Predator–prey models: A review of some recent advances

É Diz-Pita, MV Otero-Espinar - Mathematics, 2021 - mdpi.com
In recent years, predator–prey systems have increased their applications and have given
rise to systems which represent more accurately different biological issues that appear in the …

Time averaging and emerging nonergodicity upon resetting of fractional Brownian motion and heterogeneous diffusion processes

W Wang, AG Cherstvy, H Kantz, R Metzler, IM Sokolov - Physical Review E, 2021 - APS
How different are the results of constant-rate resetting of anomalous-diffusion processes in
terms of their ensemble-averaged versus time-averaged mean-squared displacements …

Heterogeneous diffusion with stochastic resetting

T Sandev, V Domazetoski, L Kocarev… - Journal of Physics A …, 2022 - iopscience.iop.org
We study a heterogeneous diffusion process (HDP) with position-dependent diffusion
coefficient and Poissonian stochastic resetting. We find exact results for the mean squared …

Random search with resetting in heterogeneous environments

L Menon Jr, C Anteneodo - Physical Review E, 2024 - APS
We investigate random searches under stochastic position resetting at rate r, in a bounded
1D environment with space-dependent diffusivity D (x). For arbitrary shapes of D (x) and …

Anomalous diffusion, nonergodicity, and ageing for exponentially and logarithmically time-dependent diffusivity: striking differences for massive versus massless …

AG Cherstvy, H Safdari, R Metzler - Journal of Physics D: Applied …, 2021 - iopscience.iop.org
Anomalous diffusion, nonergodicity, and ageing for exponentially and logarithmically time-dependent
diffusivity: striking differences for massive versus massless particles - IOPscience This site …

First-passage functionals of Brownian motion in logarithmic potentials and heterogeneous diffusion

M Radice - Physical Review E, 2023 - APS
We study the statistics of random functionals Z=∫ 0 T [x (t)] γ− 2 dt, where x (t) is the
trajectory of a one-dimensional Brownian motion with diffusion constant D under the effect of …

[PDF][PDF] Some intrinsic properties of adaptive functions to piecewise smooth data

N Kyurkchiev - 2021 - researchgate.net
Untitled Page 1 Page 2 1 Nikolay Kyurkchiev SOME INTRINSIC PROPERTIES OF
ADAPTIVE FUNCTIONS TO PIECEWISE SMOOTH DATA 2021 Page 3 2 . Scientific …

Efficiency of random search with space-dependent diffusivity

MAF Dos Santos, L Menon Jr, C Anteneodo - Physical Review E, 2022 - APS
We address the problem of random search for a target in an environment with a space-
dependent diffusion coefficient D (x). Considering a general form of the diffusion differential …

Edge states of a diffusion equation in one dimension: Rapid heat conduction to the heat bath

S Makino, T Fukui, T Yoshida, Y Hatsugai - Physical Review E, 2022 - APS
We propose a one-dimensional diffusion equation (heat equation) for systems in which the
diffusion constant (thermal diffusivity) varies alternately with a spatial period a. We solve the …

Influence of density-dependent diffusion on pattern formation in a refuge

GG Piva, C Anteneodo - Physica A: Statistical Mechanics and its …, 2025 - Elsevier
We investigate a nonlocal generalization of the Fisher–KPP equation, which incorporates
logistic growth and diffusion, for a single species population in a viable patch (refuge). In this …