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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Jia, Jianwen, Li, Chunhua (2009)
Discrete Dynamics in Nature and Society
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Changjin Xu, Qianhong Zhang, Maoxin Liao (2013)
Applications of Mathematics
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In this paper, a class of non-autonomous delayed competitive systems with the effect of toxic substances and impulses is considered. By using the continuation theorem of coincidence degree theory, we derive a set of easily verifiable sufficient conditions that guarantees the existence of at least one positive periodic solution, and by constructing a suitable Lyapunov functional, the uniqueness and global attractivity of the positive periodic solution are established.
Baek, Hunki (2009)
Discrete Dynamics in Nature and Society
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Shi, Ruiqing, Chen, Lansun (2007)
Discrete Dynamics in Nature and Society
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Liu, Kaiyuan, Chen, Lansun (2007)
Discrete Dynamics in Nature and Society
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Liu, Kaiyuan, Chen, Lansun (2008)
Discrete Dynamics in Nature and Society
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Baek, Hunki, Do, Younghae (2009)
Abstract and Applied Analysis
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Cai, Liming, Li, Xuezhi, Song, Xinyu, Yu, Jingyuan (2007)
Discrete Dynamics in Nature and Society
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Ying Li, Yuanfu Shao (2014)
Applications of Mathematics
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An impulsive differential equation with time varying delay is proposed in this paper. By using some analysis techniques with combination of coincidence degree theory, sufficient conditions for the permanence, the existence and global attractivity of positive periodic solution are established. The results of this paper improve and generalize some previously known results.