Some Contributions to the Class of Branching Processes with Several Mating and Reproduction Strategies

Manuel Molina-Fernández and Manuel Mota-Medina
Additional contact information
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, 2022, vol. 10, issue 12, 1-14

Abstract: This work deals with mathematical modeling of dynamical systems. We consider a class of two-sex branching processes with several mating and reproduction strategies. We provide some probabilistic and statistical contributions. We deduce general expressions for the probability generating functions underlying the probability model, we derive some properties concerning the behavior of the states of the process and we determine estimates for the offspring mean vectors governing the reproduction phase. Furthermore, we extend the two-sex model considering immigration of female and male individuals from external populations. The results are illustrated through simulated examples. The investigated two-sex models are of particular interest to mathematically describe the population dynamics of biological species with a single reproductive episode before dying (semalparous species).

Keywords: mathematical modeling; branching models; two-sex models; models with immigration; population dynamics (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/12/2061/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/12/2061/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:12:p:2061-:d:838805

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().