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Year 2025, Volume: 3 Issue: 1, 1 - 20, 30.04.2025
https://doi.org/10.59292/bulletinbiomath.1707070

Abstract

References

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  • [2] Verhulst, P.F. Notice on the law that a population follows in its growth. Corresp Math Phys, 10, 113-121, (1838).
  • [3] Arino, J., Wang, L. and Wolkowicz, G.S. An alternative formulation for a delayed logistic equation. Journal of Theoretical Biology, 241(1), 109-119, (2006).
  • [4] Ruan, S. Delay differential equations in single species dynamics. In Proceedings, Delay Differential Equations and Applications, pp. 477-517, Marrakech, Morocco, (2006, September).
  • [5] May, R.M. Time-delay versus stability in population models with two and three trophic levels. Ecology, 54(2), 315-325, (1973).
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  • [7] Khan, I., Hou, F. and Le, H.P. The impact of natural resources, energy consumption, and population growth on environmental quality: Fresh evidence from the United States of America. Science of the Total Environment, 754, 142222, (2021).
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Population projection of Southeast Asia with a time-delay logistic model

Year 2025, Volume: 3 Issue: 1, 1 - 20, 30.04.2025
https://doi.org/10.59292/bulletinbiomath.1707070

Abstract

The rise in population is a vital problem in Southeast Asian countries. It has an immediate and long-term impact on basic human needs such as housing, food, clothes, and medical care. Population forecasting can be crucial to deciding which socioeconomic and population development initiatives should be implemented in a country. The unpredictable increase in population has several drawbacks. This study compares the accuracy of the process and the proximity of two mathematical models: the time-delay (i.e., maturation time) logistic population model and the classical logistic population model. The resources and ecosystems of Bangladesh, Pakistan, India, Nepal, Bhutan, and Afghanistan are under threat due to the increase in human population, as the population of these countries has increased sharply. Hence, countries should solve this problem creatively and efficiently. We determine and compare the population forecasting of the countries using the logistic population model and the time delay population model under different ecological circumstances. The classical logistic and time-delay logistic population model predicts a future population of the countries in Southeast Asia, where the present and past population projections have quite significant agreement with the existing dataset.

References

  • [1] Bacaër, N. A Short History of Mathematical Population Dynamics. Springer London: London, (2011).
  • [2] Verhulst, P.F. Notice on the law that a population follows in its growth. Corresp Math Phys, 10, 113-121, (1838).
  • [3] Arino, J., Wang, L. and Wolkowicz, G.S. An alternative formulation for a delayed logistic equation. Journal of Theoretical Biology, 241(1), 109-119, (2006).
  • [4] Ruan, S. Delay differential equations in single species dynamics. In Proceedings, Delay Differential Equations and Applications, pp. 477-517, Marrakech, Morocco, (2006, September).
  • [5] May, R.M. Time-delay versus stability in population models with two and three trophic levels. Ecology, 54(2), 315-325, (1973).
  • [6] Kuang, Y. and Gourley, S.A. Wavefronts and global stability in a time-delayed population model with stage structure. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 459(2034), 1563-1579, (2003).
  • [7] Khan, I., Hou, F. and Le, H.P. The impact of natural resources, energy consumption, and population growth on environmental quality: Fresh evidence from the United States of America. Science of the Total Environment, 754, 142222, (2021).
  • [8] Bangladesh Bureau of Statistics (BBS), Publications. https://bbs.gov.bd/site/page/ b588b454-0f88-4679-bf20-90e06dc1d10b/-
  • [9] Macrotrend, Largest Countries by Population, (2023). https://www.macrotrends.net/ global-metrics/countries/ranking/population
  • [10] Worldometer, Pakistan Population, (2025). https://www.worldometers.info/ world-population/pakistan-population/
  • [11] Worldometer, Nepal Population, (2025). https://www.worldometers.info/ world-population/nepal-population/
  • [12] Worldometer, Bhutan Population, (2025). https://www.worldometers.info/ world-population/bhutan-population/
  • [13] Worldometer, Afghanistan Population, (2025). https://www.worldometers.info/ world-population/afghanistan-population/
  • [14] Chang, L. and Jin, Z. Efficient numerical methods for spatially extended population and epidemic models with time delay. Applied Mathematics and Computation, 316, 138-154, (2018).
  • [15] Jackiewicz, Z., Liu, H., Li, B. and Kuang, Y. Numerical simulations of traveling wave solutions in a drift paradox inspired diffusive delay population model. Mathematics and Computers in Simulation, 96, 95-103, (2014).
  • [16] Marchetti, C., Meyer, P.S. and Ausubel, J.H. Human population dynamics revisited with the logistic model: how much can be modeled and predicted? Technological Forecasting and Social Change, 52(1), 1-30, (1996).
  • [17] Shepherd, J.J. and Stojkov, L. The logistic population model with slowly varying carrying capacity. Anziam Journal, 47, C492-C506, (2005).
  • [18] Haque, M., Ahmed, F., Anam, S. and Kabir, R. Future population projection of Bangladesh by growth rate modeling using logistic population model. Annals of Pure and Applied Mathematics, 1(2), 192-202, (2012).
  • [19] Kozlov, V., Radosavljevic, S. and Wennergren, U. Large time behavior of the logistic agestructured population model in a changing environment. Asymptotic Analysis, 102(1-2), 21-54,(2017).
  • [20] Safuan, H.M., Jovanoski, Z., Towers, I.N. and Sidhu, H.S. Exact solution of a non-autonomous logistic population model. Ecological Modelling, 251, 99-102, (2013).
  • [21] Gopalsamy, K. The delay logistic equation. In Stability and Oscillations in Delay Differential Equations of Population Dynamics (pp. 1-123). Dordrecht, Holland: Springer, (1992).
  • [22] Bianca, C. and Guerrini, L. Existence of limit cycles in the solow model with delayed-logistic population growth. The Scientific World Journal, 2014(1), 207806, (2014).
  • [23] Cáceres, M.O. Time-delayed coupled logistic capacity model in population dynamics. Physical Review E, 90(2), 022137, (2014).
  • [24] Gopalsamy, K., He, X.Z. and Wen, L. On a periodic neutral logistic equation. Glasgow Mathematical Journal, 33(3), 281-286.
  • [25] Rockwood, L.L. Introduction to Population Ecology. John Wiley & Sons: USA, (2015).
  • [26] Hartl, D.L., Clark, A.G. and Clark, A.G. Principles of Population Genetics. Sinauer Associates: Sunderland, (1997).
  • [27] Dasgupta, P. and Mäler, K.G. Net national product, wealth, and social well-being. Environment and Development Economics, 5(1), 69-93, (2000).
  • [28] Food and Agriculture Organization of the United Nations (FAO), Bangladesh, (2025). https: //www.fao.org/countryprofiles/index/en/?iso3=BGD
  • [29] FAO. World Food and Agriculture Statistical Yearbook 2022. FAO: Roma, (2022).
  • [30] World Bank Group, New State of Social Protection Report 2025, (2025). https://www. worldbank.org/ext/en/home
  • [31] Price, W.A. and Nguyen, T. Nutrition and Physical Degeneration: A Comparison of Primitive and Modern Diets and Their Effects. EnCognitive: California, (2016).
  • [32] Ross, A.C., Caballero, B., Cousins, R.J. and Tucker, K.L. Modern Nutrition in Health and Disease. Jones & Bartlett Learning: USA, (2020).
  • [33] The DHS Program, Demographic and Health Survey (DHS). https://dhsprogram.com/ methodology/survey-Types/dHs.cfm
  • [34] United Nations, Population Division. https://www.un.org/development/desa/pd/
  • [35] Bangladesh Bureau of Statistics (BBS). https://bbs.gov.bd/
  • [36] Zere, E., Suehiro, Y., Arifeen, A., Moonesinghe, L., Chanda, S.K. and Kirigia, J.M. Equity in reproductive and maternal health services in Bangladesh. International Journal for Equity in Health, 12, 90, (2013).
  • [37] Pakistan Bureau of Statistics (PBS), 7th Population and Housing Census-2023, (2023). https: //www.pbs.gov.pk/
  • [38] Ministry of Health and Family Welfare, India, (2025). https://mohfw.gov.in/
  • [39] Population Reference Bureau (PRB -India), (2025). https://www.prb.org/
  • [40] Open Data Nepal, Central Bureau of Statistics (CBS-Nepal). https://opendatanepal.com/ organization/central-bureau-of-statistics
  • [41] National Statistical Bureau, Bhutan (NSB Bhutan), (2025). https://www.nsb.gov.bt/
  • [42] IHME| GHDx, Central Statistics Organization (Afghanistan), (2025). https://ghdx. healthdata.org/organizations/central-statistics-organization-afghanistan
There are 42 citations in total.

Details

Primary Language English
Subjects Computational Ecology and Phylogenetics, Ecological Applications (Other), Biological Mathematics
Journal Section Research Articles
Authors

M. Showkat Akber This is me 0009-0000-4095-2012

M. Munna Hasan This is me 0009-0005-8883-891X

M. Humayun Kabir 0000-0001-8347-3564

M. Osman Gani This is me 0000-0002-8647-6143

Publication Date April 30, 2025
Submission Date August 29, 2024
Acceptance Date January 19, 2025
Published in Issue Year 2025 Volume: 3 Issue: 1

Cite

APA Akber, M. S., Hasan, M. M., Kabir, M. H., Gani, M. O. (2025). Population projection of Southeast Asia with a time-delay logistic model. Bulletin of Biomathematics, 3(1), 1-20. https://doi.org/10.59292/bulletinbiomath.1707070

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