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Coefficient Determination via Asymptotic Spreading Speeds

Inverse Problems, 2014
International audienceIn this paper, we analyze the inverse problem of determining the reaction term f (x, u) in reaction-diffusion equations of the form ∂tu − D∂xxu = f (x, u), where f is assumed to be periodic with respect to x ∈ R.
Lionel Roques, Michel Cristofol
exaly   +2 more sources

Precise Asymptotic Spreading Behavior for an Epidemic Model With Nonlocal Dispersal

Taiwanese Journal of Mathematics
This paper is to derive the precise asymptotic spreading behavior for an epidemic model with nonlocal dispersal. The proof is based on a Liouville type theorem on the positive bounded entire solutions.
Jong-Shenq Guo
exaly   +2 more sources

Spreading Speed and Sharp Asymptotic Profiles of Solutions in Free Boundary Problems for Nonlinear Advection–Diffusion Equations

Journal of Mathematical Analysis and Applications, 2015
Hiroshi Matsuzawa, Yuki Kaneko
exaly  

Asymptotic Spreading in Heterogeneous Diffusive Excitable Media

Journal of Functional Analysis, 2008
Henri Berestycki, François Hamel
exaly  

Asymptotic Spreading of a Diffusive Competition Model With Different Free Boundaries

Journal of Differential Equations, 2019
Haomin Huang, Mingxin Wang, Siyu Liu
exaly  

The Breakdown of Asymptotic Hydrodynamic Models of Liquid Spreading at Increasing Capillary Number

Physics of Fluids, 1995
Stephen Garoff, E Ramé
exaly  

Asymptotic Speeds of Spreading for the Lotka-Volterra System With Strong Competition in (R)^(N)

Discrete and Continuous Dynamical Systems - Series B
Hongjun Guo
exaly  

The Asymptotic Spreading Speed of a Free Boundary Problem With Resource-Dependent Motility

Mathematical Methods in the Applied Sciences
exaly  

Asymptotic Stability of a Rumor Spreading Model With Three Time Delays and Two Saturation Functions

Mathematics
Time delays and saturation effects are critical elements describing complex rumor spreading behaviors. In this article, a rumor spreading model with three time delays and two saturation functions is proposed.
Xiaofan Yang, Luxing Yang, Chunlong Fu
exaly   +4 more sources

Asymptotic speed of spreading in a delay lattice differential equation without quasimonotonicity

Electronic Journal of Differential Equations, 2014
This article concerns the asymptotic speed of spreading in a delay lattice differential equation without quasimonotonicity. We obtain the speed of spreading by constructing an auxiliary undelayed equation, whose speed of spreading is the same as ...
Fuzhen Wu
doaj   +1 more source