Wszystkie pola: Biomathematics - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Strong and weak stability of some Markov operators
Autorzy:: Rudnicki, Ryszard
Powiązania:: https://bibliotekanauki.pl/articles/965771.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: biomathematics
weak and strong convergence of measures
Markov operators
Opis:: An integral Markov operator $P$ appearing in biomathematics is investigated. This operator acts on the space of probabilistic Borel measures. Let $μ$ and $ν$ be probabilistic Borel measures. Sufficient conditions for weak and strong convergence of the sequence $(P^{n}μ-P^{n}ν)$ to $0$ are given.
Źródło:: Colloquium Mathematicum; 2000, 84/85, 1; 255-263
0010-1354
Pojawia się w:: Colloquium Mathematicum
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Mathematics Serve to Orchestrate the Progression of Studies In Biological Sciences: Overview on Occasion of April, the Mathematics Awareness Month
Autorzy:: Khyade, Vitthalrao B.
Wanve, Hanumant V.
Powiązania:: https://bibliotekanauki.pl/articles/1177867.pdf
Data publikacji:: 2018
Wydawca:: Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:: Biomathematics
Quantitative Genetics; Population Dynamics; Supercomplex Mechanisms
Opis:: The mathematics and biology are the interdisciplinary approaches in the field of scientific research. Both, mathematics and biology deserve a wide range of applications. Mathematical biology or biomathematics is the study of mathematics for biology. One can derive the quantitative genetics through consideration of infinitesimal effects at a large number of gene loci, together with the assumption of linkage equilibrium or quasi-linkage equilibrium. Ronald Fisher made the intensive work on fundamental advances in statistics (Example: Analysis of Variance). This achievement by Ronald Fisher was through his work on quantitative genetics. The phylogenetics is one more important branch of population genetics that led to the extensive development of Biological sciences through Mathematics. The Phylogenetics is the branch dealing with the reconstruction and analysis of phylogenetic (evolutionary) trees and network based on inherited characteristics. Assumptions on the “Constant Population Size” belongs to many “Population Genetics” models. The population dynamics is treating the “Variable Population Size” as absence of genetic variation. History of such type of work goes back to the 19th century. Even as far as 1798. In 1798, Thomas Malthus formulated the first principle of population dynamics. This principle later became popularize as the “Malthusian Growth Model”. Alfred J. Lotka, in 1910 proposed the model of autocatalytic chemical reactions. Vito Volterra tried his best to extend this work and titled as “Lotka - Volterra Predator-Prey Equations”. Basically, Vito Volterra was Mathematician. The mathematical epidemiology is the study of infectious disease affecting populations. Upto some extent, the “Population dynamics” use to overlaps mathematical epidemiology. The mathematics and Biology, both are serving a lot to orchestrate the progression of the global research.
Źródło:: World Scientific News; 2018, 98; 140-149
2392-2192
Pojawia się w:: World Scientific News
Dostawca treści:: Biblioteka Nauki

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