13 May 2015 An agent-based mathematical model about carp aggregation
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This work presents an agent-based mathematical model to simulate the aggregation of carp, a harmful fish in North America. The referred mathematical model is derived from the following assumptions: (1) instead of the consensus among every carps involved in the aggregation, the aggregation of carp is completely a random and spontaneous physical behavior of numerous of independent carp; (2) carp aggregation is a collective effect of inter-carp and carp-environment interaction; (3) the inter-carp interaction can be derived from the statistical analytics about large-scale observed data. The proposed mathematical model is mainly based on empirical inter-carp force field, whose effect is featured with repulsion, parallel orientation, attraction, out-of-perception zone, and blind. Based on above mathematical model, the aggregation behavior of carp is formulated and preliminary simulation results about the aggregation of small number of carps within simple environment are provided. Further experiment-based validation about the mathematical model will be made in our future work.
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Yu Liang, Yu Liang, Chao Wu, Chao Wu, "An agent-based mathematical model about carp aggregation", Proc. SPIE 9486, Advanced Environmental, Chemical, and Biological Sensing Technologies XII, 94860Q (13 May 2015); doi: 10.1117/12.2180323; https://doi.org/10.1117/12.2180323

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