Propagation of delayed lattice differential equations without local quasimonotonicity

Shuxia Pan. "Propagation of delayed lattice differential equations without local quasimonotonicity." Annales Polonici Mathematici 114.3 (2015): 219-233. <http://eudml.org/doc/280265>.

@article{ShuxiaPan2015,
abstract = {This paper is concerned with the traveling wave solutions and asymptotic spreading of delayed lattice differential equations without quasimonotonicity. The spreading speed is obtained by constructing auxiliary equations and using the theory of lattice differential equations without time delay. The minimal wave speed of invasion traveling wave solutions is established by investigating the existence and nonexistence of traveling wave solutions.},
author = {Shuxia Pan},
journal = {Annales Polonici Mathematici},
keywords = {auxiliary equation; asymptotic spreading; traveling wave solutions},
language = {eng},
number = {3},
pages = {219-233},
title = {Propagation of delayed lattice differential equations without local quasimonotonicity},
url = {http://eudml.org/doc/280265},
volume = {114},
year = {2015},
}

TY - JOUR
AU - Shuxia Pan
TI - Propagation of delayed lattice differential equations without local quasimonotonicity
JO - Annales Polonici Mathematici
PY - 2015
VL - 114
IS - 3
SP - 219
EP - 233
AB - This paper is concerned with the traveling wave solutions and asymptotic spreading of delayed lattice differential equations without quasimonotonicity. The spreading speed is obtained by constructing auxiliary equations and using the theory of lattice differential equations without time delay. The minimal wave speed of invasion traveling wave solutions is established by investigating the existence and nonexistence of traveling wave solutions.
LA - eng
KW - auxiliary equation; asymptotic spreading; traveling wave solutions
UR - http://eudml.org/doc/280265
ER -