Solution of a new class of nonlinear kinetic models of population dynamics
type: Item
instance of: scholarly article
title: Solution of a new class of nonlinear kinetic models of population dynamics
zbMATH Open document ID: 0853.35050
DOI: 10.1016/0893-9659(96)00014-6
author: L. Arlotti
author: N. Bellomo
published in: Applied Mathematics Letters
publication date: 1997-01-12T00:00:00Z
review text: This paper deals with the analysis of a new class of models of population dynamics with stochastic interaction. These models are characterized by a mathematical structure similar to the one of the models of the phenomenological kinetic theory and, in particular, of the Boltzmann equation. Indeed, the evolution equation is defined by a system of integro-differential equations with quadratic or cubic nonlinearity. This paper deals with the qualitative analysis of models with multiple interactions. The second section deals with the modelling of the population dynamics, and the third section with the qualitative analysis of the solutions to the initial value problem and with the existence of equilibrium solutions.
Mathematics Subject Classification ID: 35G10
Mathematics Subject Classification ID: 35K25
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 915078
zbMATH Keywords: population dynamics with stochastic interaction
MaRDI profile type: Publication
full work available at URL: 0893-9659(96)00014-6
OpenAlex ID: W1994740852
cites work: On the Distribution of Dominance in Populations of Social Organisms
cites work: Population dynamics with stochastic interaction
cites work: Dynamics of tumor interaction with the host immune system
cites work: Q4100575
cites work: From population dynamics to modelling the competition between tumors and immune system
description: scientific article; zbMATH DE number 915078