2024-03-28T18:30:19Zhttp://digital.csic.es/dspace-oai/requestoai:digital.csic.es:10261/456372018-09-13T07:12:53Zcom_10261_2855com_10261_4col_10261_2857
Competitive Brownian and Levy walkers
Heinsalu, Els
Hernández-García, Emilio
López, Cristóbal
Population dynamics of individuals undergoing birth and death and diffusing by short or long ranged twodimensional spatial excursions (Gaussian jumps or Levy flights) is studied. Competitive interactions are considered in a global case, in which birth and death rates are influenced by all individuals in the system, and in a nonlocal but finite-range case in which interaction affects individuals in a neighborhood (we also address the noninteracting case). In the global case one single or few-cluster configurations are achieved with the spatial distribution of the bugs tied to the type of diffusion. In the Levy case long tails appear for some properties characterizing the shape and dynamics of clusters. Under non-local finite-range interactions periodic patterns appear with periodicity set by the interaction range. This length acts as a cut-off limiting the influence of the long Levy jumps, so that spatial configurations under the two types of diffusion become more similar. By dividing initially everyone into different families and following their descent it is possible to show that mixing of families and their competition is greatly influenced by the spatial dynamics.
2012-02-15T11:26:55Z
2012-02-15T11:26:55Z
2012-04-05
artículo
Physical Review E 85(4): 041105 (2012)
1539-3755
http://hdl.handle.net/10261/45637
10.1103/PhysRevE.85.041105
1550-2376
eng
http://dx.doi.org/10.1103/PhysRevE.85.041105
openAccess
American Physical Society