Control of multistability
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 …
most exciting phenomena in dynamical systems. It can be found in different areas of science …
Bacterial growth: a statistical physicist's guide
Bacterial growth presents many beautiful phenomena that pose new theoretical challenges
to statistical physicists, and are also amenable to laboratory experimentation. This review …
to statistical physicists, and are also amenable to laboratory experimentation. This review …
Pattern transitions in spatial epidemics: Mechanisms and emergent properties
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 …
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 …
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
Stochastic competitive models with pollution and without pollution are proposed and
studied. For the first system with pollution, sufficient criteria for extinction, nonpersistence in …
studied. For the first system with pollution, sufficient criteria for extinction, nonpersistence in …
Seasonality in ecology: Progress and prospects in theory
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 …
of seasonality have been vastly underappreciated. Early work emphasized the role of …
Time series analysis via mechanistic models
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 …
hypothesized structure of a dynamical system with observations collected over time. We …
Effects of stochasticity on the length and behaviour of ecological transients
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 …
far away from an asymptotic state, and that ecological understanding will therefore require a …
The role of environmental transmission in recurrent avian influenza epidemics
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 …
outbreaks every 2–4 years. Attempts to explain the patterns of periodicity and persistence …
On methods for studying stochastic disease dynamics
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 …
stochasticity in ecology, epidemiology and evolution. An increasingly common approach to …