Simple reaction-diffusion population model on scale-free networks
arXiv:0810.1576 · doi:10.1103/PhysRevE.78.047101
Abstract
We study a simple reaction-diffusion population model [proposed by A. Windus and H. J. Jensen, J. Phys. A: Math. Theor. 40, 2287 (2007)] on scale-free networks. In the case of fully random diffusion, the network topology cannot affect the critical death rate, whereas the heterogeneous connectivity can cause smaller steady population density and critical population density. In the case of modified diffusion, we obtain a larger critical death rate and steady population density, at the meanwhile, lower critical population density, which is good for the survival of species. The results were obtained using a mean-field-like framework and were confirmed by computer simulations.
4 pages, 3 figures
References in corpus (10)
- Statistical mechanics of complex networks
- The structure and function of complex networks
- Epidemic spreading in scale-free networks
- Evolution of networks
- Epidemic dynamics and endemic states in complex networks
- Generation of uncorrelated random scale-free networks
- Diffusion-annihilation processes in complex networks
- Absence of kinetic effects in reaction-diffusion processes in scale-free networks
- Multicomponent reaction-diffusion processes on complex networks
- Phase transitions in a lattice population model