Speaker
Description
This study investigates a predator–prey system incorporating a transmissible disease that spreads exclusively within the prey population and intraspecific competition among predators. The dynamics are modeled using a system of reaction–diffusion equations to account for both local interactions and spatial movement. In this system, we focus on the occurrence of diffusion-driven instability, or Turing instability. Using linear stability analysis, we determine parameter regimes under which diffusion destabilizes the stable homogeneous interior equilibrium. This instability can lead to the emergence of spatially heterogeneous structures known as Turing patterns, which may correspond to clustering phenomena observed in ecological systems. Numerical simulations are performed in a two-dimensional spatial domain in order to illustrate these dynamics. The results demonstrate the emergence of complex spatial patterns and emphasize the significant role of diffusion coefficients in shaping spatial heterogeneity. These findings provide insight into the mechanisms underlying spatial pattern formation in predator–prey interactions influenced by prey infection and predator competition.
