Scientific publications

А.Н. Кириллов, И.В. Данилова.

Поведение популяции при выборе ареала: одномерный случай

// Труды КарНЦ РАН. No 6. Сер. Математическое моделирование и информационные технологии. 2021. C. 35–41

A.N. Kirillov, I.V. Danilova. The behavior of a population when choosing a patch: a one-dimensional case // Transactions of Karelian Research Centre of Russian Academy of Science. No 6. Mathematical Modeling and Information Technologies. 2021. P. 35–41

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.

URL: http://journals.krc.karelia.ru/index.php/mathem/article/view/1449

DOI: 10.17076/mat1449

Indexed at RSCI

Last modified: July 8, 2021