Dynamics of weakly interacting front and back waves in three-component systems

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Author(s)

Abstract

Weak interaction of stable travelling front and back solutions is considered for three-component systems with competition and diffusion.In the previous paper [I], the existence and the stability property of standing pulse solutions are proved, which are static results after interaction.Here an ODE system, which describes the dynamics of layer positions where travelling front and back solutions are interacting each other, is given. By using this system, wave blocking and annihilation phenomena are studied and compared with the results in [I].

Journal

  • Toyama mathematical journal

    Toyama mathematical journal (30), 1-34, 2007

    Dept. of Mathematics, Faculty of Science, University of Toyama

Codes

  • NII Article ID (NAID)
    120002599127
  • NII NACSIS-CAT ID (NCID)
    AA12137369
  • Text Lang
    ENG
  • Article Type
    departmental bulletin paper
  • ISSN
    1880-6015
  • Data Source
    IR 
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