Stable territory formation in ecology and its potential generality in pattern formations
Authored by Mototaka Minakuchi, Seido Nagano
Date Published: 2014
DOI: 10.1016/j.jtbi.2013.12.026
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Abstract
Stable territory formation is frequently observed in ecology. Until now, only the reaction-diffusion scheme has successfully produced stable
patterns in the predator-prey system. However, it is a density-based
scheme and in principle it cannot be used to derive a comprehensive
understanding from a mean-field scheme. The application of our new
stochastic individual-based scheme to predator-prey systems successfully
produced stable patterns such as net, stripe, and lattice patterns for
the first time. This study clearly shows that non-interacting time is an
important factor in stable pattern formation. Specifically, of high
importance is the existence of finite time to build the appetites of
predators. In some cases, extreme increases of the appetites of
predators lead to chaotic changes of the population, which are similar
to the locust outbreak in Africa. (C) 2014 Elsevier Ltd. All rights
reserved.
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