Use of Differential Equations in Population Growth Analysis
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821-830
Published:
Oct 15, 2024
Digital Object Identifier:
10.58578/ajstea.v2i6.3951
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Authors:
Sarswati Kumari Sah1, Suresh Kumar Sahani2 
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Abstract
In this assignment we discussed differential equation applications in real-world scenarios. Differential equations are a significant area of mathematics with applications in many fields, including engineering, astronomy, biology, chemistry, physics, economics, and finance. Differential equations are used in economics to explain many concepts such as restricted and infinite growth, equilibrium and stability, and the dynamics of supply and demand in an economy. Differential equations will be used to examine several facets of Nepal in this research assignment.
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Sah, S. K., & Sahani, S. K. (2024). Use of Differential Equations in Population Growth Analysis. Asian Journal of Science, Technology, Engineering, and Art, 2(6), 821-830. https://doi.org/10.58578/ajstea.v2i6.3951
Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
References
S.K. Sahani and K. Sahani. (2018). Study and Analysis of Dynamical Models of Plant Growth Analysis in Calculus, Int. J. of Engineering, Pure and Applied Sciences, vol. 3, No.1, March, 30-35.
S.K. Sahani and K.S. Prasad. (2022). Some New Applications of Calculus to Non-linear Sciences, Published in: Applied Science Periodical ISSN 0972-5504,Volume: XXIV, No. 4, November, pp. 1-9.Online Link: https://internationaljournalsiwan.com/applied,science-volume-XXIV-4-nov 2022. php DOI No.: https://doi.org/10.5281/zenodo.7865875,
H. Vasishtha and S.K. Sahani. (2014). USE AND APPLICATION OF DERIVATIVE INFRACTIONAL CALCULUS AND OTHER SCIENCES, Published in Applied Science Periodical, ISSN 0972-5504 Volume XVI, No. 2, May, pp. 58-67. (A Refereed and Peer-Reviewed Quarterly Periodical).
S.K. Sahani. (2016). A CERTAIN STUDIES OF SOME PROBLEMS OF ADAMS-BASHFORTHMOULTON ALGORITHM, Applied Science Periodical, ISSN 0972-5504 Volume XVIII, No. 4, November, pp. 164-173. (A Refereed and Peer-Reviewed Quarterly Periodical).
H. Vasishtha and S.K. Sahani. (2016). Fractional calculus and its application in different fields, Smart Vision, vol.4, ISSN 2350-8841.
H. Vasishtha and S. K. Sahani. (2015). Analysis of real life application of derivatives in several engineering fields, Smart Vision, Vol.3, pp. 74-82, ISSN 2350-8841.
S. K. Sahani. (2021). The Importance in History of Derivatives in Real Life Applications, International Conference on Mathematical Techniques, Application of Science And Technology, ICMTAST-, 401-408.
S.K. Sahani, et al. (2023). Evidence From International Financial Markets on Stock Market Liquidity During Times of Distress and Its Consequence, International Journal of Advance Technology and Social Sciences, Vol.1, No.1, 1-14, doi:https://doi.org/10.59890/ijatss.v1i1.352.
A. Jha, S.K. Sahani, A. Jha, and K. Sahani. (2023). From Equations to Insights: Navigating the Canvas of Tumor Growth Dynamics, MASALIQ Jurnal Pendidikan dan Sains, Vol.3, No.6,1246-1264, November https://doi.org/10.58578/masaliq.v3i6.1983.
P. Sharma, S.K. Sahani, K.S. Sahani and K. Sharma. (2023). Modeling Planetary and Stellar Motion Using Differential Equations, ARZUSIN Journal Manajeman Pendidikan Dasar, Vol.3, Issue 6, 769-782, December, https://ejournal.yasin-alsys.org/index.php/arzusin.
S.K. Sahani et al. (2024). Analytical Framework, Differential Equations in Aerospace Engineering, ALSYSTECH Journal of Education Technology, Vol.2, Issue 1, 13-30, January.
S.K Sahani et al. (2023). Constructing a Precise Method to Control Non-Linear Systems Employing Special Functions and Machine Learning, Communications on Applied Nonlinear Analysis, Vol.30, No.2, 1-14.
K.K. Sah, S.K. Sahani, K. Sahani, and B.K. Sah. (2024). A Study and Examined of Exponential Function: A Journey of its Applications in Real Life, Mikailalsys Journal of Advanced Engineering International, Vol.1, Issue 1, March 2024, 23-32.
P. Karn, S.K. Sahani, K. Sahani. (2024). Study and Analysis of Some Practical Life Uses and Applications of Exponential Function, Mikailalsys Journal of Advanced Engineering International, Vol.1, Issue 1, March 2024, 43-56.
S.K. Mahato, S.K. Sahani, et al. (2024). Study and Analysis of Some Real Life Applications of Exponential Function, EDUMALSYS Journal of Research in Education Management, Vol.2, Issue 1, 13-26.
S. Jha, and & S.K.Sahani. (2024). Research Paper Unveiling the Power of Exponential Functions: Applications in Our Daily Lives. ARZUSIN, 4(3), 402-409. https://doi.org/10.58578/arzusin.v4i3.2861
Chaurasiya, P., Sharma, N., Chaudhary, S., Sah, S., Sahani, S., & Sahani, K. (2024). Study and Analysis of Some Real Life Applications of Exponential Function Based on Population Growth Rate of Nepal. Asian Journal of Science, Technology, Engineering, and Art, 2(3), 352-361. https://doi.org/10.58578/ajstea.v2i3.2863.
Pandit, J. K., Sahani, S., & Sahani, K. (2024). Analysis of Some Practical Life Uses and Applications of Exponential Function. Journal of Multidisciplinary Science: MIKAILALSYS, 2(2), 179-192. https://doi.org/10.58578/mikailalsys.v2i2.2864.
Sah, B., Mandal, N., Sahani, S., & Sahani, K. (2024). Applications of Exponential Function in Our Real Lives. International Journal of Humanities, Education, and Social Sciences, 2(2), 144-153. https://doi.org/10.58578/ijhess.v2i2.2872.
Sah, S. K., Sahani, S., Sahani, K., & Sharma, D. K. (2024). Some real Life Application of Derivatives in Economics. Mikailalsys Journal of Advanced Engineering International, 1(2), 120-131. https://doi.org/10.58578/mjaei.v1i2.2954.
Thakur, K. K., Sahani, S., Thakur, A. K., Sahani, K., Prasad, N. K., & Sah, B. K. (2024). Use of Exponential Function in Plant Growth Analysis: A Mathematical Study of Herbal Plants in Nepal. TSAQOFAH, 4(3), 2254-2263. https://doi.org/10.58578/tsaqofah.v4i3.3110.
Sah, A. K., Sah, D. K., Sah, M. K., Sahani, S., Sahani, K., Mandal, D., & Karna, S. (2024). Study and Analysis of Some Impact on GDP of Nepal by Increase the Exports and Decreasing Import, on Economic Growth of Nepal with the Help of Exponential Function. FONDATIA, 8(2), 168-176. https://doi.org/10.36088/fondatia.v8i2.4650.
Ali, A. A. ., Sahani, S. K. ., & Sahani, K. (2024). PROJECT ON SOME REAL-LIFE APPLICATION OF EXPONENTIAL FUNCTION. JOURNAL OF THEORY, MATHEMATICS AND PHYSICS, 3(9), 1–8. Retrieved from http://jtmp.innovascience.uz/index.php/journal/article/view/185.
S.K. Sahani and K.S. Prasad. (2022). Some New Applications of Calculus to Non-linear Sciences, Published in: Applied Science Periodical ISSN 0972-5504,Volume: XXIV, No. 4, November, pp. 1-9.Online Link: https://internationaljournalsiwan.com/applied,science-volume-XXIV-4-nov 2022. php DOI No.: https://doi.org/10.5281/zenodo.7865875,
H. Vasishtha and S.K. Sahani. (2014). USE AND APPLICATION OF DERIVATIVE INFRACTIONAL CALCULUS AND OTHER SCIENCES, Published in Applied Science Periodical, ISSN 0972-5504 Volume XVI, No. 2, May, pp. 58-67. (A Refereed and Peer-Reviewed Quarterly Periodical).
S.K. Sahani. (2016). A CERTAIN STUDIES OF SOME PROBLEMS OF ADAMS-BASHFORTHMOULTON ALGORITHM, Applied Science Periodical, ISSN 0972-5504 Volume XVIII, No. 4, November, pp. 164-173. (A Refereed and Peer-Reviewed Quarterly Periodical).
H. Vasishtha and S.K. Sahani. (2016). Fractional calculus and its application in different fields, Smart Vision, vol.4, ISSN 2350-8841.
H. Vasishtha and S. K. Sahani. (2015). Analysis of real life application of derivatives in several engineering fields, Smart Vision, Vol.3, pp. 74-82, ISSN 2350-8841.
S. K. Sahani. (2021). The Importance in History of Derivatives in Real Life Applications, International Conference on Mathematical Techniques, Application of Science And Technology, ICMTAST-, 401-408.
S.K. Sahani, et al. (2023). Evidence From International Financial Markets on Stock Market Liquidity During Times of Distress and Its Consequence, International Journal of Advance Technology and Social Sciences, Vol.1, No.1, 1-14, doi:https://doi.org/10.59890/ijatss.v1i1.352.
A. Jha, S.K. Sahani, A. Jha, and K. Sahani. (2023). From Equations to Insights: Navigating the Canvas of Tumor Growth Dynamics, MASALIQ Jurnal Pendidikan dan Sains, Vol.3, No.6,1246-1264, November https://doi.org/10.58578/masaliq.v3i6.1983.
P. Sharma, S.K. Sahani, K.S. Sahani and K. Sharma. (2023). Modeling Planetary and Stellar Motion Using Differential Equations, ARZUSIN Journal Manajeman Pendidikan Dasar, Vol.3, Issue 6, 769-782, December, https://ejournal.yasin-alsys.org/index.php/arzusin.
S.K. Sahani et al. (2024). Analytical Framework, Differential Equations in Aerospace Engineering, ALSYSTECH Journal of Education Technology, Vol.2, Issue 1, 13-30, January.
S.K Sahani et al. (2023). Constructing a Precise Method to Control Non-Linear Systems Employing Special Functions and Machine Learning, Communications on Applied Nonlinear Analysis, Vol.30, No.2, 1-14.
K.K. Sah, S.K. Sahani, K. Sahani, and B.K. Sah. (2024). A Study and Examined of Exponential Function: A Journey of its Applications in Real Life, Mikailalsys Journal of Advanced Engineering International, Vol.1, Issue 1, March 2024, 23-32.
P. Karn, S.K. Sahani, K. Sahani. (2024). Study and Analysis of Some Practical Life Uses and Applications of Exponential Function, Mikailalsys Journal of Advanced Engineering International, Vol.1, Issue 1, March 2024, 43-56.
S.K. Mahato, S.K. Sahani, et al. (2024). Study and Analysis of Some Real Life Applications of Exponential Function, EDUMALSYS Journal of Research in Education Management, Vol.2, Issue 1, 13-26.
S. Jha, and & S.K.Sahani. (2024). Research Paper Unveiling the Power of Exponential Functions: Applications in Our Daily Lives. ARZUSIN, 4(3), 402-409. https://doi.org/10.58578/arzusin.v4i3.2861
Chaurasiya, P., Sharma, N., Chaudhary, S., Sah, S., Sahani, S., & Sahani, K. (2024). Study and Analysis of Some Real Life Applications of Exponential Function Based on Population Growth Rate of Nepal. Asian Journal of Science, Technology, Engineering, and Art, 2(3), 352-361. https://doi.org/10.58578/ajstea.v2i3.2863.
Pandit, J. K., Sahani, S., & Sahani, K. (2024). Analysis of Some Practical Life Uses and Applications of Exponential Function. Journal of Multidisciplinary Science: MIKAILALSYS, 2(2), 179-192. https://doi.org/10.58578/mikailalsys.v2i2.2864.
Sah, B., Mandal, N., Sahani, S., & Sahani, K. (2024). Applications of Exponential Function in Our Real Lives. International Journal of Humanities, Education, and Social Sciences, 2(2), 144-153. https://doi.org/10.58578/ijhess.v2i2.2872.
Sah, S. K., Sahani, S., Sahani, K., & Sharma, D. K. (2024). Some real Life Application of Derivatives in Economics. Mikailalsys Journal of Advanced Engineering International, 1(2), 120-131. https://doi.org/10.58578/mjaei.v1i2.2954.
Thakur, K. K., Sahani, S., Thakur, A. K., Sahani, K., Prasad, N. K., & Sah, B. K. (2024). Use of Exponential Function in Plant Growth Analysis: A Mathematical Study of Herbal Plants in Nepal. TSAQOFAH, 4(3), 2254-2263. https://doi.org/10.58578/tsaqofah.v4i3.3110.
Sah, A. K., Sah, D. K., Sah, M. K., Sahani, S., Sahani, K., Mandal, D., & Karna, S. (2024). Study and Analysis of Some Impact on GDP of Nepal by Increase the Exports and Decreasing Import, on Economic Growth of Nepal with the Help of Exponential Function. FONDATIA, 8(2), 168-176. https://doi.org/10.36088/fondatia.v8i2.4650.
Ali, A. A. ., Sahani, S. K. ., & Sahani, K. (2024). PROJECT ON SOME REAL-LIFE APPLICATION OF EXPONENTIAL FUNCTION. JOURNAL OF THEORY, MATHEMATICS AND PHYSICS, 3(9), 1–8. Retrieved from http://jtmp.innovascience.uz/index.php/journal/article/view/185.