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This work deals with two mathematical models on the declines of honeybee colonies. Starting from the model proposed eight years ago by Khoury, Meyerscough, and Barron, (KMB model), we kept the eclosion function and changed the recruitment function to design a new model for social parasitism in honeybees. The KMB model is characterized by the fact that there exists a critical value of the foragers'...
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