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Permanence and extinction of a nonautonomous impulsive plankton model with help
Authors:Wen Wang  Shutang Liu  Dadong Tian  Qiuyue Zhao
Affiliation:School of Control Science and Engineering, Shandong University, Jinan, China
Abstract:In this paper, we consider a nonautonomous impulsive plankton model with mutual help of preys. Sufficient conditions ensuring permanence and global attractivity of the model are established by the relation between solutions of impulsive system and corresponding nonimpulsive system. Also, we propose the conditions for which the species of system are driven to extinction. Numerical simulations are given to verify the main results.
Keywords:extinction  global attractivity  impulsive differential equations  permanence  plankton model
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