DIFFERENTIAL EQUATIONS AND THEIR MODELS IN NATURE
Article Sidebar
Main Article Content
Abstract
Differential equations play a crucial role in modeling various natural phenomena, ranging from population dynamics to the spread of diseases and physical processes such as heat transfer and wave motion. This article explores the applications of ordinary and partial differential equations in representing dynamic systems in nature. The study begins by outlining the mathematical foundation of differential equations and proceeds to describe specific models, including logistic growth for populations, Newton’s law of cooling, and predator-prey interactions. The results demonstrate that these models not only provide a mathematical framework for understanding natural processes but also allow accurate predictions of real-world behaviors when supported by empirical data. The discussion highlights the versatility of differential equations in bridging theory and practice, showing their indispensable role in scientific research and technological advancement.
Downloads
Article Details
Section
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors retain the copyright of their manuscripts, and all Open Access articles are disseminated under the terms of the Creative Commons Attribution License 4.0 (CC-BY), which licenses unrestricted use, distribution, and reproduction in any medium, provided that the original work is appropriately cited. The use of general descriptive names, trade names, trademarks, and so forth in this publication, even if not specifically identified, does not imply that these names are not protected by the relevant laws and regulations.
How to Cite
References
1.Brauer, F., Castillo-Chávez, C., & Feng, Z. (2019). Mathematical models in epidemiology. Springer.
2.Boyce, W. E., & DiPrima, R. C. (2017). Elementary differential equations and boundary value problems (11th ed.). Wiley.
3.Edelstein-Keshet, L. (2005). Mathematical models in biology. Society for Industrial and Applied Mathematics.
4.Strogatz, S. H. (2015). Nonlinear dynamics and chaos: With applications to physics, biology, chemistry, and engineering (2nd ed.). Westview Press.
5.Mamalatipov O., Shahobiddin K. STAGNATION IN THE RITZ AND GALYORKIN METHODS //International Bulletin of Engineering and Technology. – 2023. – Т. 3. – №. 5. – С. 17-22.
6.Yo‘ldoshaliyev A. S., Mamalatipov O. M. STRUCTURAL GEOLOGY AND TECTONICS //Journal of Universal Science Research. – 2024. – Т. 2. – №. 1. – С. 50-59.
7.Murodilov K. T., Muminov I. I., Abdumalikov R. R. DESIGN PRINCIPLES FOR EFFECTIVE WEB MAPS //SPAIN" PROBLEMS AND PROSPECTS FOR THE IMPLEMENTATION OF INTERDISCIPLINARY RESEARCH". – 2023. – Т. 14. – №. 1.
8.Salimjon o‘g Y. A. et al. IMPROVEMENT OF METHODS OF GEOLOCATION MAP FOR MONITORING OF CLUSTER ACTIVITY OF REGIONS AND DEVELOPMENT OF THE BASIS OF WEB CARDS //" RUSSIAN" ИННОВАЦИОННЫЕ ПОДХОДЫ В СОВРЕМЕННОЙ НАУКЕ. – 2023. – Т. 9. – №. 1.