Local Stability Analysis for a Delayed Differential-algebraic Biological Economic System with Ratio-dependent Functional Response

نویسندگان

  • Lianwang Deng
  • Miao Peng
چکیده

Abstract: This paper is concerned with a delayed differential-algebraic biological economic system. Firstly, the differential-algebraic system is transformed into a differential system by employing the local parameterization method of differential-algebraic system, and then the sufficient conditions for the local stability and the existence of Hopf bifurcation are established by regarding the time delay as the bifurcation parameter. Finally, numerical simulations are given to verify the theoretical analysis.

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تاریخ انتشار 2014