Demographic Dynamics in Multitype Populations with Migrations

Manuel Molina-Fernández and Manuel Mota-Medina
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Manuel Molina-Fernández: Department of Mathematics, Institute of Advanced Scientific Computation, University of Extremadura, 06006 Badajoz, Spain
Manuel Mota-Medina: Department of Mathematics, Institute of Advanced Scientific Computation, University of Extremadura, 06006 Badajoz, Spain

Mathematics, 2021, vol. 9, issue 3, 1-12

Abstract: This research work deals with mathematical modeling in complex biological systems in which several types of individuals coexist in various populations. Migratory phenomena among the populations are allowed. We propose a class of mathematical models to describe the demographic dynamics of these type of complex systems. The probability model is defined through a sequence of random matrices in which rows and columns represent the various populations and the several types of individuals, respectively. We prove that this stochastic sequence can be studied under the general setting provided by the multitype branching process theory. Probabilistic properties and limiting results are then established. As application, we present an illustrative example about the population dynamics of biological systems formed by long-lived raptor colonies.

Keywords: mathematical modeling; multitype populations; branching processes; biological systems; population dynamics (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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