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Age Groups in Hutchinson Equations

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Abstract

The dynamics of a generalized Hutchinson’s equation with two delays is investigated. A local analysis of stability loss for the nonzero equilibrium state of the problem is presented. Main bifurcations are analyzed by means of numerical methods with the aid of obtained asymptotic relations. The bifurcation curves corresponding to principal bifurcations taking place in the system are constructed on the plane of parameters.

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ACKNOWLEDGMENTS

This work was carried out within the framework of the State Programme of the Ministry of Education and Science of the Russian Federation, project no. 1.12873.2018/12.1.

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Authors and Affiliations

  1. Yaroslavl State University, 150000, Yaroslavl, Russia

    S. D. Glyzin

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  1. S. D. Glyzin
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Correspondence to S. D. Glyzin.

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Translated by A. Muravnik

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Glyzin, S.D. Age Groups in Hutchinson Equations. Aut. Control Comp. Sci. 52, 714–727 (2018). https://doi.org/10.3103/S0146411618070088

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  • DOI: https://doi.org/10.3103/S0146411618070088

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