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Analysis of a Holling-Tanner Predator-Prey System With Birth Pulse and Harvesting Effect(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2007年04期
Page:
10-16
Research Field:
数学
Publishing date:

Info

Title:
Analysis of a Holling-Tanner Predator-Prey System With Birth Pulse and Harvesting Effect
Author(s):
Pang Guoping1; 2; Zhao Qiang1
1.Department of Mathematics and Computer Science,Yulin Normal University,Yulin 537000,China
Keywords:
H olling-Tanner p redator-p rey sys tem;  b irth pulse;  ext inction;  p erm anen ce;  them ax imum harvest ing effort
PACS:
O175;Q141
DOI:
-
Abstract:
The perm an ence and harvest ing policy of aH o lling-T anner p redator-p rey m odelw ith b irth pu lse and harves ting effect is invest igated. F irst, by the stroboscop ic m ap, w e obtain an exact period ic so lut ion of th e system w h ich has R icker fun ct ion or B everton-H olt funct ion. Furth er, by the Floquet theorem, w e prove the boundary periodic solu tion is alw ays unstab le. And by th e com parison theorem of im puls ive differen tia l equation, w e ob tain the cond ition for perm a nen ce of th e system. At last, w e gain the m axim um harvest ing effort for th e system.

References:

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Last Update: 2013-05-05