4 papers
Parametric resonance, chaos and spatial structure in the Lotka-Volterra model
Mohamed Swailem, Alastair M. Rucklidge
We investigate the Lotka-Volterra model for predator-prey competition with a finite carrying capacity that varies periodically in time, modeling seasonal variations in nutrients or…
Fixation and extinction in time-fluctuating spatially structured metapopulations
Matthew Asker, Mohamed Swailem, Uwe C. Täuber +1
Bacteria evolve in volatile environments and complex spatial structures. Migration, fluctuations and environmental variability therefore have a significant impact on the evolution…
Agent-based Monte Carlo simulations for reaction-diffusion models, population dynamics, and epidemic spreading
Mohamed Swailem, Ulrich Dobramysl, Ruslan Mukhamadiarov +1
We provide an overview of Monte Carlo algorithms based on Markovian stochastic dynamics of interacting and reacting many-particle systems not in thermal equilibrium. These agent-ba…
Computing macroscopic reaction rates in reaction-diffusion systems using Monte Carlo simulations
Mohamed Swailem, Uwe C. Täuber
Stochastic reaction-diffusion models are employed to represent many complex physical, biological, societal, and ecological systems. The macroscopic reaction rates describing the la…