Numerical solutions of random mean square Fisher‐KPP models with advection
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5942
Abstract: This paper deals with the construction of numerical stable solutions of random mean square Fisher‐Kolmogorov‐Petrosky‐Piskunov (Fisher‐KPP) models with advection. The construction of the numerical scheme is performed in two stages. Firstly, a semidiscretization technique transforms… read more here.
Keywords: kpp models; fisher kpp; random mean; mean square ... See more keywords
Global Solutions to a Nonlocal Fisher-KPP Type Problem
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DOI: 10.1007/s10440-016-0075-0
Abstract: We consider a nonlocal Fisher-KPP reaction-diffusion model arising from population dynamics, consisting of a certain type reaction term uα(1−∫Ωuβdx)$u^{\alpha} ( 1-\int_{\varOmega}u^{\beta}dx ) $, where Ω$\varOmega$ is a bounded domain in Rn(n≥1)$\mathbb{R}^{n}(n \ge1)$. The energy method… read more here.
Keywords: problem; solutions nonlocal; beta; fisher kpp ... See more keywords
Spreading in a cone for the Fisher-KPP equation
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DOI: 10.1016/j.jde.2019.07.014
Abstract: Abstract In this paper we consider the spreading phenomena in the Fisher-KPP equation in a high dimensional cone with Dirichlet boundary condition. We show that any solution starting from a nonnegative and compact supported initial… read more here.
Keywords: spreading cone; fisher kpp; kpp equation;
Precise asymptotics for Fisher–KPP fronts
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DOI: 10.1088/1361-6544/aaffe8
Abstract: We consider the one-dimensional Fisher-KPP equation with step-like initial data. Nolen, Roquejoffre, and Ryzhik showed that the solution $u$ converges at long time to a traveling wave $\phi$ at a position $\tilde \sigma(t) = 2t… read more here.
Keywords: kpp fronts; fisher kpp; initial data; asymptotics fisher ... See more keywords
Global existence for a free boundary problem of Fisher–KPP type
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DOI: 10.1088/1361-6544/ab25af
Abstract: Motivated by the study of branching particle systems with selection, we establish global existence for the solution $(u,\mu)$ of the free boundary problem \[ \begin{cases} \partial_t u =\partial^2_{x} u +u & \text{for $t>0$ and $x>\mu_t$,}\\… read more here.
Keywords: global existence; solution; boundary problem; fisher kpp ... See more keywords
Gradient estimates for the Fisher–KPP equation on Riemannian manifolds
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DOI: 10.1186/s13661-018-0946-6
Abstract: In this paper, we consider positive solutions to the Fisher–KPP equation on complete Riemannian manifolds. We derive the gradient estimate. Using the estimate, we get the classic Harnack inequality which extends the recent result of… read more here.
Keywords: gradient estimates; kpp equation; riemannian manifolds; estimates fisher ... See more keywords