Analyzing and Projection of Future Bangladesh Population Using Logistic Growth Model
- 1 Department of Mathematics, FENI UNIVERSITY, Feni, Bangladesh
- 2 Department of Mathematics, Hamdard University Bangladesh, Munshiganj, Bangladesh
- 3 Department of Mathematics, Bangladesh Army International University of Science & Technology, Comilla, Bangladesh
- 4 Department of Mathematics, Bangladesh University of Engineering & Technology (BUET), Dhaka, Bangladesh
Abstract
Bangladesh is a densely populated country than many other countries of the world. The population growth is termed as alarming, however, knowledge of growth in the years to come would be useful in planning for the development of the country. This article is based on the projection of future population growth of the country. The available actual population census data during 1991-2011 of Bangladesh was applied to the application of a non-linear, non-autonomous ordinary differential equation familiar as Verhulst logistic population model with the maximum environmental capability of Bangladesh. Bangladesh will reach its carrying capacity of 245.09 million population in the next 56 years i.e. the year 2067 and then it decreases as S-shaped curve. The article has provided a focus on the changing trends of the growth of the population of Bangladesh.
- Murray, J.D. (2002) Mathematical Biology: An Introduction. Springer, New York, 1-75. https://doi.org/10.1007/b98868
- Malthus, T.R. (1798) An Essay on the Principle of Population, Introduction by Philip Appleman, and Assorted Commentary on Malthus Edited by Appleman: Library of Economics. Norton Critical Editions, ISBN 0-393-09202-X.
- Verhulst, Pierre-François (1845) Recherche s mathématiques sur la loi d’accroissement de la population Mathematical Researches into the Law of Population Growth Increase. Nouveaux Mémoires de l’Académie Royale des Sciences et Belles-Lettres de Bruxelles, 18, 1-42.
- Raymond Pearl and Reed, L.J. (1920) On the Rate of Growth of the Population of the USA Since 1790 and Its Mathematical Representation. Proceeding of the National Academy of Science, 6, 275-288. https://doi.org/10.1073/pnas.6.6.275
- Obaidullah, M. (1976) Expo-Linear Model for Population Growth. Rural Demography, 3, 43-69.
- Mallick, A.A. (1980) Implausibility of Attaining Zero Population Growth in Banthin Next 100 Years. Rural Demography, 7, 33-39.
- Beekman, J.A. (1981) Several Demographic Projection Techniques. Rural Demography, 8, 1-11.
- Kabir, M. and Chowdhury, A.A. (1982) Population Growth and Food Production in Bangladesh. Rural Demography, 9, 25-56.
- Ghulam Rabbani, A.K.M. and Md Shadat Hossain (1981) Population Projection of Bangladesh (1975-2025), BBS, Dhaka.
- BBS, Bangladesh Population Census-2011, Bangladesh Bureau of Statistics, Government of Bangladesh, Dhaka, 2011.
- Mathews, J.H. (1992) Bounded Population: A curve Fitting Lesson. Mathematics and Computer Science, 26, 2-31.