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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Luo, Jinhuo (2010)
Abstract and Applied Analysis
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Huo, Hai-Feng, Li, Wan-Tong (2003)
International Journal of Mathematics and Mathematical Sciences
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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.
Dimiter Petkov Tsvetkov, Svetlin Georgiev Georgiev (1997)
Matematički Vesnik
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Zhang, Bin, Shi, Shuai, Liu, Woye (2009)
Discrete Dynamics in Nature and Society
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Raffoul, Y. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Cui, Jingan, Song, Xinyu (2004)
International Journal of Mathematics and Mathematical Sciences
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Liu, Zhenjie (2009)
Discrete Dynamics in Nature and Society
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Liu, Qiong (2008)
Discrete Dynamics in Nature and Society
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Yongkun Li, Li Yang, Wanqin Wu (2014)
Applications of Mathematics
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In this paper, using Mawhin's continuation theorem of the coincidence degree theory, we obtain some sufficient conditions for the existence of positive almost periodic solutions for a class of delay discrete models with Allee-effect.
Qin, Wenjie, Liu, Zhijun, Chen, Yiping (2009)
Discrete Dynamics in Nature and Society
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Alsharawi, Ziyad, Ben Haj Rhouma, Mohamed (2010)
Advances in Difference Equations [electronic only]
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