A type IV functional response with different shapes in a predator-prey model.

Group defense is a phenomenon that occurs in many predator-prey systems. Different functional responses with substantially different properties representing such a mechanism exist. Here, we develop a functional response using timescale separation.

Disease-induced chaos, coexistence, oscillations, and invasion failure in a competition-model with strong Allee effect.

Biological invasions have impacts on diverse social, ecological, and economic issues. Among others, invasion success can be determined by epidemiological aspects, intraspecific dynamics as, e.g.

The Effects of Stochasticity on Pattern Formation in a Space- and Time-Discrete Predator-Prey System with Strong Allee Effect in the Prey.

The effects of demographic and environmental noise on the vital dynamics and spatial pattern formation are studied for a predator-prey system with strong Allee effect in the prey species. Time and space are taken discrete. It is shown that noise can promote extinction depending on the growth and interaction parameters as well as the noise type and amplitude.

Wave pinning in competition-diffusion models in variable environments.

Numerical results on conditions for the emergence of propagation failure of diffusive fronts in two-species competition models for populations with either logistic growth or strong Allee effect are presented. Particularly, the stability against environmental perturbations is investigated. Two different density dependencies of the noise intensities are considered.