Individual based and mean-field modeling of direct aggregation
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Highlights
► We introduce two stochastic individual-based models of biological aggregation. ► The individual particle stochasticity depends on the perceived average population density. ► Both models exhibit formation of aggregates resulting from random fluctuations in the population density. ► We derive the corresponding mean field description and perform its mathematical analysis. ► Extensive numerical results are presented.
Keywords
Direct aggregation
Density dependent random walk
Degenerate parabolic equation
Mean field limit
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Copyright © 2012 Elsevier B.V.