| Full text | |
| Author(s): |
dos Santos, M. A. F.
;
Dornelas, V
;
Colombo, E. H.
;
Anteneodo, C.
Total Authors: 4
|
| Document type: | Journal article |
| Source: | PHYSICAL REVIEW E; v. 102, n. 4, p. 7-pg., 2020-10-29. |
| Abstract | |
Population survival depends on a large set of factors and on how they are distributed in space. Due to landscape heterogeneity, species can occupy particular regions that provide the ideal scenario for development, working as a refuge from harmful environmental conditions. Survival occurs if population growth overcomes the losses caused by adventurous individuals that cross the patch edge. In this work, we consider a single species dynamics in a patch with a space-dependent diffusion coefficient. We show analytically, within the Stratonovich framework, that heterogeneous diffusion reduces the minimal patch size for population survival when contrasted with the homogeneous case with the same average diffusivity. Furthermore, this result is robust regardless of the particular choice of the diffusion coefficient profile. We also discuss how this picture changes beyond the Stratonovich framework. Particularly, the Ito case, which is nonanticipative, can promote the opposite effect, while Hanggi-Klimontovich interpretation reinforces the reduction effect. (AU) | |
| FAPESP's process: | 16/01343-7 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics |
| Grantee: | Nathan Jacob Berkovits |
| Support Opportunities: | Special Projects |
| FAPESP's process: | 20/04751-4 - Pattern formation in coral reefs |
| Grantee: | Vivian de Araujo Dornelas Nunes |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |