English

Contact processes on fragmented domains

Statistical Mechanics 2022-01-03 v1 Populations and Evolution

Abstract

Motivated by recent findings of enhanced species survival when fragmented habitats are reconnected through narrow strips of land [S. Pimm, and C. N. Jenkins, Am. Sci. {\bf 107}(3), 162 (2019).], we study the effect of a corridor connecting two square regions on the survival time of three models exhibiting extinction/survival phase transitions: the basic contact process (CP), the diffusive contact process, and the two-species symbiotic contact process (2SCP). We find that connecting the regions generally increases the survival time for λλc\lambda\ge \lambda_c, where λ\lambda is the reproduction rate and λc\lambda_c its critical value. The enhancement of the survival time increases with λ\lambda, and is largest in the 2SCP.

Cite

@article{arxiv.2112.15208,
  title  = {Contact processes on fragmented domains},
  author = {I. Ibagon and A. P. Furlan and Ronald Dickman},
  journal= {arXiv preprint arXiv:2112.15208},
  year   = {2022}
}
R2 v1 2026-06-24T08:36:12.842Z