296 research outputs found
Propagation of Delayed Lattice Differential Equations without Local Quasimonotonicity
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 presenting
the existence and nonexistence of traveling wave solutions
Travelling wavefronts in nonlocal diffusion equations with nonlocal delay effects
This paper deals with the existence, monotonicity, uniqueness and asymptotic
behaviour of travelling wavefronts for a class of temporally delayed, spatially
nonlocal diffusion equations
Pushed traveling fronts in monostable equations with monotone delayed reaction
We study the existence and uniqueness of wavefronts to the scalar
reaction-diffusion equations with monotone delayed reaction term and . We are mostly interested in the situation when the graph of is not
dominated by its tangent line at zero, i.e. when the condition , is not satisfied. It is well known that, in such a case, a
special type of rapidly decreasing wavefronts (pushed fronts) can appear in
non-delayed equations (i.e. with ). One of our main goals here is to
establish a similar result for . We prove the existence of the minimal
speed of propagation, the uniqueness of wavefronts (up to a translation) and
describe their asymptotics at . We also present a new uniqueness
result for a class of nonlocal lattice equations.Comment: 17 pages, submitte
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