Journal of Jilin University Science Edition ›› 2019, Vol. 57 ›› Issue (5): 1088-1094.

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Dynamics of Single Population Model with Transient and Non-transient Impulsive Harvesting in Polluted Environment#br#

JIAO Jianjun1, CHEN Lansun2, LI Limei3   

  1. 1. School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550004, China; 
    2. Institute of Mathematics, Chinese Academy of Sciences, Beijing 100080, China;
    3. School of Continuing Education, Guizhou University of Finance and Economics, Guiyang 550004, China
  • Received:2019-03-01 Online:2019-09-26 Published:2019-09-19
  • Contact: LI Limei E-mail:1006805680@qq.com

Abstract: Using the theories of impulsive differential equations, we investigated the dynamics of a single population model with transient and nontransient impulsive harvesting in polluted environment, and gave the sufficient conditions for the permanence of the population. The results show that the amount of transient impulsive harvesting and the nontransient impulsive harvesting interval length play important roles in the permanence of the population.

Key words: polluted environment, transient impulsive harvesting,  , non-transient impulsive harvesting, interval length, extinction, permanence

CLC Number: 

  • O175.2