Inverse problem for a physiologically structured population model with variable-effort harvesting

Ruslan V. Andrusyak. "Inverse problem for a physiologically structured population model with variable-effort harvesting." Open Mathematics 15.1 (2017): 433-445. <http://eudml.org/doc/288065>.

@article{RuslanV2017,
abstract = {We consider the inverse problem of determining how the physiological structure of a harvested population evolves in time, and of finding the time-dependent effort to be expended in harvesting, so that the weighted integral of the density, which may be, for example, the total number of individuals or the total biomass, has prescribed dynamics. We give conditions for the existence of a unique, global, weak solution to the problem. Our investigation is carried out using the method of characteristics and a generalization of the Banach fixed-point theorem.},
author = {Ruslan V. Andrusyak},
journal = {Open Mathematics},
keywords = {Inverse problem; Physiologically structured population model; Conservation law; Time-dependent harvesting; The method of characteristics; Contraction mapping; The Picard iteration; inverse problem; physiologically structured population model; conservation law; time-dependent harvesting; the method of characteristics; contraction mapping; the Picard iteration},
language = {eng},
number = {1},
pages = {433-445},
title = {Inverse problem for a physiologically structured population model with variable-effort harvesting},
url = {http://eudml.org/doc/288065},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Ruslan V. Andrusyak
TI - Inverse problem for a physiologically structured population model with variable-effort harvesting
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 433
EP - 445
AB - We consider the inverse problem of determining how the physiological structure of a harvested population evolves in time, and of finding the time-dependent effort to be expended in harvesting, so that the weighted integral of the density, which may be, for example, the total number of individuals or the total biomass, has prescribed dynamics. We give conditions for the existence of a unique, global, weak solution to the problem. Our investigation is carried out using the method of characteristics and a generalization of the Banach fixed-point theorem.
LA - eng
KW - Inverse problem; Physiologically structured population model; Conservation law; Time-dependent harvesting; The method of characteristics; Contraction mapping; The Picard iteration; inverse problem; physiologically structured population model; conservation law; time-dependent harvesting; the method of characteristics; contraction mapping; the Picard iteration
UR - http://eudml.org/doc/288065
ER -