Journal article

Clustering of independently diffusing individuals by birth and death processes


Authors listMeyer, M; Havlin, S; Bunde, A

Publication year1996

Pages5567-5570

JournalPhysical Review E

Volume number54

Issue number5

ISSN1063-651X

DOI Linkhttps://doi.org/10.1103/PhysRevE.54.5567

PublisherAmerican Physical Society


Abstract
We study analytically a model for the dynamics of populations and epidemics that includes birth and death processes in a system of independently diffusing individuals. When birth and death rates are close to each other, the individuals tend to cluster around their center of mass and the population (disease) territory migrates as a whole. The clustering phenomenon is caused by the natural asymmetry between birth and death processes, and does not require any communication among the individuals or between the individuals and the substrate.



Citation Styles

Harvard Citation styleMeyer, M., Havlin, S. and Bunde, A. (1996) Clustering of independently diffusing individuals by birth and death processes, PHYSICAL REVIEW E, 54(5), pp. 5567-5570. https://doi.org/10.1103/PhysRevE.54.5567

APA Citation styleMeyer, M., Havlin, S., & Bunde, A. (1996). Clustering of independently diffusing individuals by birth and death processes. PHYSICAL REVIEW E. 54(5), 5567-5570. https://doi.org/10.1103/PhysRevE.54.5567


Last updated on 2025-02-04 at 06:44