Hopf bifurcation for a differential‐algebraic biological economic system with time delay

Hopf bifurcation for a differential‐algebraic biological economic system with time delay

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Article ID: iaor20122955
Volume: 218
Issue: 15
Start Page Number: 7717
End Page Number: 7726
Publication Date: Apr 2012
Journal: Applied Mathematics and Computation
Authors: , , ,
Keywords: economics, optimization: simulated annealing
Abstract:

In this paper, we consider a differential–algebraic biological economic system with time delay and harvesting where the dynamics is logistic with the carrying capacity proportional to prey population. By considering the time delay as bifurcation parameter, we analyze the stability and the Hopf bifurcation of the differential–algebraic biological economic system based on the normal form approach and the center manifold theory. At last, numerical simulations are performed to illustrate the analytical results.

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