Dynamical properties in a fourth-order nonlinear difference equation.
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Chen, Yunxin, Li, Xianyi (2010)
Advances in Difference Equations [electronic only]
Chen, Dongmei, Li, Xianyi, Wang, Yanqin (2009)
Advances in Difference Equations [electronic only]
Changjin Xu, Peiluan Li (2014)
Mathematica Bohemica
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.
Tang, Guo-Mei, Hu, Lin-Xia, Jia, Xiu-Mei (2010)
Discrete Dynamics in Nature and Society
Bajo, Ignacio, Franco, Daniel, Perán, Juan (2011)
Advances in Difference Equations [electronic only]
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