Special Issue "Markov-Chain Modelling and Applications"

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Financial Mathematics".

Deadline for manuscript submissions: 28 February 2021.

Special Issue Editors

Prof. Dr. José Álvarez-García
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Guest Editor
Financial Economy and Accounting Department, Faculty of Business, Finance and Tourism, University of Extremadura, 10071 Cáceres, Spain
Interests: business; finance and tourism; Markov-switching models; portfolio management; public pension systems; financial market distress prediction; commodity futures trading
Special Issues and Collections in MDPI journals
Prof. Dr. Oscar V. De la Torre-Torres
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Guest Editor
Faculty of Accounting and Management, Saint Nicholas and Hidalgo Michoacán State University (UMSNH), Morelia 58030, Mexico
Interests: portfolio management; financial econometrics; sustainable investment; pension funds; algorithmic trading
Prof. Dr. María de la Cruz del Río-Rama
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Guest Editor
Business Management and Marketing Department, Faculty of Business Sciences and Tourism, University of Vigo, 32004 Ourense, Spain
Interests: business; management and tourism; Markov-switching models; commodity futures trading; socially responsible investment
Special Issues and Collections in MDPI journals

Special Issue Information

Dear Colleagues,

The Markov chain, also known as the Markov model or Markov process, is defined as a special type of discrete stochastic process in which the probability of an event occurring depends only on the immediately preceding event. In this regard, if the present state of an event is known, additional information from the past will be useful to make the best prediction about its future. Its applications are very diverse in multiple fields of science, including meteorology, genetic and epidemiological processes, financial and economic modelling, music generation, cyber security, and the development of artificial intelligence. Currently, Markov chains as statistical tools allow us to explain the natural and social reality in which we live, and are used to support decision-making.

In this framework, this Special Issue aims to compile novel research papers in which the Markov chain is applied in numerous areas of knowledge.

The relevant topics are:

  1. Markov processes in the calculation of probabilities.
  2. Application of the Markov chain in finance, economics, and actuarial science.
  3. Application of Markov processes in logistics, optimization, and operations management.
  4. Application of the Markov chain in study techniques in biology, human or veterinary medicine, genetics, epidemiology, or related medical sciences.
  5. Development of models and technological applications in computer security, internet and search criteria, big data, data mining, and artificial intelligence with Markov processes.
  6. Application of the Markov chain in Earth sciences such as geology, volcanology, seismology, meteorology, etc.
  7. Use of the Markov chain in physics, astronomy, or cosmology.
  8. Theoretical developments related to Markov processes and probability calculation.

Other interesting and related topics.

Prof. Dr. José Álvarez-García
Prof. Dr. Oscar V. De la Torre-Torres
Prof. Dr. María de la Cruz del Río-Rama
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1200 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • Markov chains
  • Markov model
  • Stochastic processes
  • Analysis of behavior
  • Probability theory

Published Papers (1 paper)

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Research

Open AccessArticle
A Predator–Prey Two-Sex Branching Process
Mathematics 2020, 8(9), 1408; https://doi.org/10.3390/math8091408 - 23 Aug 2020
Abstract
In this paper, we present the first stochastic process to describe the interaction of predator and prey populations with sexual reproduction. Specifically, we introduce a two-type two-sex controlled branching model. This process is a two-type branching process, where the first type corresponds to [...] Read more.
In this paper, we present the first stochastic process to describe the interaction of predator and prey populations with sexual reproduction. Specifically, we introduce a two-type two-sex controlled branching model. This process is a two-type branching process, where the first type corresponds to the predator population and the second one to the prey population. While each population is described via a two-sex branching model, the interaction and survival of both groups is modelled through control functions depending on the current number of individuals of each type in the ecosystem. In view of their potential for the conservation of species, we provide necessary and sufficient conditions for the ultimate extinction of both species, the fixation of one of them and the coexistence of both of them. Moreover, the description of the present predator–prey two-sex branching process on the fixation events can be performed in terms of the behaviour of a one-type two-sex branching process with a random control on the number of individuals, which is also introduced and analysed. Full article
(This article belongs to the Special Issue Markov-Chain Modelling and Applications)
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