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Steady states of a delay differential equation of an insect population’s dynamics

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Abstract

Relaxation oscillations in a first order differential equation with two delays are considered. Based on a special asymptotic large parameter method, the problem of studying the dynamics of the equation is reduced to the analysis of nonlinear mappings. Each cycle of these mappings corresponds to a periodic solution of the initial equation with the same stability.

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Correspondence to S. A. Kashchenko.

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Original Russian Text © S.A. Kashchenko, 2012, published in Modelirovanie i Analiz Informatsionnykh Sistem, 2012, No. 5, pp. 18–34.

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Kashchenko, S.A. Steady states of a delay differential equation of an insect population’s dynamics. Aut. Control Comp. Sci. 48, 445–457 (2014). https://doi.org/10.3103/S0146411614070116

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  • DOI: https://doi.org/10.3103/S0146411614070116

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