А.Н. Кириллов, И.В. Данилова.
Поведение популяции при выборе ареала: одномерный случай
Keywords: utility function; preferred utility domain; measure of awareness
The problem of selection of the most suitable patch by a population is considered for the case of two patches located at the ends of a segment. It is assumed that the population moves within the given segment at constant speed. Utility functions of the patches are introduced, taking into account the incompleteness of the measure of awareness of the patch quality, the true utility of each patch, and the cost of moving to the patch. Using these utility functions, the segment is divided into preferred utility domains, enabling conclusions regarding the population’s preferences. We also study the problem of optimization of the population size in the patch, and analyze the conditions under which its size is maximized.
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