327 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
On the geometry of wave solutions of a delayed reaction-diffusion equation
The aim of this paper is to study the existence and the geometry of positive
bounded wave solutions to a non-local delayed reaction-diffusion equation of
the monostable type.Comment: 25 pages, several important modifications are made. Some references
added to the previous versio
Traveling wave solutions in delayed nonlocal diffusion systems with mixed monotonicity
AbstractThis paper deals with the existence of traveling wave solutions in delayed nonlocal diffusion systems with mixed monotonicity. Based on two different mixed-quasimonotonicity reaction terms, we propose new definitions of upper and lower solutions. By using Schauder's fixed point theorem and a new cross-iteration scheme, we reduce the existence of traveling wave solutions to the existence of a pair of upper and lower solutions. The general results obtained have been applied to type-K monotone and type-K competitive nonlocal diffusive Lotka–Volterra systems
Traveling plane wave solutions of delayed lattice differential systems in competitive Lotka-Volterra type
99學年度楊定揮教師升等代表著作
100學年度研究獎補助論文[[abstract]]In this work we consider the existence of traveling plane wave solutions of systems of delayed lattice differential equations in competitive Lotka-Volterra type. Employing iterative method coupled with the explicit construction of upper and lower solutions in the theory of weak quasi-monotone dynamical systems, we obtain a speed, c *, and show the existence of traveling plane wave solutions connecting two different equilibria when the wave speeds are large than c *.[[incitationindex]]SCI[[booktype]]紙
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