Dynamics Analysis in a Delayed Two-Species Competition Model with Harvest Effort and Nonlinear Intraspecific Regulation

LIU Chao; WANG Xiao-Min; Yue Wen-Quan

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Dynamics Analysis in a Delayed Two-Species Competition Model with Harvest Effort and Nonlinear Intraspecific Regulation

LIU Chao 1, WANG Xiao-Min 2, Yue Wen-Quan 3

1. Institute of Systems Science, Northeastern University, Shenyang 110004

2. School of Mathematics and Statistics, Northeastern University at Qinhuangdao, Qinhuangdao, 066004

3. Hebei Academy of Agricultural and Forestry Sciences, Shijiazhuang, 050000

*Correspondence author

#Submitted by

Subject:

Funding: （No.XNK201301）, （No.20110042120016）, （No.F2011501023）

Opened online:15 May 2014

Accepted by: none

Citation: LIU Chao, WANG Xiao-Min, Yue Wen-Quan.Dynamics Analysis in a Delayed Two-Species Competition Model with Harvest Effort and Nonlinear Intraspecific Regulation[OL]. [15 May 2014] http://en.paper.edu.cn/en_releasepaper/content/4594689

In this paper, a mathematical model is established to investigate interaction and coexistence mechanism of two-species competition ecosystem with nonlinear intraspecific regulation. The combined dynamic effects of maturation delay and harvest effort on population dynamics are discussed. Conditions for existence of three nonnegative boundary equilibria and a unique interior equilibrium are investigated. Positivity and boundedness of solutions are analytically studied. By analyzing associated characteristic equation, local stability of the proposed model around nonnegative boundary equilibrium and interior equilibrium is discussed, respectively. Furthermore, global stability of the nonnegative boundary equilibrium is investigated based on an iterative technique. By constructing an appropriate Lyapunov functional, global stability of the unique interior equilibrium is also discussed. Numerical simulations are carried out to show consistency with theoretical analysis.

Keywords:Operations research and control theory; maturation delay, harvest effort, nonlinear intraspecific regulation, global stability analysis

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