shift in Hopf bifurcations for a class of nonstandard numerical schemes.
Alexander, Murray E., Moghadas, Seyed M. (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Alexander, Murray E., Moghadas, Seyed M. (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Cavani, Mario, Lara, Teodoro, Romero, Sael (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Baráková, Lenka, Volokitin, Evgenii P. (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Zhang, Xiao, Xu, Rui, Gan, Qintao (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Pribylova, Lenka (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Dragana Ranković (2011)
Matematički Vesnik
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Hadley, Scott A., Forbes, Lawrence K. (2009)
Journal of Applied Mathematics
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Qiaoling Chen, Zhidong Teng, Zengyun Hu (2013)
International Journal of Applied Mathematics and Computer Science
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The dynamics of a discrete-time predator-prey model with Holling-IV functional response are investigated. It is shown that the model undergoes a flip bifurcation, a Hopf bifurcation and a saddle-node bifurcation by using the center manifold theorem and bifurcation theory. Numerical simulations not only exhibit our results with the theoretical analysis, but also show the complex dynamical behaviors, such as the period-3, 6, 9, 12, 20, 63, 70, 112 orbits, a cascade of period-doubling bifurcations...
Talibi Alaoui, Hamad, Yafia, Radouane (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Kaddar, Abdelilah (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Liu, Li, Li, Xiangao, Zhuang, Kejun (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Cai, Jianping (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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