Open AccessTraveling wave solutions of an ordinary-parabolic system in R2 and a 2D-strip
Author(s) -
Yanling Tian,
Chufen Wu,
Zhengrong Liu
Publication year - 2016
Publication title -
applicable analysis and discrete mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.69
H-Index - 26
eISSN - 2406-100X
pISSN - 1452-8630
DOI - 10.2298/aadm160418009t
Subject(s) - traveling wave , mathematics , wave speed , mathematical analysis , type (biology) , biology , ecology
We investigate a prey-predator model, which we describe by an ordinary- parabolic system. We obtain four types of wave solutions of this system, which are connecting different equilibria. To establish the existence of four types of traveling wave solutions with double wave speeds, we introduce a new approach to constructing monotonous iteration schemes. Moreover, by using spreading speeds, we establish the non-existence of traveling wave solutions. Our results provide insight into the dynamics of this model system.