Time effect on the dynamical behavior of a life energy system dynamic model

Volume 10, Issue 2, pp 656--670 http://dx.doi.org/10.22436/jnsa.010.02.28

Publication Date: February 20, 2017 Submission Date: October 18, 2016

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Authors

Changjin Xu - Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550004, P. R. China. Peiluan Li - School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, P. R. China.

Abstract

This article is concerned with a life energy system dynamic model with two different delays. A set of sufficient criteria which ensures the local stability and the existence of Hopf bifurcation for the model is derived. Some explicit formulas which determine the nature of Hopf bifurcations are obtained by means of the normal form theory and center manifold theorem. Our analytical findings are supported by numerical experiments. Finally, a brief conclusion is included.

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Keywords

• Life energy system model (LESM)
• delay
• stability
• Hopf bifurcation.

MSC

•  34K20
•  34C25

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