Trajectory analysis of nonlinear kinetic models of population dynamics of several species
The existence and uniqueness of global solutions are proved for kinetic models of coupled population dynamics. Moreover, under consideration, the uniqueness and the stability analysis of this steady-state solution are discussed. This analysis uses, essentially, the dissipativity, a subtangential condition and the positivity of the related C(0)-semigroup. Crown Copyright (C) 2008 Published by Elsevier Ltd. All rights reserved.
kinetic models population dynamics stability dissipativity equilibrium solutions positive c(0)-semigroups nonlocal boundary conditions