Advances in Differential Dynamical Systems with Applications to Economics and Biology
In recent research on natural processes, mathematical modeling has become a very useful tool. It is often the case that, in fields such as economics and biology, a temporal lag between cause and effect must often be taken into consideration. In modeling, a natural and practical implementation of thi...
Wedi'i Gadw mewn:
| Fformat: | Online |
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| Iaith: | Saesneg |
| Cyhoeddwyd: |
MDPI - Multidisciplinary Digital Publishing Institute
2023
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| Pynciau: | |
| Mynediad Ar-lein: | ONIX_20230105_9783036558653_21 |
| Tagiau: |
Dim Tagiau, Byddwch y cyntaf i dagio'r cofnod hwn!
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| _version_ | 1869521058563883008 |
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| collection | Directory of Open Access Books |
| description | In recent research on natural processes, mathematical modeling has become a very useful tool. It is often the case that, in fields such as economics and biology, a temporal lag between cause and effect must often be taken into consideration. In modeling, a natural and practical implementation of this phenomenon is through the use of distributed delays. This is because they illustrate the situation where temporal lags arise in certain ranges of values for certain related probability distributions, taking into account the variables’ entire history of behavior. Another mathematical tool that allows for the memory and inherited properties of systems to be encompassed in a model is the replacement of integer-order derivatives with fractional derivatives. To address realistic conditions, stochastic perturbation framed by a stochastic differential delay system can be used to explain the ambiguity about the context in which the system operates. The present book comprises all the 16 articles accepted and published in the Special Issue “Advances in Differential Dynamical Systems with Applications to Economics and Biology” of the MDPI journal Mathematics, with focuses on the dynamical analysis of mathematical models, arising from economy and biology, and innovative developments in mathematical techniques for their applications. We expect that the international scientific community will find this collection of research papers influential and that they will spur additional investigations on diverse applications with respect to dynamical systems in all scientific areas. |
| format | Online |
| id | doab-20.500.12854ir-95792 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2023 |
| publishDateRange | 2023 |
| publishDateSort | 2023 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-957922024-03-28T03:32:19Z Advances in Differential Dynamical Systems with Applications to Economics and Biology Neamțu, Mihaela Kaslik, Eva Rădulescu, Anca dynamical systems time delay stability bifurcation analysis in economic and biological systems chaotic behaviors fractional order systems numerical methods economic modeling infection modeling epidemic spreading blood flow models optimal control reaction&ndash diffusion systems thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science In recent research on natural processes, mathematical modeling has become a very useful tool. It is often the case that, in fields such as economics and biology, a temporal lag between cause and effect must often be taken into consideration. In modeling, a natural and practical implementation of this phenomenon is through the use of distributed delays. This is because they illustrate the situation where temporal lags arise in certain ranges of values for certain related probability distributions, taking into account the variables’ entire history of behavior. Another mathematical tool that allows for the memory and inherited properties of systems to be encompassed in a model is the replacement of integer-order derivatives with fractional derivatives. To address realistic conditions, stochastic perturbation framed by a stochastic differential delay system can be used to explain the ambiguity about the context in which the system operates. The present book comprises all the 16 articles accepted and published in the Special Issue “Advances in Differential Dynamical Systems with Applications to Economics and Biology” of the MDPI journal Mathematics, with focuses on the dynamical analysis of mathematical models, arising from economy and biology, and innovative developments in mathematical techniques for their applications. We expect that the international scientific community will find this collection of research papers influential and that they will spur additional investigations on diverse applications with respect to dynamical systems in all scientific areas. 2023-01-05T12:32:59Z 2023-01-05T12:32:59Z 2022 book ONIX_20230105_9783036558653_21 9783036558653 9783036558660 https://directory.doabooks.org/handle/20.500.12854/95792 eng image/jpeg Attribution 4.0 International https://mdpi.com/books/pdfview/book/6448 https://mdpi.com/books/pdfview/book/6448 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-5866-0 10.3390/books978-3-0365-5866-0 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036558653 9783036558660 302 Basel open access |
| spellingShingle | dynamical systems time delay stability bifurcation analysis in economic and biological systems chaotic behaviors fractional order systems numerical methods economic modeling infection modeling epidemic spreading blood flow models optimal control reaction&ndash diffusion systems thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Advances in Differential Dynamical Systems with Applications to Economics and Biology |
| title | Advances in Differential Dynamical Systems with Applications to Economics and Biology |
| title_full | Advances in Differential Dynamical Systems with Applications to Economics and Biology |
| title_fullStr | Advances in Differential Dynamical Systems with Applications to Economics and Biology |
| title_full_unstemmed | Advances in Differential Dynamical Systems with Applications to Economics and Biology |
| title_short | Advances in Differential Dynamical Systems with Applications to Economics and Biology |
| title_sort | advances in differential dynamical systems with applications to economics and biology |
| topic | dynamical systems time delay stability bifurcation analysis in economic and biological systems chaotic behaviors fractional order systems numerical methods economic modeling infection modeling epidemic spreading blood flow models optimal control reaction&ndash diffusion systems thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| topic_facet | dynamical systems time delay stability bifurcation analysis in economic and biological systems chaotic behaviors fractional order systems numerical methods economic modeling infection modeling epidemic spreading blood flow models optimal control reaction&ndash diffusion systems thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| url | ONIX_20230105_9783036558653_21 |