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 …

Explanations for the patchy distribution of marine phytoplankton are critically reviewed with
the focus on the role played by lateral advection and mixing. Generating mechanisms for …

Nonlinear dynamics and chaotic and complex systems constitute some of the most
fascinating developments of late twentieth century mathematics and physics. The …

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 …

We present two finite-difference algorithms for studying the dynamics of spatially extended
predator–prey interactions with the Holling type II functional response and logistic growth of …

Using spatially coupled predator–prey systems as an example of a cyclic ecological system
where coexistence depends on oscillations, transient dynamics of models where there are …

The spatiotemporal pattern formation and selection driven by nonlinear cross-diffusion of a
toxic-phytoplankton–zooplankton model with Allee effect is investigated in this paper. We …

Recent field experiments on vertebrates show that though mere presence of a predator
causes a dramatic change in prey demography, the fear of predators increases the survival …

The dynamics of a simple prey–predator system is described by a system of two reaction-
diffusion equations with biologically reasonable non-linearities (logistic growth of the prey …

Periodic travelling waves have been reported in a number of recent spatio-temporal field
studies of populations undergoing multi-year cycles. Mathematical modelling has a major …