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

• Autorzy: Ruslan V. Andrusyak
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Inverse problem; Physiologically structured population model; Conservation law; Time-dependent harvesting; The method of characteristics; Contraction mapping; The Picard iteration

Kategorie tematyczne

• 35L04: Initial-boundary value problems for first-order hyperbolic equations
• 35Q92: PDEs in connection with biology and other natural sciences
• 35R30: Inverse problems

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 433-445

Daty

wydano

2017-01-01

otrzymano

2016-10-26

zaakceptowano

2017-02-21

online

2017-04-12

Twórcy

autor

Ruslan V. Andrusyak

• Department of Differential Equations, Faculty of Mechanics and Mathematics, Ivan Franko National University of Lviv, Lviv, 79000,

Identyfikatory

DOI

10.1515/math-2017-0040