Results 1 to 10 of about 3,609 (160)

Asymptotic spreading in a Lotka–Volterra predator–prey system

Journal of Mathematical Analysis and Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shuxia Pan
exaly   +3 more sources

Coefficient determination via asymptotic spreading speeds [PDF]

Inverse Problems, 2014
In 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. Starting from a family of exponentially decaying initial conditions u0,λ, we show that the solutions uλ of this equation propagate with ...
Michel Cristofol
exaly   +4 more sources

Spreading Speed in A Nonmonotone Equation with Dispersal and Delay

Mathematics, 2019
This paper is concerned with the estimation of spreading speed of a nonmonotone equation, which involves time delay and nonlocal dispersal. Due to the time delay, this equation does not generate monotone semiflows when the positive initial value is given.
Shuxia Pan
exaly   +3 more sources

Rumor spreading dynamics with an online reservoir and its asymptotic stability

Networks and Heterogeneous Media, 2021
<p style='text-indent:20px;'>The spread of rumors is a phenomenon that has heavily impacted society for a long time. Recently, there has been a huge change in rumor dynamics, through the advent of the Internet. Today, online communication has become as common as using a phone.
Hyowon Seo
exaly   +5 more sources

Asymptotic spreading fastened by inter-specific coupled nonlinearities: A cooperative system [PDF]

Physica D: Nonlinear Phenomena, 2012
This paper is concerned with the asymptotic spreading of a Lotka-Volterra cooperative system. By using the theory of asymptotic spreading of nonautonomous equations, the asymptotic speeds of spreading of unknown functions formulated by a coupled system are estimated.
Guo Lin
exaly   +4 more sources

Asymptotic spreading in heterogeneous diffusive excitable media

Journal of Functional Analysis, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Henri Berestycki, François Hamel
exaly   +3 more sources

Asymptotic spreading of time periodic competition diffusion systems

Discrete and Continuous Dynamical Systems - Series B, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guo Lin, Wei-Jian Bo
exaly   +3 more sources

Asymptotic spreading of predator-prey populations in a shifting environment

Mathematics in Applied Sciences and Engineering
Inspired by a recent study associating shifting temperature conditions with changes in the efficiency with which predators convert prey to offspring, we propose a predator prey model of reaction-diffusion type to analyze the consequence of such effects ...
King-Yeung Lam, Ray Lee
doaj   +3 more sources

Precise Asymptotic Spreading Behavior for an Epidemic Model with Nonlocal Dispersal

Taiwanese Journal of Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jong-Shenq Guo, Masahiko Shimojo
exaly   +2 more sources

ASYMPTOTIC SPREADING IN A COMPETITION SYSTEM WITH NONLOCAL DISPERSAL

Journal of Applied Analysis & Computation, 2021
Summary: This paper is concerned with the long time behavior of a competition system with nonlocal dispersal. When the initial conditions of both unknown functions satisfy proper decay behavior, we obtain the rough spreading speed of one unknown function and show the upper and lower bounds of spreading speed of another unknown function.
Yang, Xiaoming, Lin, Guo, Yang, Jianing
openaire   +2 more sources