecewise constant arguments. International Journal of Computer Mathematics 100:12, pages 2251-2268.
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Articles from other publishers (10)

Parvaiz Ahmad Naik, Zohreh Eskandari, Mehmet Yavuz & Jian Zu. (2022) Complex dynamics of a discrete-time Bazykin–Berezovskaya prey-predator model with a strong Allee effect. Journal of Computational and Applied Mathematics 413, pages 114401.
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Hanen Assel, Mohamed Ali Hammami & Mohsen Miraoui. (2021) Dynamics and oscillations for some difference and differential equations with piecewise constant arguments. Asian Journal of Control 24:3, pages 1143-1151.
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Seval IŞIK & Figen KANGALGİL. (2022) On the analysis of stability, bifurcation, and chaos control of discrete-time predator-prey model with Allee effect on predator. Hacettepe Journal of Mathematics and Statistics 51:2, pages 404-420.
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Figen Kangalgil & Seval Isșık. (2022) Effect of immigration in a predator-prey system: Stability, bifurcation and chaos. AIMS Mathematics 7:8, pages 14354-14375.
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Hefan YİN & Qi WANG. (2021) Dynamic Behavior of Euler-Maclaurin Methods for Differential Equations with Piecewise Constant Arguments of Advanced and Retarded Type. Fundamental Journal of Mathematics and Applications 4:3, pages 165-179.
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Figen KANGALGİL & Seval IŞIK. (2020) Controlling chaos and Neimark-Sacker bifurcation in a discrete-time predator-prey system. Hacettepe Journal of Mathematics and Statistics 49:5, pages 1761-1776.
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A. A. Elsadany, Qamar Din & S. M. Salman. (2020) Qualitative properties and bifurcations of discrete-time Bazykin–Berezovskaya predator–prey model. International Journal of Biomathematics 13:06, pages 2050040.
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Figen Kangalgil. (2019) Neimark–Sacker bifurcation and stability analysis of a discrete-time prey–predator model with Allee effect in prey. Advances in Difference Equations 2019:1.
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Figen KANGALGİL. (2019) Kesik Zamanlı Allee Etkili bir Av-Avcı Modelinin Kararlılığı ve Flip ÇatallanmasıFlip Bifurcation and Stability in a Discrete-Time Prey-Predator Model with Allee Effect. Cumhuriyet Science Journal 40:1, pages 141-149.
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Seval Işık. (2019) A study of stability and bifurcation analysis in discrete-time predator–prey system involving the Allee effect. International Journal of Biomathematics 12:01, pages 1950011.
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