Mathematical modelling has long provided critical insights into the complex interactions between predators and their prey. Traditional approaches, such as the Lotka–Volterra model, lay the foundation ...

Interactions between predator and prey may provide stability for ecosystems, according to a new mathematical model. The existing model, developed by Robert M. May, proposes that ecosystems with large ...

Food-web stability is enhanced when many diverse predator-prey links connect high and intermediate trophic levels. The computations also reveal that small ecosystems follow other rules than large ...

We studied a prey—predator system in which both species evolve. We discuss here the conditions that result in coevolution towards a stable equilibrium or towards oscillations. First, we show that a ...

A famous mathematical formula which shook the world of ecology 40 years ago has been revisited and refined. A famous mathematical formula which shook the world of ecology 40 years ago has been ...

In this paper, we consider positive solutions of a predator-prey model with diffusion and under homogeneous Dirichlet boundary conditions. It turns out that a certain parameter m in this model plays a ...