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Canard travelling waves of the spruce budworm population model

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60461373%3A22340%2F10%3A00023568" target="_blank" >RIV/60461373:22340/10:00023568 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Canard travelling waves of the spruce budworm population model

  • Original language description

    We investigate a model of the spruce budworm population with dispersion. We study the existence of traveling waves by means of a transformation to the moving coordinate. The resulting system of ODEs is a three-dimensional slow--fast system. We show thatthe system exhibits two qualitatively different modes depending on the magnitude of the wave velocity. For small wave velocities the dynamics is quite complex and there are several types of traveling pulses. For large wave velocities we discovered a special class of traveling waves, the so called canard traveling pulses.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2010

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Seminar on Numerical Analysis & Winter School/Proceedings of the conference SNA'10

  • ISBN

    978-80-87136-07-2

  • ISSN

  • e-ISSN

  • Number of pages

    4

  • Pages from-to

  • Publisher name

    Institute of Computer Science CAS

  • Place of publication

    Praha

  • Event location

    Nové Hrady

  • Event date

    Jan 1, 2010

  • Type of event by nationality

    CST - Celostátní akce

  • UT code for WoS article