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Zhao Z, Bohorquez JC, Dixon A, et al. Anomalously slow attrition times for asymmetric populations with internal group dynamics. Phys Rev Lett. 2009;103(14):148701doi: 10.1103/PhysRevLett.103.148701.
Zhao, Z., Bohorquez, J. C., Dixon, A., & Johnson, N. F. (2009). Anomalously slow attrition times for asymmetric populations with internal group dynamics. Physical review letters, 103(14), 148701. https://doi.org/10.1103/PhysRevLett.103.148701
Zhao, Zhenyuan, et al. "Anomalously slow attrition times for asymmetric populations with internal group dynamics." Physical review letters vol. 103,14 (2009): 148701. doi: https://doi.org/10.1103/PhysRevLett.103.148701
Zhao Z, Bohorquez JC, Dixon A, Johnson NF. Anomalously slow attrition times for asymmetric populations with internal group dynamics. Phys Rev Lett. 2009 Oct 02;103(14):148701. doi: 10.1103/PhysRevLett.103.148701. Epub 2009 Oct 02. PMID: 19905607.
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Phys Rev Lett. 2009 Oct 02;103(14):148701. doi: 10.1103/PhysRevLett.103.148701. Epub 2009 Oct 02.

Anomalously slow attrition times for asymmetric populations with internal group dynamics.

Physical review letters

Zhenyuan Zhao, Juan Camilo Bohorquez, Alex Dixon, Neil F Johnson

Affiliations

  1. Department of Physics, University of Miami, Coral Gables, Florida 33126, USA.

PMID: 19905607 DOI: 10.1103/PhysRevLett.103.148701

Abstract

The many-body dynamics exhibited by living objects include group formation within a population and the nonequilibrium process of attrition between two opposing populations due to competition or conflict. We show analytically and numerically that the combination of these two dynamical processes generates an attrition duration T whose nonlinear dependence on population asymmetry x is in stark contrast to standard mass-action theories. A minority population experiences a longer survival time than two equally balanced populations, irrespective of whether or not the majority population adopts such an internal grouping. Adding a third population with predefined group sizes allows T(x) to be tailored. Our findings compare favorably to real-world observations.

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