Fisher-KPP equations and applications to a model in medical sciences
Networks and Heterogeneous Media, 2018 This paper is devoted to a class of reaction-diffusion equations with nonlinearities depending on time modeling a cancerous process with chemotherapy. We begin by considering nonlinearities periodic in time.
Benjamin Contri
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Topography driven spreading [PDF]
, 2004 Roughening a hydrophobic surface enhances its nonwetting properties into superhydrophobicity. For liquids other than water, roughness can induce a complete rollup of a droplet.
A. M. Cazabat +19 more
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An extension of the formula for spreading speeds
Mathematical Biosciences and Engineering, 2010 A well-known formula for the spreading speed of a discrete-time recursion model is extended to a class of problems for which its validity was previously unknown. These include migration models with moderately fat tails or fat tails. Examples of such models are given.
Hans F. Weinberger, Xiao-Qiang Zhao
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Positive Stationary Solutions and Spreading Speeds of KPP Equations in Locally Spatially Inhomogeneous Media [PDF]
, 2011 The current paper is concerned with positive stationary solutions and spatial spreading speeds of KPP type evolution equations with random or nonlocal or discrete dispersal in locally spatially inhomogeneous media. It is shown that such an equation has a
Kong, Liang, Shen, Wenxian
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Dynamics of a time-periodic and delayed reaction-diffusion model with a quiescent stage
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper, we study a time-periodic and delayed reaction-diffusion system with quiescent stage in both unbounded and bounded habitat domains. In unbounded habitat domain $\mathbb{R}$, we first prove the existence of the asymptotic spreading speed and
Shuang-Ming Wang, Liang Zhang
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Bistable traveling wave solutions in a competitive recursion system with Ricker nonlinearity
Electronic Journal of Qualitative Theory of Differential Equations, 2014 Using an abstract scheme of monotone semiflows, the existence of bistable traveling wave solutions of a competitive recursion system is established. From the viewpoint of population dynamics, the bistable traveling wave solutions describe the strong ...
Shuxia Pan, Jie Liu
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Varying the direction of propagation in reaction-diffusion equations in periodic media [PDF]
, 2015 We consider a multidimensional reaction-diffusion equation of either ignition or monostable type, involving periodic heterogeneity, and analyze the dependence of the propagation phenomena on the direction.
Alfaro, Matthieu, Giletti, Thomas
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Dynamics of capillary spreading along hydrophilic microstripes [PDF]
, 2001 We have studied the capillary spreading of a Newtonian liquid along hydrophilic microstripes that are chemically defined on a hydrophobic substrate. The front of the spreading film advances in time according to a power law x=Bt1/2.
Darhuber, Anton A. +2 more
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Spreading speeds and traveling waves for non-cooperative reaction-diffusion systems
, 2010 Much has been studied on the spreading speed and traveling wave solutions for cooperative reaction-diffusion systems. In this paper, we shall establish the spreading speed for a large class of non-cooperative reaction-diffusion systems and characterize ...
Wang, Haiyan
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Dynamic contact angle and three-phase contact line of water drop on copper surface [PDF]
, 2015 Nowadays there is a lack of experimental data describing the physical process of drop spreading on a solid metal surface for developing wetting and spreading theory.
Batishcheva, K. A. +2 more
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