Volume no :45, Issue no: 1, May (2017)

A NEW EXISTENCE THEORY FOR POSITIVE PERIODIC SOLUTIONS TO A NEUTRAL DELAY n-SPECIES COMPETITIVE MODEL WITH THE EFFECT OF TOXIC SUBSTANCE AND IMPULSE

Author's: Jie Peng, Zhenguo Luo, Yang Deng, Ni Shuai and Ping Liu
Pages: [61] - [95]
Received Date: March 10, 2017
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121793

Abstract

In this paper, we acquire some sufficient and realistic conditions for the existence of positive periodic solution for a general neutral impulsive n-species competitive model with the effect of toxic substance and infinite delay, by applying some analysis techniques and a new existence theorem, which is different from Gaines and Mawhin’s continuation theorem and abstract continuation theory for k-set contraction. As an application, we also examine some special cases which have been studied extensively in the literature. Some known results are improved and generalized.

Keywords

periodic solution, neutral, infinite delay, n-species competitive model, impulse.