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Applicable Analysis
An International Journal
Volume 81, 2002 - Issue 4
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Original Articles

Periodic Solutions of Nonautonomous Discrete Predator-Prey System of Lotka-Volterra Type

Meng Fan Department of Mathematics, Key Laboratory for Vegetation Ecology of the Ministry of Education of P. R. China, Northeast Normal University, Changchun, Jilin, 130024, P. R. China
&
Sheba Agarwal Prides Court Apartments 18 I, Winchester Road, Newark, DE, 19713, USA
Pages 801-812 | Published online: 09 Sep 2010

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Azmy S. Ackleh, Md Istiaq Hossain, Amy Veprauskas & Aijun Zhang. (2020) Long-term dynamics of discrete-time predator–prey models: stability of equilibria, cycles and chaos. Journal of Difference Equations and Applications 26:5, pages 693-726.
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Azmy S. Ackleh, Md Istiaq Hossain, Amy Veprauskas & Aijun Zhang. (2019) Persistence and stability analysis of discrete-time predator–prey models: a study of population and evolutionary dynamics. Journal of Difference Equations and Applications 25:11, pages 1568-1603.
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Rasoul Asheghi. (2014) Bifurcations and dynamics of a discrete predator–prey system. Journal of Biological Dynamics 8:1, pages 161-186.
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Articles from other publishers (19)

Sabrina H. Streipert, Gail S. K. Wolkowicz & Martin Bohner. (2022) Derivation and Analysis of a Discrete Predator–Prey Model. Bulletin of Mathematical Biology 84:7.
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S. M. Salman, A. M. Yousef & A. A. Elsadany. (2021) Dynamic behavior and bifurcation analysis of a deterministic and stochastic coupled logistic map system. International Journal of Dynamics and Control 10:1, pages 69-85.
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Qi Cheng & Shengfu Deng. (2020) Flip bifurcations of two systems of difference equations. Mathematical Methods in the Applied Sciences 43:17, pages 9582-9597.
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Ali Atabaigi. (2016) Multiple Bifurcations and Dynamics of a Discrete Time Predator-Prey System with Group Defense and Non-Monotonic Functional Response. Differential Equations and Dynamical Systems 28:1, pages 107-132.
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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. M. Yousef, S. M. Salman & A. A. Elsadany. (2018) Stability and Bifurcation Analysis of a Delayed Discrete Predator–Prey Model. International Journal of Bifurcation and Chaos 28:09, pages 1850116.
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Ming Zhao, Cuiping Li & Jinliang Wang. (2017) COMPLEX DYNAMIC BEHAVIORS OF A DISCRETE-TIME PREDATOR-PREY SYSTEM. Journal of Applied Analysis & Computation 7:2, pages 478-500.
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Ming Zhao, Zuxing Xuan & Cuiping Li. (2016) Dynamics of a discrete-time predator-prey system. Advances in Difference Equations 2016:1.
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S.M. Salman, A.M. Yousef & A.A. Elsadany. (2016) Stability, bifurcation analysis and chaos control of a discrete predator-prey system with square root functional response. Chaos, Solitons & Fractals 93, pages 20-31.
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Xian-wei Chen, Xiang-ling Fu & Zhu-Jun Jing. (2013) Complex dynamics in a discrete-time predator-prey system without Allee effect. Acta Mathematicae Applicatae Sinica, English Series 29:2, pages 355-376.
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Canan Çelik & Oktay Duman. (2009) Allee effect in a discrete-time predator–prey system. Chaos, Solitons & Fractals 40:4, pages 1956-1962.
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Xiaoxing Chen & Haijun Guo. (2008) Four Periodic Solutions of a Generalized Delayed Predator-Prey System on Time Scales. Rocky Mountain Journal of Mathematics 38:5.
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Xiaoxing Chen. (2008) Periodicity in a nonlinear predator–prey system on time scales with state-dependent delays. Applied Mathematics and Computation 196:1, pages 118-128.
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XIAOXING CHEN. (2012) PERMANENCE IN A DISCRETE n-SPECIES NON-AUTONOMOUS LOTKA–VOLTERRA COMPETITIVE SYSTEMS WITH INFINITE DELAYS AND FEEDBACK CONTROL. Advances in Complex Systems 10:04, pages 463-477.
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Xiaoxing Chen. (2007) Periodicity in a nonlinear discrete predator–prey system with state dependent delays. Nonlinear Analysis: Real World Applications 8:2, pages 435-446.
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Yong-li Song & Mao-an Han. (2006) Periodic Solutions of a Discrete Time Predator-Prey System. Acta Mathematicae Applicatae Sinica, English Series 22:3, pages 397-404.
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Yongli Song & Yahong Peng. (2006) Periodic solutions of a nonautonomous periodic model of population with continuous and discrete time. Journal of Computational and Applied Mathematics 188:2, pages 256-264.
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CHEN XIAOXING. (2011) PERMANENCE AND GLOBAL STABILITY FOR NONLINEAR DISCRETE MODEL. Advances in Complex Systems 09:01n02, pages 31-40.
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Yongkun Li & Lifei Zhu. (2005) Existence of positive periodic solutions for difference equations with feedback control. Applied Mathematics Letters 18:1, pages 61-67.
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