The Modeling and Control of a Singular Biological Economic System with Time Delay in a Polluted Environment

Yi Zhang, Huiying Zhao and Qingling Zhang

Discrete Dynamics in Nature and Society, 2016, vol. 2016, 1-10

Abstract:

This paper brings up the idea of a biological economic system with time delay in a polluted environment. Firstly, by proper linear transformation and parametric method, the singular time-delay systems are transformed to differential time-delay systems. Then, using center manifold theory and Poincare normal form method, the direction of Hopf bifurcation and the stability and period of its periodic orbits are analysed. At last, we have performed numerical simulation to support the analytical results.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:5036305

DOI: 10.1155/2016/5036305

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