Chaotic behaviour of birth-and-death models with proliferation

Autores UPV
Año
Revista JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS

Abstract

In this paper, we will study the chaotic behaviour, in the sense of Devaney, of infinite-dimensional linear systems on Banach spaces, especially we will study the solution $C_0$-semigroups of operators of these systems. We will focus on the models of kinetic theory as is the case of the birth-and-death models. Azmy and Protopopescu studied these processes for the first time. In addition, this subject has been intensively studied by Banasiak, Lachowicz and Moszynski.