Population dynamics: algebraic and probabilistic approach
"A population is a summation of all the organisms of the same group or species, which live in a particular geographical area, and have the capability of interbreeding. The main mathematical problem for a given population is to carefully examine the evolution (time dependent dynamics) of the pop...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific
[2020]
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| Schlagworte: | |
| Online-Zugang: | URL des Erstveröffentlichers |
| Zusammenfassung: | "A population is a summation of all the organisms of the same group or species, which live in a particular geographical area, and have the capability of interbreeding. The main mathematical problem for a given population is to carefully examine the evolution (time dependent dynamics) of the population. The mathematical methods used in the study of this problem are based on probability theory, stochastic processes, dynamical systems, nonlinear differential and difference equations, and (non-)associative algebras. A state of a population is a distribution of probabilities of the different types of organisms in every generation. Type partition is called differentiation (for example, sex differentiation which defines a bisexual population). This book systematically describes the recently developed theory of (bisexual) population, and mainly contains results obtained since 2010. The book presents algebraic and probabilistic approaches in the theory of population dynamics. It also includes several dynamical systems of biological models such as dynamics generated by Markov processes of cubic stochastic matrices; dynamics of sex-linked population; dynamical systems generated by a gonosomal evolution operator; dynamical system and an evolution algebra of mosquito population; and ocean ecosystems"--Publisher's website |
| Beschreibung: | 1 Online-Ressource (xiv, 443 Seiten) |
| ISBN: | 9789811211232 |
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| 520 | |a "A population is a summation of all the organisms of the same group or species, which live in a particular geographical area, and have the capability of interbreeding. The main mathematical problem for a given population is to carefully examine the evolution (time dependent dynamics) of the population. The mathematical methods used in the study of this problem are based on probability theory, stochastic processes, dynamical systems, nonlinear differential and difference equations, and (non-)associative algebras. A state of a population is a distribution of probabilities of the different types of organisms in every generation. Type partition is called differentiation (for example, sex differentiation which defines a bisexual population). This book systematically describes the recently developed theory of (bisexual) population, and mainly contains results obtained since 2010. The book presents algebraic and probabilistic approaches in the theory of population dynamics. It also includes several dynamical systems of biological models such as dynamics generated by Markov processes of cubic stochastic matrices; dynamics of sex-linked population; dynamical systems generated by a gonosomal evolution operator; dynamical system and an evolution algebra of mosquito population; and ocean ecosystems"--Publisher's website | ||
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| 650 | 4 | |a Algebra | |
| 650 | 4 | |a Probabilities | |
| 650 | 4 | |a Dynamics | |
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Datensatz im Suchindex
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| author | Rozikov, Utkir A. 1970- |
| author_facet | Rozikov, Utkir A. 1970- |
| author_role | aut |
| author_sort | Rozikov, Utkir A. 1970- |
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| dewey-full | 577.88 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 577 - Ecology |
| dewey-raw | 577.88 |
| dewey-search | 577.88 |
| dewey-sort | 3577.88 |
| dewey-tens | 570 - Biology |
| discipline | Biologie |
| discipline_str_mv | Biologie |
| format | Electronic eBook |
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| id | DE-604.BV047124250 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T16:30:24Z |
| indexdate | 2024-07-10T09:03:18Z |
| institution | BVB |
| isbn | 9789811211232 |
| language | English |
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| oclc_num | 1237590235 |
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| physical | 1 Online-Ressource (xiv, 443 Seiten) |
| psigel | ZDB-124-WOP |
| publishDate | 2020 |
| publishDateSearch | 2020 |
| publishDateSort | 2020 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Rozikov, Utkir A. 1970- Verfasser aut Population dynamics algebraic and probabilistic approach by Utkir A. Rozikov Singapore World Scientific [2020] 1 Online-Ressource (xiv, 443 Seiten) txt rdacontent c rdamedia cr rdacarrier "A population is a summation of all the organisms of the same group or species, which live in a particular geographical area, and have the capability of interbreeding. The main mathematical problem for a given population is to carefully examine the evolution (time dependent dynamics) of the population. The mathematical methods used in the study of this problem are based on probability theory, stochastic processes, dynamical systems, nonlinear differential and difference equations, and (non-)associative algebras. A state of a population is a distribution of probabilities of the different types of organisms in every generation. Type partition is called differentiation (for example, sex differentiation which defines a bisexual population). This book systematically describes the recently developed theory of (bisexual) population, and mainly contains results obtained since 2010. The book presents algebraic and probabilistic approaches in the theory of population dynamics. It also includes several dynamical systems of biological models such as dynamics generated by Markov processes of cubic stochastic matrices; dynamics of sex-linked population; dynamical systems generated by a gonosomal evolution operator; dynamical system and an evolution algebra of mosquito population; and ocean ecosystems"--Publisher's website Population biology / Mathematical models Algebra Probabilities Dynamics https://www.worldscientific.com/worldscibooks/10.1142/11578#t=toc Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Rozikov, Utkir A. 1970- Population dynamics algebraic and probabilistic approach Population biology / Mathematical models Algebra Probabilities Dynamics |
| title | Population dynamics algebraic and probabilistic approach |
| title_auth | Population dynamics algebraic and probabilistic approach |
| title_exact_search | Population dynamics algebraic and probabilistic approach |
| title_exact_search_txtP | Population dynamics algebraic and probabilistic approach |
| title_full | Population dynamics algebraic and probabilistic approach by Utkir A. Rozikov |
| title_fullStr | Population dynamics algebraic and probabilistic approach by Utkir A. Rozikov |
| title_full_unstemmed | Population dynamics algebraic and probabilistic approach by Utkir A. Rozikov |
| title_short | Population dynamics |
| title_sort | population dynamics algebraic and probabilistic approach |
| title_sub | algebraic and probabilistic approach |
| topic | Population biology / Mathematical models Algebra Probabilities Dynamics |
| topic_facet | Population biology / Mathematical models Algebra Probabilities Dynamics |
| url | https://www.worldscientific.com/worldscibooks/10.1142/11578#t=toc |
| work_keys_str_mv | AT rozikovutkira populationdynamicsalgebraicandprobabilisticapproach |