Dynamics of a predator-prey system concerning biological and chemical controls.
Kim, Hye Kyung, Baek, Hunki (2010)
Journal of Inequalities and Applications [electronic only]
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Kim, Hye Kyung, Baek, Hunki (2010)
Journal of Inequalities and Applications [electronic only]
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Baek, Hunki (2009)
Discrete Dynamics in Nature and Society
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Chen, Fengde (2005)
Journal of Applied Mathematics
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Baek, Hunki (2008)
Discrete Dynamics in Nature and Society
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Huo, Hai-Feng, Li, Wan-Tong (2006)
Discrete Dynamics in Nature and Society
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Baek, Hunki, Do, Younghae (2009)
Abstract and Applied Analysis
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Wang, Lin-Lin, Li, Wan-Tong (2004)
Discrete Dynamics in Nature and Society
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Fan, Yong-Hong, Wang, Lin-Lin (2009)
Discrete Dynamics in Nature and Society
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Wang, Lin-Lin, Li, Wan-Tong, Zhao, Pei-Hao (2004)
Advances in Difference Equations [electronic only]
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Fan, Yong-Hong, Li, Wan-Tong (2006)
Discrete Dynamics in Nature and Society
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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.