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 ...

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 ...

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 ...