Existence of solutions to generalized von Foerster equations with functional dependence

• Autorzy: Henryk Leszczyński , Piotr Zwierkowski
• Języki publikacji: EN

Abstrakty

EN

We prove the existence of solutions to a differential-functional system which describes a wide class of multi-component populations dependent on their past time and state densities and on their total size. Using two different types of the Hale operator, we incorporate in this model classical von Foerster-type equations as well as delays (past time dependence) and integrals (e.g. influence of a group of species).

Kategorie tematyczne

• 92B05: General biology and biomathematics
• 35R10: Partial functional-differential equations
• 35L45: Initial value problems for first-order hyperbolic systems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2004
• Tom: 83
• Numer: 3
• Strony: 201-210

Daty

wydano

2004

Twórcy

autor

Henryk Leszczyński

• Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland

autor

Piotr Zwierkowski

• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/14, 87-100 Toruń, Poland

Identyfikatory

DOI

10.4064/ap83-3-2