Population Projection of the Districts Noakhali, Feni, Lakhshmipur and Comilla, Bangladesh by Using Logistic Growth Model

Tanjima Akhter; Jamal Hossain; Salma Jahan

doi:doi:10.11648/j.pamj.20170606.13

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Population Projection of the Districts Noakhali, Feni, Lakhshmipur and Comilla, Bangladesh by Using Logistic Growth Model

Tanjima Akhter, Jamal Hossain, Salma Jahan

Published in Pure and Applied Mathematics Journal (Volume 6, Issue 6)

Received: 28 October 2017 Accepted: 4 December 2017 Published: 2 January 2018

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Abstract

Uncontrolled human population growth has been posing a threat to the resources and habitats of Bangladesh. Population of different region of Bangladesh has been increasing dramatically. As a thriving country Bangladesh should artistically deal with this issue. This work is all about to estimate the population projection of the districts Noakhali, Feni, Lakhshmipur and Comilla, Bangladesh. By considering logistic growth model and making use of least square method and MATLAB to compute population growth rate and carrying capacity and the year when population will be nearly half of its carrying capacity and shown population projection for the above mentioned districts and give a comparison with actual population for the same time period. Also estimate future picture of population for these districts.

Published in	Pure and Applied Mathematics Journal (Volume 6, Issue 6)
DOI	10.11648/j.pamj.20170606.13
Page(s)	164-176
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2018. Published by Science Publishing Group

Keywords

Population, Carrying Capacity, Growth Rate, Vital Coefficient, Least Square Method

References

[1]	R. B. Banks. Growth and Diffusion Phenomena: Mathematical Frame works and Applications, Springer, Berlin, 1994.
[2]	B. Martin. Differential equations and their applications 4th ed. ISBN 0-387-97894-1 Springer-Verlag, New York, 1992.
[3]	H. Von Foerster. Some remarks on changing population, in “The Kinetics of Cell Cellular Proliferation”, F. Stohlman Jr., Ed, Grune and Stratton, New York, 1959, pp. 387–407.
[4]	M. J. Hossain, M. R. Hossain, D. Datta and M. S. Islam. “Mathematical Modeling of Bangladesh Population Growth”. Journal of Statistics & Management Systems Vol. 18(2015), No. 3, pp. 289–300, DOI: 10.1080/09720510.2014.943475.
[5]	“Population and Housing Census 2011”. Zila Report: Noakhali, Bangladesh Statistical Bureau, Bangladesh.
[6]	“Population and Housing Census 2011”. Zila Report: Feni, Bangladesh Statistical Bureau, Bangladesh.
[7]	“Population and Housing Census 2011”. Zila Report: Lakhshmipur, Bangladesh Statistical Bureau, Bangladesh.
[8]	“Population and Housing Census 2011”. Zila Report: Comilla, Bangladesh Statistical Bureau, Bangladesh.
[9]	J. D. Murray. Mathematical Biology, Third Edition, Springer.
[10]	A. Jafar. Differential equations and their applications, 2nd ed. Prentice Hall, New Delhi, 2004.
[11]	F. R. Sharpe and A. J. Lotka. A problem in age distribution, Phil. Magazine, 21, 1911, pp. 435–438.
[12]	A. Wali, D. Ntubabare and V. Mboniragira. Mathematical Model¬ing of Rwanda Population Growth: Journal of Applied Mathematical Sciences, Vol. 5(53), 2011, pp. 2617–2628.
[13]	Plackett, R. L. (1972). The discovery of the method of least squares. Biometrika, 59, 239–251.
[14]	Fred Brauer Carols Castillo-Chavez, Mathematical Models in Population Biology and Epidemiology, Springer, 2001.

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APA Style

Tanjima Akhter, Jamal Hossain, Salma Jahan. (2018). Population Projection of the Districts Noakhali, Feni, Lakhshmipur and Comilla, Bangladesh by Using Logistic Growth Model. Pure and Applied Mathematics Journal, 6(6), 164-176. https://doi.org/10.11648/j.pamj.20170606.13

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ACS Style

Tanjima Akhter; Jamal Hossain; Salma Jahan. Population Projection of the Districts Noakhali, Feni, Lakhshmipur and Comilla, Bangladesh by Using Logistic Growth Model. Pure Appl. Math. J. 2018, 6(6), 164-176. doi: 10.11648/j.pamj.20170606.13

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AMA Style

Tanjima Akhter, Jamal Hossain, Salma Jahan. Population Projection of the Districts Noakhali, Feni, Lakhshmipur and Comilla, Bangladesh by Using Logistic Growth Model. Pure Appl Math J. 2018;6(6):164-176. doi: 10.11648/j.pamj.20170606.13

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@article{10.11648/j.pamj.20170606.13,
  author = {Tanjima Akhter and Jamal Hossain and Salma Jahan},
  title = {Population Projection of the Districts Noakhali, Feni, Lakhshmipur and Comilla, Bangladesh by Using Logistic Growth Model},
  journal = {Pure and Applied Mathematics Journal},
  volume = {6},
  number = {6},
  pages = {164-176},
  doi = {10.11648/j.pamj.20170606.13},
  url = {https://doi.org/10.11648/j.pamj.20170606.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20170606.13},
  abstract = {Uncontrolled human population growth has been posing a threat to the resources and habitats of Bangladesh. Population of different region of Bangladesh has been increasing dramatically. As a thriving country Bangladesh should artistically deal with this issue. This work is all about to estimate the population projection of the districts Noakhali, Feni, Lakhshmipur and Comilla, Bangladesh. By considering logistic growth model and making use of least square method and MATLAB to compute population growth rate and carrying capacity and the year when population will be nearly half of its carrying capacity and shown population projection for the above mentioned districts and give a comparison with actual population for the same time period. Also estimate future picture of population for these districts.},
 year = {2018}
}

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TY  - JOUR
T1  - Population Projection of the Districts Noakhali, Feni, Lakhshmipur and Comilla, Bangladesh by Using Logistic Growth Model
AU  - Tanjima Akhter
AU  - Jamal Hossain
AU  - Salma Jahan
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T2  - Pure and Applied Mathematics Journal
JF  - Pure and Applied Mathematics Journal
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AB  - Uncontrolled human population growth has been posing a threat to the resources and habitats of Bangladesh. Population of different region of Bangladesh has been increasing dramatically. As a thriving country Bangladesh should artistically deal with this issue. This work is all about to estimate the population projection of the districts Noakhali, Feni, Lakhshmipur and Comilla, Bangladesh. By considering logistic growth model and making use of least square method and MATLAB to compute population growth rate and carrying capacity and the year when population will be nearly half of its carrying capacity and shown population projection for the above mentioned districts and give a comparison with actual population for the same time period. Also estimate future picture of population for these districts.
VL  - 6
IS  - 6
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Author Information

Tanjima Akhter

Department of Applied Mathematics, Noakhali Science and Technology University, Noakhali, Bangladesh
Jamal Hossain

Department of Applied Mathematics, Noakhali Science and Technology University, Noakhali, Bangladesh
Salma Jahan

Department of Applied Mathematics, Noakhali Science and Technology University, Noakhali, Bangladesh

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APA Style

Tanjima Akhter, Jamal Hossain, Salma Jahan. (2018). Population Projection of the Districts Noakhali, Feni, Lakhshmipur and Comilla, Bangladesh by Using Logistic Growth Model. Pure and Applied Mathematics Journal, 6(6), 164-176. https://doi.org/10.11648/j.pamj.20170606.13

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ACS Style

Tanjima Akhter; Jamal Hossain; Salma Jahan. Population Projection of the Districts Noakhali, Feni, Lakhshmipur and Comilla, Bangladesh by Using Logistic Growth Model. Pure Appl. Math. J. 2018, 6(6), 164-176. doi: 10.11648/j.pamj.20170606.13

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AMA Style

Tanjima Akhter, Jamal Hossain, Salma Jahan. Population Projection of the Districts Noakhali, Feni, Lakhshmipur and Comilla, Bangladesh by Using Logistic Growth Model. Pure Appl Math J. 2018;6(6):164-176. doi: 10.11648/j.pamj.20170606.13

Copy | Download

@article{10.11648/j.pamj.20170606.13,
  author = {Tanjima Akhter and Jamal Hossain and Salma Jahan},
  title = {Population Projection of the Districts Noakhali, Feni, Lakhshmipur and Comilla, Bangladesh by Using Logistic Growth Model},
  journal = {Pure and Applied Mathematics Journal},
  volume = {6},
  number = {6},
  pages = {164-176},
  doi = {10.11648/j.pamj.20170606.13},
  url = {https://doi.org/10.11648/j.pamj.20170606.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20170606.13},
  abstract = {Uncontrolled human population growth has been posing a threat to the resources and habitats of Bangladesh. Population of different region of Bangladesh has been increasing dramatically. As a thriving country Bangladesh should artistically deal with this issue. This work is all about to estimate the population projection of the districts Noakhali, Feni, Lakhshmipur and Comilla, Bangladesh. By considering logistic growth model and making use of least square method and MATLAB to compute population growth rate and carrying capacity and the year when population will be nearly half of its carrying capacity and shown population projection for the above mentioned districts and give a comparison with actual population for the same time period. Also estimate future picture of population for these districts.},
 year = {2018}
}

Copy | Download

TY  - JOUR
T1  - Population Projection of the Districts Noakhali, Feni, Lakhshmipur and Comilla, Bangladesh by Using Logistic Growth Model
AU  - Tanjima Akhter
AU  - Jamal Hossain
AU  - Salma Jahan
Y1  - 2018/01/02
PY  - 2018
N1  - https://doi.org/10.11648/j.pamj.20170606.13
DO  - 10.11648/j.pamj.20170606.13
T2  - Pure and Applied Mathematics Journal
JF  - Pure and Applied Mathematics Journal
JO  - Pure and Applied Mathematics Journal
SP  - 164
EP  - 176
PB  - Science Publishing Group
SN  - 2326-9812
UR  - https://doi.org/10.11648/j.pamj.20170606.13
AB  - Uncontrolled human population growth has been posing a threat to the resources and habitats of Bangladesh. Population of different region of Bangladesh has been increasing dramatically. As a thriving country Bangladesh should artistically deal with this issue. This work is all about to estimate the population projection of the districts Noakhali, Feni, Lakhshmipur and Comilla, Bangladesh. By considering logistic growth model and making use of least square method and MATLAB to compute population growth rate and carrying capacity and the year when population will be nearly half of its carrying capacity and shown population projection for the above mentioned districts and give a comparison with actual population for the same time period. Also estimate future picture of population for these districts.
VL  - 6
IS  - 6
ER  -

Copy | Download