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Hopf bifurcation and stability for a differential-algebraic biological economic system
2010
Applied Mathematics and Computation
In this paper, we analyze the stability and Hopf bifurcation of the biological economic system based on the new normal form and the Hopf bifurcation theorem. The basic model we consider is owed to a ratio-dependent predator-prey system with harvesting, compared with other researches on dynamics of predator-prey population, this system is described by differential-algebraic equations due to economic factor. Here l as bifurcation parameter, it is found that periodic solutions arise from stable
doi:10.1016/j.amc.2010.05.065
fatcat:bnhgpruqcfaejbtbmjzuqf53ue