Malaria is one of infectious diseases and has become the most public health issue especially in developing countries. Mathematically, the spread of malaria can be modeled to predict the dynamics of the outbreak of the disease. The present research studies the impact of migration of susceptible population on the dynamics of malaria transmission. In this paper an improved mathematical model is constructed based on a set of reasonable assumptions. Validity of the model is proved by verifying positivity of the solution. Mathematical analysis is carried out including equilibrium point analysis. Basic reproduction number of the model is determined so as to study the effect of migration parameter on the malaria outbreak. It has been observed that the migration parameter is directly proportional to the malaria outbreak. Hence, it is suggested that in order to keep the malaria outbreak under control, the migration parameter is required to be minimized. That is, migration of populations is recommended to reduce so as to reduce the impact of malaria outbreak.
| Published in | American Journal of Applied Mathematics (Volume 6, Issue 3) |
| DOI | 10.11648/j.ajam.20180603.13 |
| Page(s) | 117-127 |
| 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. |
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Copyright © The Author(s), 2024. Published by Science Publishing Group |
Malaria Outbreak, Reproduction Number, Migration Parameter, Numerical Simulation
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APA Style
Alemu Geleta Wedajo, Boka Kumsa Bole, Purnachandra Rao Koya. (2018). The Impact of Susceptible Human Immigrants on the Spread and Dynamics of Malaria Transmission. American Journal of Applied Mathematics, 6(3), 117-127. https://doi.org/10.11648/j.ajam.20180603.13
ACS Style
Alemu Geleta Wedajo; Boka Kumsa Bole; Purnachandra Rao Koya. The Impact of Susceptible Human Immigrants on the Spread and Dynamics of Malaria Transmission. Am. J. Appl. Math. 2018, 6(3), 117-127. doi: 10.11648/j.ajam.20180603.13
AMA Style
Alemu Geleta Wedajo, Boka Kumsa Bole, Purnachandra Rao Koya. The Impact of Susceptible Human Immigrants on the Spread and Dynamics of Malaria Transmission. Am J Appl Math. 2018;6(3):117-127. doi: 10.11648/j.ajam.20180603.13
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Download@article{10.11648/j.ajam.20180603.13,
author = {Alemu Geleta Wedajo and Boka Kumsa Bole and Purnachandra Rao Koya},
title = {The Impact of Susceptible Human Immigrants on the Spread and Dynamics of Malaria Transmission},
journal = {American Journal of Applied Mathematics},
volume = {6},
number = {3},
pages = {117-127},
doi = {10.11648/j.ajam.20180603.13},
url = {https://doi.org/10.11648/j.ajam.20180603.13},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20180603.13},
abstract = {Malaria is one of infectious diseases and has become the most public health issue especially in developing countries. Mathematically, the spread of malaria can be modeled to predict the dynamics of the outbreak of the disease. The present research studies the impact of migration of susceptible population on the dynamics of malaria transmission. In this paper an improved mathematical model is constructed based on a set of reasonable assumptions. Validity of the model is proved by verifying positivity of the solution. Mathematical analysis is carried out including equilibrium point analysis. Basic reproduction number of the model is determined so as to study the effect of migration parameter on the malaria outbreak. It has been observed that the migration parameter is directly proportional to the malaria outbreak. Hence, it is suggested that in order to keep the malaria outbreak under control, the migration parameter is required to be minimized. That is, migration of populations is recommended to reduce so as to reduce the impact of malaria outbreak.},
year = {2018}
}
TY - JOUR T1 - The Impact of Susceptible Human Immigrants on the Spread and Dynamics of Malaria Transmission AU - Alemu Geleta Wedajo AU - Boka Kumsa Bole AU - Purnachandra Rao Koya Y1 - 2018/08/02 PY - 2018 N1 - https://doi.org/10.11648/j.ajam.20180603.13 DO - 10.11648/j.ajam.20180603.13 T2 - American Journal of Applied Mathematics JF - American Journal of Applied Mathematics JO - American Journal of Applied Mathematics SP - 117 EP - 127 PB - Science Publishing Group SN - 2330-006X UR - https://doi.org/10.11648/j.ajam.20180603.13 AB - Malaria is one of infectious diseases and has become the most public health issue especially in developing countries. Mathematically, the spread of malaria can be modeled to predict the dynamics of the outbreak of the disease. The present research studies the impact of migration of susceptible population on the dynamics of malaria transmission. In this paper an improved mathematical model is constructed based on a set of reasonable assumptions. Validity of the model is proved by verifying positivity of the solution. Mathematical analysis is carried out including equilibrium point analysis. Basic reproduction number of the model is determined so as to study the effect of migration parameter on the malaria outbreak. It has been observed that the migration parameter is directly proportional to the malaria outbreak. Hence, it is suggested that in order to keep the malaria outbreak under control, the migration parameter is required to be minimized. That is, migration of populations is recommended to reduce so as to reduce the impact of malaria outbreak. VL - 6 IS - 3 ER -
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