Stationary States of a Delay Differentional Equation of Insect Population’s Dynamics

Stationary States of a Delay Differentional Equation of Insect Population’s Dynamics

Relaxation oscillations in a first order differential equation with two delays are considered. On the basis of a special asymptotic big parameter method the problem of studying dynamics of an equation is reduced to the analysis of nonlinear mappings. Each cycle of these mappings corresponds to a per...

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Veröffentlicht in:Modelirovanie i analiz informacionnyh sistem 2015-03, Vol.19 (5), p.18-34
1. Verfasser: Kaschenko, S. A.
Format: Artikel
Sprache:eng
Schlagworte:
asymptotic
delay differential equation
large parameter
periodic solution
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Beschreibung
Zusammenfassung:Relaxation oscillations in a first order differential equation with two delays are considered. On the basis of a special asymptotic big parameter method the problem of studying dynamics of an 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.
ISSN:1818-1015
2313-5417
DOI:10.18255/1818-1015-2012-5-18-34