| Full text | |
| Author(s): |
Mendonca, J. R. G.
Total Authors: 1
|
| Document type: | Journal article |
| Source: | Journal of Physics A-Mathematical and Theoretical; v. 51, n. 14 APR 6 2018. |
| Web of Science Citations: | 2 |
| Abstract | |
We propose and investigate a one-parameter probabilistic mixture of one-dimensional elementary cellular automata under the guise of a model for the dynamics of a single-species unstructured population with nonoverlapping generations in which individuals have smaller probability of reproducing and surviving in a crowded neighbourhood but also suffer from isolation and dispersal. Remarkably, the first-order mean field approximation to the dynamics of the model yields a cubic map containing terms representing both logistic and weak Allee effects. The model has a single absorbing state devoid of individuals, but depending on the reproduction and survival probabilities can achieve a stable population. We determine the critical probability separating these two phases and find that the phase transition between them is in the directed percolation universality class of critical behaviour. (AU) | |
| FAPESP's process: | 15/21580-0 - Analysis and simulation of random walks and exclusion processes over graphs |
| Grantee: | José Ricardo Gonçalves de Mendonça |
| Support Opportunities: | Regular Research Grants |