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Stability and Hopf Bifurcation Analysis in a Mutualistic Model with Time-Delay(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2019年02期
Page:
65-72
Research Field:
·数学与计算机科学·
Publishing date:

Info

Title:
Stability and Hopf Bifurcation Analysis in a Mutualistic Model with Time-Delay
Author(s):
He Shun; Li Mei
School of Applied Mathematics,Nanjing University of Finance and Economics,Nanjing 210023,China
Keywords:
time-delay; mutualistic model; global stability; Hopf bifurcation
PACS:
O175.1
DOI:
10.3969/j.issn.1001-4616.2019.02.011
Abstract:
This paper considers a mutualistic model with time-delay. The boundedness of solution is proved by comparison principle when ε1ε2≠0,and sufficient conditions for the global asymptotical stability of the positive equilibrium of the model are obtained by constructing Lyapunov function. Then by using the eigenvalue theory and taking the time delay as the parameter,the existence of Hopf branch of the system is studied,and the sufficient conditions for the existence of branch value are given. Finally,numerical simulations are given to verify the correctness of the theory.

References:

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Last Update: 2019-06-30