THE OPTIMAL DISTRIBUTION OF RESOURCES AND RATE OF MIGRATION MAXIMIZING THE POPULATION SIZE IN LOGISTIC MODEL WITH IDENTICAL MIGRATION

作者：Liang, Xing^*; Zhang, Lei

来源：Discrete and Continuous Dynamical Systems - Series B, 2021, 26(4): 2055-2065.

DOI：10.3934/dcdsb.2020280

• Optimization problem
• total population size
• logistic-type growth
• resources distribution
• migration rate

This paper focuses on an optimization problem arising in population biology. We investigate the effect of the resources distribution and the migration rate on the total population size of some species, which migrates among patches with the identical probability and grows logistically in each patch. We aim to maximize the total population size by the distribution of resources and the rate of migration.

• 单位
  harbin inst technol; 中国科学技术大学