Bangladesh has a denser population in comparison with many other countries. Though the rate of population increase has been regarded as a concerning issue, estimation of the population instability in the upcoming years may be useful for national planning. To predict Bangladesh’s future population, this study compares the estimated populations of two popular population models, the Malthusian and the logistic population models, with the country’s census population published by BBS. We also tried to find out which model gives a better approximation for forecasting the past, present, and future population between these two models.
KeywordsMalthusian Population ModelLogistic Population ModelPopulation GrowthCarrying Capacity
Banerjee, S. (2021) Mathematical Modeling: Models, Analysis and Applications. 2nd Edition, Chapman and Hall/CRC. https://doi.org/10.1201/9781351022941
Tung, K.K. and Tung, K.K. (2007) Topics in Mathematical Modeling. Princeton University Press.
Dym, C.L. (2004) Principles of Mathematical Modeling. Elsevier.
Brauer, F., Castillo-Chavez, C. and Feng, Z.L. (2019) Mathematical Models in Epidemiology. Springer.
Wattis, J.A.D. (2006) An Introduction to Mathematical Models of Coagulation-Fragmentation Processes: A Discrete Deterministic Mean-Field Approach. Physica D : Nonlinear Phenomena , 222, 1-20. https://doi.org/10.1016/j.physd.2006.07.024
Ehrlich, I. and Lui, F. (1997) The Problem of Population and Growth: A Review of the Literature from Malthus to Contemporary Models of Endogenous Population and Endogenous Growth. Journal of Economic Dynamics and Control , 21, 205-242. https://doi.org/10.1016/0165-1889(95)00930-2
Velten, K. (2008) Mathematical Modeling and Simulation: Introduction for Scientists and Engineers. Wiley. https://doi.org/10.1002/9783527627608
Marchetti, C., Meyer, P.S. and Ausubel, J.H. (1996) Human Population Dynamics Revisited with the Logistic Model: How Much Can Be Modeled and Predicted? Technological Forecasting and Social Change , 52, 1-30. https://doi.org/10.1016/0040-1625(96)00001-7
Kingsland, S. (1982) The Refractory Model: The Logistic Curve and the History of Population Ecology. The Quarterly Review of Biology , 57, 29-52. https://doi.org/10.1086/412574
Allman, E.S. and Rhodes, J.A. (2004) Mathematical Models in Biology: An Introduction. Cambridge University Press.
Upton, R. and Mould, D. (2014) Basic Concepts in Population Modeling, Simulation, and Model-Based Drug Development: Part 3—Introduction to Pharmacodynamic Modeling Methods. CPT : Pharmacometrics & Systems Pharmacology , 3, 1-16. https://doi.org/10.1038/psp.2013.71
Mould, D. and Upton, R. (2013) Basic Concepts in Population Modeling, Simulation, and Model-Based Drug Development—Part 2: Introduction to Pharmacokinetic Modeling Methods. CPT : Pharmacometrics & Systems Pharmacology , 2, 1-14. https://doi.org/10.1038/psp.2013.14
Miranda, L.C.M. and Lima, C.A.S. (2010) On the Logistic Modeling and Forecasting of Evolutionary Processes: Application to Human Population Dynamics. Technological Forecasting and Social Change , 77, 699-711. https://doi.org/10.1016/j.techfore.2010.01.006
Unat, E. (2020) A Review of Malthusian Theory of Population under the Scope of Human Capital. FORCE : Focus on Research in Contemporary Economics , 1, 132-147.
Lee, J. and Feng, W. (1999) Malthusian Models and Chinese Realities: The Chinese Demographic System 1700-2000. Population and Development Review , 25, 33-65. https://doi.org/10.1111/j.1728-4457.1999.00033.x
Crafts, N. and Mills, T.C. (2009) From Malthus to Solow: How Did the Malthusian Economy Really Evolve? Journal of Macroeconomics , 31, 68-93. https://doi.org/10.1016/j.jmacro.2007.08.007
Akhmet, M.U. (2006) An Anticipatory Extension of Malthusian Model. AIP Conference Proceedings , 839, 260-264. https://doi.org/10.1063/1.2216634
Martcheva, M. (2015) An Introduction to Mathematical Epidemiology. Springer.
Hritonenko, N. and Yatsenko, Y. (1999) Mathematical Modeling in Economics, Ecology and the Environment. Kluwer Academic Publishers.
Logan, J.D. (2013) Applied Mathematics. John Wiley & Sons.
Marchetti, C., Meyer, P.S. and Ausubel, J.H. (1996) Human Population Dynamics Revisited with the Logistic Model: How Much Can Be Modeled and Predicted? Technological Forecasting and Social Change , 52, 1-30. https://doi.org/10.1016/0040-1625(96)00001-7
Iannelli, M. and Pugliese, A. (2015) An Introduction to Mathematical Population Dynamics: Along the Trail of Volterra and Lotka. Springer.
Hoppensteadt, F.C. and Peskin, C.S. (2013) Mathematics in Medicine and the Life Sciences. Springer Science & Business Media.
Safuan, H.M., Jovanoski, Z., Towers, I.N. and Sidhu, H.S. (2013) Exact Solution of a Non-Autonomous Logistic Population Model. Ecological Modelling , 251, 99-102. https://doi.org/10.1016/j.ecolmodel.2012.12.016
Hallam, T.G. and Clark, C.E. (1981) Non-autonomous Logistic Equations as Models of Populations in a Deteriorating Environment. Journal of Theoretical Biology , 93, 303-311. https://doi.org/10.1016/0022-5193(81)90106-5
Bianca, C. and Guerrini, L. (2013) On the Dalgaard-Strulik Model with Logistic Population Growth Rate and Delayed-Carrying Capacity. Acta Applicandae Mathematicae , 128, 39-48. https://doi.org/10.1007/s10440-013-9800-0
Gopalsamy, K., He, X. and Wen, L. (1991) On a Periodic Neutral Logistic Equation. Glasgow Mathematical Journal , 33, 281-286. https://doi.org/10.1017/s001708950000834x
Liu, M., Cao, J., Liang, J. and Chen, M. (2020) Epidemic-Logistics Modeling: A New Perspective on Operations Research. Springer.
Rockwood, L.L. (2015) Introduction to Population Ecology. John Wiley & Sons.
Hartl, D.L. (1997) Principles of Population Genetics. Sinauer Association Inc.
Dasgupta, P. and Mäler, K. (2000) Net National Product, Wealth, and Social Well-being. Environment and Development Economics , 5, 69-93. https://doi.org/10.1017/s1355770x00000061
Food and Agriculture Organization of the United Nations (FAO). https://www.fao.org/countryprofiles/index/en/?iso3=BGD
FAO (2022) World Food and Agriculture Statistical Yearbook 2022. FAO.
The World Bank Group. https://www.worldbank.org/ext/en/home
Price, W.A. and Nguyen, T. (2016) Nutrition and Physical Degeneration: A Comparison of Primitive and Modern Diets and Their Effects. Keats Publisher.
Ross, A.C., et al . (2020) Modern Nutrition in Health and Disease. Jones & Bartlett Learning.