Advances in Differential Dynamical Systems with Applications to Economics and Biology, 2nd Edition
In recent research on natural processes, mathematical modeling has become useful. 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. A natural and practical implementation of this phenomenon is through d...
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| Médium: | Online |
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| Jazyk: | angličtina |
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MDPI - Multidisciplinary Digital Publishing Institute
2025
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| On-line přístup: | ONIX_20250812T110751_9783725837113_145 |
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| collection | Directory of Open Access Books |
| description | In recent research on natural processes, mathematical modeling has become useful. 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. A natural and practical implementation of this phenomenon is through distributed delays in modeling. This is because they illustrate the situation where temporal lags arise in certain ranges of values for certain related probability distributions, considering the variables’ entire behavior history. Another mathematical tool that allows for systems' memory and inherited properties 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 explain the ambiguity about the system's context. The present book comprises all the 14 articles accepted and published in the Special Issue “Advances in Differential Dynamical Systems with Applications to Economics and Biology, 2nd Edition” 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 concerning dynamical systems in all scientific areas. |
| format | Online |
| id | doab-20.500.12854ir-165389 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2025 |
| publishDateRange | 2025 |
| publishDateSort | 2025 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1653892025-08-12T09:27:00Z Advances in Differential Dynamical Systems with Applications to Economics and Biology, 2nd Edition 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–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 useful. 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. A natural and practical implementation of this phenomenon is through distributed delays in modeling. This is because they illustrate the situation where temporal lags arise in certain ranges of values for certain related probability distributions, considering the variables’ entire behavior history. Another mathematical tool that allows for systems' memory and inherited properties 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 explain the ambiguity about the system's context. The present book comprises all the 14 articles accepted and published in the Special Issue “Advances in Differential Dynamical Systems with Applications to Economics and Biology, 2nd Edition” 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 concerning dynamical systems in all scientific areas. 2025-08-12T09:26:58Z 2025-08-12T09:26:58Z 2025 book ONIX_20250812T110751_9783725837113_145 9783725837113 9783725837120 https://directory.doabooks.org/handle/20.500.12854/165389 eng image/jpeg Attribution 4.0 International https://mdpi.com/books https://mdpi.com/books/pdfview/book/10899 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-7258-3712-0 10.3390/books978-3-7258-3712-0 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783725837113 9783725837120 284 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–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, 2nd Edition |
| title | Advances in Differential Dynamical Systems with Applications to Economics and Biology, 2nd Edition |
| title_full | Advances in Differential Dynamical Systems with Applications to Economics and Biology, 2nd Edition |
| title_fullStr | Advances in Differential Dynamical Systems with Applications to Economics and Biology, 2nd Edition |
| title_full_unstemmed | Advances in Differential Dynamical Systems with Applications to Economics and Biology, 2nd Edition |
| title_short | Advances in Differential Dynamical Systems with Applications to Economics and Biology, 2nd Edition |
| title_sort | advances in differential dynamical systems with applications to economics and biology 2nd edition |
| 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–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–diffusion systems thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| url | ONIX_20250812T110751_9783725837113_145 |