Periodic Solutions for n‐Species Lotka‐Volterra Competitive Systems with Pure Delays | Zendy

Ahmadjan Muhammadhaji | Zendy; Rouzimaimaiti Mahemuti | Zendy; Zhidong Teng | Zendy

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Periodic Solutions for n‐Species Lotka‐Volterra Competitive Systems with Pure Delays

Author(s) -

Ahmadjan Muhammadhaji,

Rouzimaimaiti Mahemuti,

Zhidong Teng

Publication year - 2015

Publication title -

chinese journal of mathematics

Language(s) - English

Resource type - Journals

ISSN - 2314-8071

DOI - 10.1155/2015/856959

Subject(s) - mathematics , degree (music) , coincidence , class (philosophy) , volterra equations , lyapunov function , mathematical analysis , nonlinear system , computer science , physics , medicine , alternative medicine , pathology , quantum mechanics , artificial intelligence , acoustics

We study a class of periodic general n-species competitive Lotka-Volterra systems with pure delays. Based on the continuation theorem of the coincidence degree theory and Lyapunov functional, some new sufficient conditions on the existence and global attractivity of positive periodic solutions for the n-species competitive Lotka-Volterra systems are established. As an application, we also examine some special cases of the system, which have been studied extensively in the literature

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