Control of multistability

AN Pisarchik, U Feudel - Physics Reports, 2014 - Elsevier
Multistability or coexistence of different attractors for a given set of parameters is one of the
most exciting phenomena in dynamical systems. It can be found in different areas of science …

Bacterial growth: a statistical physicist's guide

RJ Allen, B Waclaw - Reports on Progress in Physics, 2018 - iopscience.iop.org
Bacterial growth presents many beautiful phenomena that pose new theoretical challenges
to statistical physicists, and are also amenable to laboratory experimentation. This review …

Pattern transitions in spatial epidemics: Mechanisms and emergent properties

GQ Sun, M Jusup, Z **, Y Wang, Z Wang - Physics of life reviews, 2016 - Elsevier
Infectious diseases are a threat to human health and a hindrance to societal development.
Consequently, the spread of diseases in both time and space has been widely studied …

Mathematical models in the evaluation of health programmes

GP Garnett, S Cousens, TB Hallett, R Steketee… - The Lancet, 2011 - thelancet.com
Modelling is valuable in the planning and evaluation of interventions, especially when a
controlled trial is ethically or logistically impossible. Models are often used to calculate the …

Survival analysis of stochastic competitive models in a polluted environment and stochastic competitive exclusion principle

M Liu, K Wang, Q Wu - Bulletin of mathematical biology, 2011 - Springer
Stochastic competitive models with pollution and without pollution are proposed and
studied. For the first system with pollution, sufficient criteria for extinction, nonpersistence in …

Seasonality in ecology: Progress and prospects in theory

ER White, A Hastings - Ecological Complexity, 2020 - Elsevier
Seasonality is an important feature of essentially all natural systems but the consequences
of seasonality have been vastly underappreciated. Early work emphasized the role of …

Time series analysis via mechanistic models

C Bretó, D He, EL Ionides, AA King - The Annals of Applied Statistics, 2009 - JSTOR
The purpose of time series analysis via mechanistic models is to reconcile the known or
hypothesized structure of a dynamical system with observations collected over time. We …

Effects of stochasticity on the length and behaviour of ecological transients

A Hastings, KC Abbott… - Journal of the …, 2021 - royalsocietypublishing.org
There is a growing recognition that ecological systems can spend extended periods of time
far away from an asymptotic state, and that ecological understanding will therefore require a …

The role of environmental transmission in recurrent avian influenza epidemics

R Breban, JM Drake, DE Stallknecht… - PLoS computational …, 2009 - journals.plos.org
Avian influenza virus (AIV) persists in North American wild waterfowl, exhibiting major
outbreaks every 2–4 years. Attempts to explain the patterns of periodicity and persistence …

On methods for studying stochastic disease dynamics

MJ Keeling, JV Ross - Journal of the Royal Society …, 2008 - royalsocietypublishing.org
Models that deal with the individual level of populations have shown the importance of
stochasticity in ecology, epidemiology and evolution. An increasingly common approach to …