This paper discusses the recent progress in understanding the properties of transient
dynamics in complex ecological systems. Predicting long-term trends as well as sudden …

The use of predator–prey models in theoretical ecology has a long history, and the model
equations have largely evolved since the original Lotka–Volterra system towards more …

Mathematical models serve many purposes in biology. Each and every model is a
necessary simplification of reality, and, as simplifications, these models are also wrong by …

We consider the effect of global warming on the coupled plankton-oxygen dynamics in the
ocean. The net oxygen production by phytoplankton is known to depend on the water …

Traditionally, mathematical modeling in population ecology is mainly focused on asymptotic
behavior of the model, ie as given by the system attractors. Recently, however, transient …

Sensitivity analysis, the study of how ecological variables of interest respond to changes in
external conditions, is a theoretically well‐developed and widely applied approach in …

Understanding of complex trophic interactions in ecosystems requires correct descriptions of
the rate at which predators consume a variety of different prey species. Field and laboratory …

There is growing evidence that ecological interactions are often nonlocal. Correspondingly,
increasing attention is paid to mathematical models with nonlocal terms as such models may …

It has long been recognized that numerical modelling and computer simulations can be
used as a powerful research tool to understand, and sometimes to predict, the tendencies …

It is well recognized that models in the life sciences can be sensitive to small variations in
their model functions, a phenomenon known as 'structural sensitivity'. Conventionally …