Results 21 to 30 of about 437,891 (285)
On some Free Boundary Problems of the Prey-predator Model [PDF]
, 2014 In this paper we investigate some free boundary problems for the Lotka-Volterra type prey-predator model in one space dimension. The main objective is to understand the asymptotic behavior of the two species (prey and predator) spreading via a free ...
Wang, Mingxin
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Spreading speed revisited: Analysis of a free boundarymodel
Networks and Heterogeneous Media, 2012 We investigate, from a more ecological point of view, a free boundary modelconsidered in [11] and [8] that describes the spreadingof a new or invasive species, with the free boundary representingthe spreading front.
Gary Bunting +2 more
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A proof of anomalous invasion speeds in a system of coupled Fisher-KPP equations [PDF]
, 2014 This article is concerned with the rigorous validation of anomalous spreading speeds in a system of coupled Fisher-KPP equations of cooperative type. Anomalous spreading refers to a scenario wherein the coupling of two equations leads to faster spreading
Holzer, Matt
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Research on Disease Spreading Behavior Oriented to Three-Layer Complex Networks
Applied Sciences, 2022 Disease spreading in multi-layer complex networks often spreads among multiple populations with the help of media. In order to reveal the cross-layer spreading characteristics of diseases and control the cross-layer spreading of diseases by analyzing the
Zhonglin Ye +5 more
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A universal speed limit for spreading of coherence. [PDF]
NatureAbstract Discoveries of fundamental limits for the rates of physical processes, from the speed of light to the Lieb–Robinson bound for information propagation 1,2 , often lead to breakthroughs in the understanding of the underlying physics. Here we observe such a limit for a
Martirosyan G +7 more
europepmc +3 more sources
Linear spreading speeds from nonlinear resonant interaction [PDF]
Nonlinearity, 2017 We identify a new mechanism for propagation into unstable states in spatially extended systems, that is based on resonant interaction in the leading edge of invasion fronts. Such resonant invasion speeds can be determined solely based on the complex linear dispersion relation at the unstable equilibrium, but rely on the presence of a nonlinear term ...
Faye, Grégory +2 more
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Ultrasonics Sonochemistry, 2022 The cavitation characteristics during the spreading of a pure Sn liquid droplet subjected to ultrasonication were studied for the first time through high-speed photography to reveal the wetting mechanism. Ultrasonic vibration realized the spreading of Sn
Zhengwei Li +5 more
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Dynamic wetting and spreading and the role of topography [PDF]
, 2009 Hoffman-de Gennes law, which relates the edge speed, ve, to the dynamic and equilibrium contact angles q and qe by ve µq(q2 -qe 2 ). When the liquid wets the surface completely and the equilibrium contact angle vanishes, the edge speed is proportional to
McHale, Glen +2 more
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Mathematical Biosciences and Engineering, 2008 In this study, we expand on the susceptible-infected-susceptible(SIS) heterosexual mixing setting by including the movement ofindividuals of both genders in a spatial domain in order to morecomprehensively address the transmission dynamics of ...
Carlos Castillo-Chavez, Bingtuan Li
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Spreading Speeds and Traveling Waves for Nonmonotone Integrodifference Equations [PDF]
SIAM Journal on Mathematical Analysis, 2008 Summary: The spreading speeds and traveling waves are established for a class of nonmonotone discrete-time integrodifference equation models. It is shown that the spreading speed is linearly determinate and coincides with the minimal wave speed of traveling waves.
Hsu, Sze-Bi, Zhao, Xiao-Qiang
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