Cuadro de texto: As for continuous models, IBMs may undergo instabilities leading to pattern formation. We introduce one of such interacting IBMs in which nonlocal interactions play an important role. In the absence of specific techniques to describe pattern formation in IBMs, we have derived the connection to a (stochastic) partial differential formulation. This continuous deterministic description reproduces accurately the main pattern forming process. In fact it allows to identify the pattern forming mechanism as a simple inhibition of growth by increasing density. Nevertheless it misses important fluctuation effects such as shifting of thresholds. Cuadro de texto: SUMMARY Cuadro de texto: E. Hernandez-Garcia and Cristobal Lopez. Clustering, advection, and patterns in a model of population dynamics with neigborhood-dependent rates. Phys. Rev. E 70, 016216 (2004). C. Lopez and E. Hernandez-Garcia. Fluctuations impact on a pattern-forming model of population dynamics with non-local interactions. Physica D, to appear (2004). http://www.imedea.uib.es/PhysDept/

1  2  3  4  5  6  7  8  9  10  11  12  13  14  15  16  17  18  19  20  21  22  23  24  25  26  27  28  29  30  31  32  33  34  35  36  37  38  39  40