Publications by authors named "Mohamed Swailem"
Stochastic reaction-diffusion models are employed to represent many complex physical, biological, societal, and ecological systems. The macroscopic reaction rates describing the large-scale, long-time kinetics in such systems are effective, scale-dependent renormalized parameters that need to be either measured experimentally or computed by means of a microscopic model. In a Monte Carlo simulation of stochastic reaction-diffusion systems, microscopic probabilities for specific events to happen serve as the input control parameters.
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- This study examines a stochastic spatial Lotka-Volterra model to analyze predator-prey interactions influenced by periodically changing carrying capacities, which reflect finite food resources for prey.
- The model reveals a continuous phase transition from active to absorbing states, driven by spatiotemporal patterns such as pursuit and evasion waves, with Monte Carlo simulations conducted on a two-dimensional lattice to assess seasonal variations' effects on species coexistence.
- Results show that periodic carrying capacity fluctuations enhance predator-prey coexistence compared to stable environments, though mean-field predictions of period-doubling scenarios are tempered by stochastic noise, highlighting a delay in system responses to environmental changes and persistent spatial correlations.