This paper deals with modeling the spread of Malaria in Adamawa State of Nigeria. The simple SIR model and data obtained from the World Health Organization WHO, Adamawa was used to analyze the rate of infection of malaria in the state. It was discovered that > 0. Based on the principle of which states that when < 0, the infection will die out with a certainty, but if > 0, there will be a proper malaria outbreak. It was observed that the force of infection of malaria in the Adamawa state is high. Some necessary recommendations for the eradication of malaria were made.
| Published in | American Journal of Applied Mathematics (Volume 1, Issue 1) |
| DOI | 10.11648/j.ajam.20130101.11 |
| Page(s) | 1-7 |
| 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), 2013. Published by Science Publishing Group |
Disease-Free Equilibrium, Force Of Infection, Infectious disease, Jacobian Matrix, Reproduction Ratio
| [1] | Anderson, R,M, and R,M, May, 1981, The population dy-namics of micro parasites and their invertebrate hosts, Phil, Trans, R, Soc, Lond, B,, 291: 451-524. |
| [2] | Aron, J,L, and R,M, May, 1982, The Population Dynamics of Malaria, In: Anderson, R,M, (Ed,), The Population Dy-namics of Infectious Diseases: The theory and Applications, London, pp: 139-179, Bailey, N,T,J,, 1982, The Biomathe-matics of Malaria, Charles Griffin and Company Ltd,, Lon-don. |
| [3] | Carter, R,, K,N, Mendis, L,H, Miller, L, Monlineaux and A,L, Soul, 2000, Malaria transmission – blocking vaccines - how can their development be supported? Nature, 6: 241-244. |
| [4] | Day, K,P,, R,E, Hayward and M, Dyer, 1998, The biology of plasmodium falcparum transmission stages, Parasitology, 116(Suppl): S95-S109. |
| [5] | Engers, H,D, and T, Godal, 1998, Malaria Vaccine Devel-opment; Current Status, Parasitol, Today, Trend, Parasitol,, 14: 56-64. |
| [6] | Macdonal, G,, 1957, The Epidemiology and Control of Malaria, Oxford University Press, Oxford. |
| [7] | Nasell, I,, 1987, Malaria Infection with Relapses and Mis-diagnosis, In: Gabriel, J,P,, C, Lequere and P, Picard, (Eds,), Stochastic Process in Epidemic Theory, Lecture Notes Bio-math, 86, Springer Verlag, New York. |
| [8] | Perandin F, (2003), Development of a Real-time PCR assay for detection of plasmodium falciparum, plsmodium vivax, and plasmodium ovale for routine clinical diagnosis, Journal of clinical microbiology, 42 (3), 1214-1219, A Moody, Rapid diagnostic tests for malaria parasites, Clin Microbiol Rev 15 (2002), pp, 66–78. |
| [9] | World Health Organisation (2011), Routine Yearly Notifica-tion Form: IDSR 2006-2011. |
APA Style
Adamu Abdul Kareem, Moses Vandi Tumba, Dang Bwebum Cleofas. (2013). Modeling the Spread of Malaria in North-Eastern Nigeria: a Case Study of Adamawa State. American Journal of Applied Mathematics, 1(1), 1-7. https://doi.org/10.11648/j.ajam.20130101.11
ACS Style
Adamu Abdul Kareem; Moses Vandi Tumba; Dang Bwebum Cleofas. Modeling the Spread of Malaria in North-Eastern Nigeria: a Case Study of Adamawa State. Am. J. Appl. Math. 2013, 1(1), 1-7. doi: 10.11648/j.ajam.20130101.11
AMA Style
Adamu Abdul Kareem, Moses Vandi Tumba, Dang Bwebum Cleofas. Modeling the Spread of Malaria in North-Eastern Nigeria: a Case Study of Adamawa State. Am J Appl Math. 2013;1(1):1-7. doi: 10.11648/j.ajam.20130101.11
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Download@article{10.11648/j.ajam.20130101.11,
author = {Adamu Abdul Kareem and Moses Vandi Tumba and Dang Bwebum Cleofas},
title = {Modeling the Spread of Malaria in North-Eastern Nigeria: a Case Study of Adamawa State},
journal = {American Journal of Applied Mathematics},
volume = {1},
number = {1},
pages = {1-7},
doi = {10.11648/j.ajam.20130101.11},
url = {https://doi.org/10.11648/j.ajam.20130101.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20130101.11},
abstract = {This paper deals with modeling the spread of Malaria in Adamawa State of Nigeria. The simple SIR model and data obtained from the World Health Organization WHO, Adamawa was used to analyze the rate of infection of malaria in the state. It was discovered that > 0. Based on the principle of which states that when 0, there will be a proper malaria outbreak. It was observed that the force of infection of malaria in the Adamawa state is high. Some necessary recommendations for the eradication of malaria were made.},
year = {2013}
}
TY - JOUR T1 - Modeling the Spread of Malaria in North-Eastern Nigeria: a Case Study of Adamawa State AU - Adamu Abdul Kareem AU - Moses Vandi Tumba AU - Dang Bwebum Cleofas Y1 - 2013/04/02 PY - 2013 N1 - https://doi.org/10.11648/j.ajam.20130101.11 DO - 10.11648/j.ajam.20130101.11 T2 - American Journal of Applied Mathematics JF - American Journal of Applied Mathematics JO - American Journal of Applied Mathematics SP - 1 EP - 7 PB - Science Publishing Group SN - 2330-006X UR - https://doi.org/10.11648/j.ajam.20130101.11 AB - This paper deals with modeling the spread of Malaria in Adamawa State of Nigeria. The simple SIR model and data obtained from the World Health Organization WHO, Adamawa was used to analyze the rate of infection of malaria in the state. It was discovered that > 0. Based on the principle of which states that when 0, there will be a proper malaria outbreak. It was observed that the force of infection of malaria in the Adamawa state is high. Some necessary recommendations for the eradication of malaria were made. VL - 1 IS - 1 ER -
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