title: A semigroup approach to the strong ergodic theorem of the multistate stable population process.
abstract: "In this paper we first formulate the dynamics of multistate stable population processes as a partial differential equation.  Next, we rewrite this equation as an abstract differential equation in a Banach space, and solve it by using the theory of strongly continuous semigroups of bounded linear operators.  Subsequently, we investigate the asymptotic behavior of this semigroup to show the strong ergodic theorem which states that there exists a stable distribution independent of the initial distribution.  Finally, we introduce the dual problem in order to obtain a logical definition for the reproductive value and we discuss its applications."  (SUMMARY IN FRE)
mesh_terms: D003710:Demography; D008722:Methods; D008962:Models, Theoretical; D011153:Population; D011156:Population Density; D011157:Population Dynamics; D012106:Research; D012942:Social Sciences; D013223:Statistics as Topic
keywords: Demographic Analysis; Demographic Factors; Demography; Estimation Technics; Mathematical Model; Methodological Studies; Models, Theoretical; Population; Population Dynamics; Population Size; Population Theory; Research Methodology; Social Sciences; Stable Population; Stable Population Method; World