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International Conference on Instrumentation, Measurement, Circuits and Systems (ICIMCS 2011)

By
Chen Ming
Chen Ming
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ISBN:
9780791859902
No. of Pages:
1400
Publisher:
ASME Press
Publication date:
2011

The effect of gestation delay on a singular bioeconomic model is investigated, which is described by differential-algebraic equations due to a economic theory. Local stability and Hopf bifurcation condition are described on the singular bioeconomic model with time delay. It reveals the sensitivity of the bioeconomic model dynamics on gestation time delay. A phenomenon of Hopf bifurcation occurs as the gestation time delay increases through a certain threshold. Numerical simulations are carried out to substantiate these theory analysis.

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