Multiple Positive Periodic Solutions for a Gilpin-Ayala Competition Predator-Prey System with Harvesting Terms | Zendy

Yongzhi Liao | Zendy; Yongkun Li | Zendy; Xiao-Yan Dou | Zendy

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Multiple Positive Periodic Solutions for a Gilpin-Ayala Competition Predator-Prey System with Harvesting Terms

Author(s) -

Yongzhi Liao,

Yongkun Li,

Xiao-Yan Dou

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/427264

Subject(s) - mathematics , degree (music) , competition (biology) , predation , predator , coincidence , mathematical analysis , ecology , medicine , physics , alternative medicine , pathology , acoustics , biology

By applying Mawhin’s continuation theorem of coincidence degree theory, we study the existence of multiple positive periodic solutions for a Gilpin-Ayala competition predator-prey system with harvesting terms and obtain some sufficient conditions for the existence of multiple positive periodic solutions for the system under consideration. The result of this paper is completely new. An example is employed to illustrate our result

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