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

Open Mathematics (2017)

- Volume: 15, Issue: 1, page 433-445
- ISSN: 2391-5455

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topRuslan 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 -

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