Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Xiao, Dongyuan"'
We consider the solution to the scalar Fisher-KPP equation with front-like initial data, focusing on the location of its level sets at large times, particularly their deviation from points moving at the known spreading speed. We consider an intermedi
Externí odkaz:
http://arxiv.org/abs/2410.07715
Autor:
Xiao, Dongyuan, Zhou, Maolin
It is well-known that traveling waves with the minimal speed in monotone dynamical systems are typically categorized into two types: pushed fronts and pulled fronts. In this paper, using a new approach, we identify a general rule for monotone dynamic
Externí odkaz:
http://arxiv.org/abs/2409.12463
In this paper, we first focus on the speed selection problem for the reaction-diffusion equation of the monostable type. By investigating the decay rates of the minimal traveling wave front, we propose a sufficient and necessary condition that reveal
Externí odkaz:
http://arxiv.org/abs/2408.10480
Autor:
Xiao, Dongyuan
This paper mainly focuses on the sign of the wave speed in the Lotka-Volterra competition system of bistable type, also known as the strong-strong competition case. The traveling wave solution of the system is crucial for understanding the long-time
Externí odkaz:
http://arxiv.org/abs/2408.10481
Autor:
Xiao, Dongyuan, Mori, Ryunosuke
In this paper, we investigate the spreading properties of solutions of the Aoki-Shida-Shigesada model. This model is a three-component reaction-diffusion system that delineates the geographical expansion of an initially localized population of farmer
Externí odkaz:
http://arxiv.org/abs/2404.00907
In this paper, we mainly consider the speed selection problem for the classical Lotka-Volterra competition system. For the first time, we propose a sufficient and necessary condition for this long-standing problem from a new point of view. Moreover,
Externí odkaz:
http://arxiv.org/abs/2207.03371
We consider the classical two-species Lotka-Volterra competition-diffusion system in the strong-weak competition case. When the corresponding minimal speed of the traveling waves is not linear determined, we establish the precise asymptotic behavior
Externí odkaz:
http://arxiv.org/abs/2201.04389
Autor:
Alfaro, Matthieu, Xiao, Dongyuan
We consider the reaction-diffusion competition system in the so-called {\it critical competition case}. The associated ODE system then admits infinitely many equilibria, which makes the analysis intricate. We first prove the non-existence of {\it ult
Externí odkaz:
http://arxiv.org/abs/2109.15074
Autor:
Xiao, Dongyuan
In this paper, we investigate the expanding patterns and spreading speed of solutions of farmer and hunter-gatherer model which is a three-component degenerate reaction-diffusion system. Ecologically speaking, since the lifestyle of agriculture and s
Externí odkaz:
http://arxiv.org/abs/1812.04993
Autor:
Xiao, Dongyuan, Ryunosuke, Mori
In this paper, we investigate the spreading properties of solutions of farmer and hunter-gatherer model which is a three-component reaction-diffusion system. Ecologically, the model describes the geographical spreading of an initially localized popul
Externí odkaz:
http://arxiv.org/abs/1812.04440