[LIBRO][B] Spatiotemporal patterns in ecology and epidemiology: theory, models, and simulation

H Malchow, SV Petrovskii, E Venturino - 2007 - taylorfrancis.com
Although the spatial dimension of ecosystem dynamics is now widely recognized, the
specific mechanisms behind species patterning in space are still poorly understood and the …

[LIBRO][B] Noise-induced phenomena in the environmental sciences

L Ridolfi, P D'Odorico, F Laio - 2011 - books.google.com
Randomness is ubiquitous in nature. Random drivers are generally considered a source of
disorder in environmental systems. However, the interaction between noise and nonlinear …

Robust ecological pattern formation induced by demographic noise

T Butler, N Goldenfeld - Physical Review E—Statistical, Nonlinear, and Soft …, 2009 - APS
We demonstrate that demographic noise can induce persistent spatial pattern formation and
temporal oscillations in the Levin-Segel predator-prey model for plankton-herbivore …

Fluctuation-driven Turing patterns

T Butler, N Goldenfeld - Physical Review E—Statistical, Nonlinear, and Soft …, 2011 - APS
Models of diffusion-driven pattern formation that rely on the Turing mechanism are utilized in
many areas of science. However, many such models suffer from the defect of requiring fine …

Sensitivity analysis of the noise-induced oscillatory multistability in Higgins model of glycolysis

L Ryashko - Chaos: An Interdisciplinary Journal of Nonlinear …, 2018 - pubs.aip.org
A phenomenon of the noise-induced oscillatory multistability in glycolysis is studied. As a
basic deterministic skeleton, we consider the two-dimensional Higgins model. The noise …

Characterizing the next-generation matrix and basic reproduction number in ecological epidemiology

MG Roberts, JAP Heesterbeek - Journal of mathematical biology, 2013 - Springer
We address the interaction of ecological processes, such as consumer-resource
relationships and competition, and the epidemiology of infectious diseases spreading in …

Anticipating critical transitions in multidimensional systems driven by time-and state-dependent noise

A Morr, K Riechers, LR Gorjão, N Boers - Physical Review Research, 2024 - APS
Anticipating bifurcation-induced transitions in dynamical systems has gained relevance in
various fields of the natural, social, and economic sciences. Before the annihilation of a …

Resonance of plankton communities with temperature fluctuations

E Beninca, V Dakos, EH Van Nes… - The American …, 2011 - journals.uchicago.edu
The interplay between intrinsic population dynamics and environmental variation is still
poorly understood. It is known, however, that even mild environmental noise may induce …

Noise-induced shifts in the population model with a weak Allee effect

I Bashkirtseva, L Ryashko - Physica A: Statistical Mechanics and its …, 2018 - Elsevier
Abstract We consider the Truscott–Brindley system of interacting phyto-and zooplankton
populations with a weak Allee effect. We add a random noise to the parameter of the prey …

Bifurcation analysis of a singular predator–prey plankton system with biotoxin delay and constant harvesting

X Ai, Y Zhang - Nonlinear Dynamics, 2025 - Springer
In this paper, considering the delayed effect of biological toxins and human constant
harvesting, a class of plankton-zooplankton predator–prey model with discrete delay is …