STABILITY AND TRAVELING WAVES OF DIFFUSIVE PREDATOR-PREY MODEL WITH AGE-STRUCTURE AND NONLOCAL EFFECT | Zendy

Kai Hong | Zendy; Peixuan Weng | Zendy

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STABILITY AND TRAVELING WAVES OF DIFFUSIVE PREDATOR-PREY MODEL WITH AGE-STRUCTURE AND NONLOCAL EFFECT

Author(s) -

Kai Hong,

Peixuan Weng

Publication year - 2012

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2012013

Subject(s) - mathematics , traveling wave , regular polygon , bounded function , mathematical analysis , stability (learning theory) , fixed point theorem , fixed point , schauder fixed point theorem , picard–lindelöf theorem , geometry , machine learning , computer science

The paper is concerned with the dynamical behaviors of a stage-structured diffusive predator-prey model with nonlocal effect and harvesting. The linear stability of the equilibria is investigated by using the characteristic equation technique. By constructing a closed convex set bounded by a pair of upper-lower solutions and using Schauder fixed point theorem, the existence of traveling wave solution connecting two steady states is also derived. Finally, a pair of upper-lower solutions is constructed by using inequality technique and characteristic equations.

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