This article establishes the monotonicity, uniqueness and Liapunov stability of traveling waves for bistable systems with delay. We use an elementary super-subsolution comparison method and a moving plane technique. Also an example is given to illustrate our results
Traveling waves play a key role in mathematical models since they characterize observable fundamenta...
Trofimchuk, S (Trofimchuk, Sergei). Univ Talca, Inst Matemat & Fis, Talca, ChileFollowing J.D. Murra...
Key words. Delayed reaction-diffusion equations, comparison principle, super- and sub-solutions, tra...
International audienceWe consider a bistable ($0<\theta<1$ being the three constant steady states) d...
[[abstract]]We study the stability and uniqueness of nonzero speed traveling waves for a three-compo...
We study traveling waves for a two-dimensional lattice dynamical system with bistable nonlinearity i...
Abstract. We study the traveling waves for a lattice dynamical system with monostable non-linearity ...
There have been extensive investigations on monostable traveling waves and spreading speeds for vari...
AbstractWe study the traveling waves for a lattice dynamical system with monostable nonlinearity in ...
(Communicated by Masaharu Taniguchi) Abstract. This paper is concerned with the stability of non-mon...
AbstractThe current series of two papers is concerned with traveling wave solutions of time almost p...
The paper is devoted to a reaction-diffusion equation with delay arising in modeling the immune resp...
International audienceThe paper is devoted to a reaction-diffusion equation with delay arising in mo...
[[abstract]]We study traveling waves for a two-dimensional lattice dynamical system with monostable ...
Abstract. We establish asymptotics and uniqueness (up to translation) of travelling waves for delaye...
Traveling waves play a key role in mathematical models since they characterize observable fundamenta...
Trofimchuk, S (Trofimchuk, Sergei). Univ Talca, Inst Matemat & Fis, Talca, ChileFollowing J.D. Murra...
Key words. Delayed reaction-diffusion equations, comparison principle, super- and sub-solutions, tra...
International audienceWe consider a bistable ($0<\theta<1$ being the three constant steady states) d...
[[abstract]]We study the stability and uniqueness of nonzero speed traveling waves for a three-compo...
We study traveling waves for a two-dimensional lattice dynamical system with bistable nonlinearity i...
Abstract. We study the traveling waves for a lattice dynamical system with monostable non-linearity ...
There have been extensive investigations on monostable traveling waves and spreading speeds for vari...
AbstractWe study the traveling waves for a lattice dynamical system with monostable nonlinearity in ...
(Communicated by Masaharu Taniguchi) Abstract. This paper is concerned with the stability of non-mon...
AbstractThe current series of two papers is concerned with traveling wave solutions of time almost p...
The paper is devoted to a reaction-diffusion equation with delay arising in modeling the immune resp...
International audienceThe paper is devoted to a reaction-diffusion equation with delay arising in mo...
[[abstract]]We study traveling waves for a two-dimensional lattice dynamical system with monostable ...
Abstract. We establish asymptotics and uniqueness (up to translation) of travelling waves for delaye...
Traveling waves play a key role in mathematical models since they characterize observable fundamenta...
Trofimchuk, S (Trofimchuk, Sergei). Univ Talca, Inst Matemat & Fis, Talca, ChileFollowing J.D. Murra...
Key words. Delayed reaction-diffusion equations, comparison principle, super- and sub-solutions, tra...