sciences. In this paper, we consider a mathematical model of predator–prey interaction subject to self as well as cross-diffusion … simulations of time evolution of patterns subject to self as well as cross-diffusion in the proposed spatial model and find that … effect of self as well as cross-diffusion plays an important role on the stationary pattern formation of the predator …

–Volterra), population pressure (cross-diffusion) and environmental heterogeneity (environmental potential). The environmental potential and … regularized version of the cross-diffusion population model, which we use to numerically demonstrate the behavior of the system. …

In this paper, spatial dynamics in the Beddington–DeAngelis predator–prey model with self-diffusion and cross-diffusion …

The concept of cross diffusion is applied to some biological systems. The conditions for persistence and Turing … instability in the presence of cross diffusion are derived. Many examples including: predator-prey, epidemics (with and without …