Chaos in a predator-prey system with impulsive perturbations and stage structure for the predator.
Zhang, Bin, Shi, Shuai, Liu, Woye (2009)
Discrete Dynamics in Nature and Society
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Displaying similar documents to “Double periodic solutions for a ratio-dependent predator-prey system with harvesting terms on time scales.”
Chaos in a predator-prey system with impulsive perturbations and stage structure for the predator.
Permanence and extinction of a generalized Gause-type predator-prey system with periodic coefficients.
Luo, Jinhuo (2010)
Abstract and Applied Analysis
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Periodic solutions and stability for a delayed discrete ratio-dependent predator-prey system with Holling-type functional response.
Wang, Lin-Lin, Li, Wan-Tong (2004)
Discrete Dynamics in Nature and Society
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Permanence of periodic predator-prey system with functional responses and stage structure for prey.
Huang, Can-Yun, Zhao, Min, Huo, Hai-Feng (2008)
Abstract and Applied Analysis
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Positive periodic solution for ratio-dependent -species discrete time system
Mei-Lan Tang, Xin-Ge Liu (2011)
Applications of Mathematics
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In this paper, sharp a priori estimate of the periodic solutions is obtained for the discrete analogue of the continuous time ratio-dependent predator-prey system, which is governed by nonautonomous difference equations, modelling the dynamics of the competing preys and one predator having nonoverlapping generations. Based on more precise a priori estimate and the continuation theorem of the coincidence degree, an easily verifiable sufficient criterion of the existence of positive...
Almost periodic solution of a diffusive mixed system with time delay and type III functional response.
Liu, Qiong (2008)
Discrete Dynamics in Nature and Society
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A predator-prey Gompertz model with time delay and impulsive perturbations on the prey.
Jia, Jianwen, Li, Chunhua (2009)
Discrete Dynamics in Nature and Society
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Periodic solutions of a delayed predator-prey model with stage structure for predator.
Xu, Rui, Chaplain, M.A.J., Davidson, F.A. (2004)
Journal of Applied Mathematics
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Permanence of periodic predator-prey system with general nonlinear functional response and stage structure for both predator and prey.
Huang, Xuming, Kong, Xiangzeng, Yang, Wensheng (2009)
Abstract and Applied Analysis
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Permanence and global attractivity of a discrete two-prey one-predator model with infinite delay.
Yu, Zhixiang, Li, Zhong (2009)
Discrete Dynamics in Nature and Society
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Dynamics behaviors of a discrete ratio-dependent predator-prey system with Holling type III functional response and feedback controls.
Yang, Jinghui (2008)
Discrete Dynamics in Nature and Society
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A predator-prey model with state dependent impulsive effects
Changming Ding (2014)
Annales Polonici Mathematici
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We investigate a Lotka-Volterra predator-prey model with state dependent impulsive effects, in which the control strategies by releasing natural enemies and spraying pesticide at different thresholds are considered. We present some sufficient conditions to guarantee the existence and asymptotical stability of semi-trivial periodic solutions and positive periodic solutions.