Multiple periodic solutions for a discrete time model of plankton allelopathy.
Zhang, Jianbao, Fang, Hui (2006)
Advances in Difference Equations [electronic only]
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Zhang, Jianbao, Fang, Hui (2006)
Advances in Difference Equations [electronic only]
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Kong, Xiangzeng, Chen, Liping, Yang, Wensheng (2010)
Advances in Difference Equations [electronic only]
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Qin, Wenjie, Liu, Zhijun (2010)
Discrete Dynamics in Nature and Society
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Chen, Liujuan, Xie, Xiangdong, Chen, Lijuan (2009)
Discrete Dynamics in Nature and Society
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Lu, Hongying (2009)
Discrete Dynamics in Nature and Society
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Chen, Lijuan, Xu, Junyan, Li, Zhong (2008)
Discrete Dynamics in Nature and Society
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Li, Xuepeng, Yang, Wensheng (2009)
Advances in Difference Equations [electronic only]
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Dai, Binxiang, Zou, Jiezhong (2005)
Advances in Difference Equations [electronic only]
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Li, Yongkun (2005)
International Journal of Mathematics and Mathematical Sciences
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Liu, Zhenjie (2009)
Advances in Difference Equations [electronic only]
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Changjin Xu, Peiluan Li (2014)
Mathematica Bohemica
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In this paper, a discrete version of continuous non-autonomous predator-prey model with infected prey is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and the method of Lyapunov function, some sufficient conditions for the existence and global asymptotical stability of positive periodic solution of difference equations in consideration are established. An example shows the feasibility of the main results.