JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE)

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Single-species model with impulsive birth and contraception control#br#

LI Qiu-ying, ZHANG Feng-qin, WANG Wen-juan   

  1. Department of Applied Mathematics, Yuncheng University, Yuncheng 044000,  Shanxi, China
  • Received:2013-10-14 Online:2014-06-20 Published:2014-06-14

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Abstract: In this paper, we propose contraception control single species models with impulsive Birth. Using the stroboscopic map, we obtain the sufficient condition for periodic solution. Using comparison principle, the sufficient condition for globally asymptotically stable of zero solution is obtained. Lastly, the sufficient condition for persistence of system is obtained.

Key words: density-dependent, Contraception control, impulsive birth

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