具HollingⅡ类功能反应及捕获的三种群L-V系统多

J4 ›› 2011, Vol. 49 ›› Issue (02): 195-202.

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Existence of Multiple Positive Periodic Solutions for ThreeSpecies L-V System with Holling Ⅱ Type Functional Response and Harvesting Terms

JIANG Yuqiu¹, WEI Fengying²

1. College of Mathematics, Jilin Normal University, Siping 136000, Jilin Province, China;2. College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350108, China

Received:2010-07-19 Online:2011-03-26 Published:2011-06-14
Contact: WEI Fengying E-mail:weifengying76@yahoo.com.cn

Abstract

Abstract:

The existence of multiple positive periodic solutions for threespecies L-V system with harvesting terms and Holling Ⅱ type functional response was studied via coincidence degree theory and comparison theorem, at least eight positive periodic solutions for L-V system were obtained. Aconcrete example was given to illustrate the effectiveness of our results.

Key words: positive periodic solutions, L-V system, coincidence degree, Holling Ⅱ type functional response, harvesting

CLC Number:

O175.12

JIANG Yu-Qiu, WEI Feng-Yang. Existence of Multiple Positive Periodic Solutions for ThreeSpecies L-V System with Holling Ⅱ Type Functional Response and Harvesting Terms[J].J4, 2011, 49(02): 195-202.

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Existence of Multiple Positive Periodic Solutions for ThreeSpecies L-V System with Holling Ⅱ Type Functional Response and Harvesting Terms

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