Mathematical Model of the Transmission Dynamics of Lassa Fever Infection with Controls

Sambo Dachollom; Chinwendu Emilian Madubueze

doi:doi:10.11648/j.mma.20200502.13

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Mathematical Model of the Transmission Dynamics of Lassa Fever Infection with Controls

Sambo Dachollom, Chinwendu Emilian Madubueze

Published in Mathematical Modelling and Applications (Volume 5, Issue 2)

Received: 23 February 2020 Accepted: 16 March 2020 Published: 31 March 2020

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Abstract

After fifty years of documented history of Lassa fever in Nigeria, the country is still recording the highest record of outbreaks worldwide with Ebonyi state been the most affected state in the whole of Eastern Nigeria. This has activated interventional measures coming from both the government and scholars. The government through the Nigeria Centre for Disease Control (NCDC) and other sister agencies has activated an emergency response by establishing management centres which operates in association with specialist teaching hospitals in the endemic states, the scholars on the other hand are approaching the menace from two broad but complimentary aspects of sciences namely; the medical sciences and the natural sciences. The medical researchers focus more on developing reliable laboratory diagnosis, quicker methods of identifying the LASV and drug/vaccine formulation, the natural scientist (Bio-mathematicians) on the other hand focuses on modeling the dynamic transmission and controls among the various hosts of the LASV. This paper presents a mathematical model that tracks the transmission dynamics of Lassa fever in two different but complimentary host; human host and rat host. The model incorporates a death infectious human compartment capable of infecting susceptible population. The model analysis, basic reproduction number, existence of endemic equilibrium and bifurcation analysis was analyzed. It was established that the disease-free equilibrium point is stable when the reproduction number, R₀<1 and the disease dies out. Numerical simulation was carried out with parametized data for Ebonyi State, Eastern Nigeria. The numerical simulation reveals that sensitization of susceptible population, quarantined of exposed humans and isolation of infectious humans, the practice of best international safety measures among health care workers, establishment of more Lassa fever diagnostic centres and precautionary burial practices remains the best control measures in the dynamic transmission of Lassa fever.

Published in	Mathematical Modelling and Applications (Volume 5, Issue 2)
DOI	10.11648/j.mma.20200502.13
Page(s)	65-86
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), 2020. Published by Science Publishing Group

Keywords

Lassa Fever, Quarantine, Isolation, Basic Reproduction Number, Bifurcation, Endemic

References

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APA Style

Sambo Dachollom, Chinwendu Emilian Madubueze. (2020). Mathematical Model of the Transmission Dynamics of Lassa Fever Infection with Controls. Mathematical Modelling and Applications, 5(2), 65-86. https://doi.org/10.11648/j.mma.20200502.13

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ACS Style

Sambo Dachollom; Chinwendu Emilian Madubueze. Mathematical Model of the Transmission Dynamics of Lassa Fever Infection with Controls. Math. Model. Appl. 2020, 5(2), 65-86. doi: 10.11648/j.mma.20200502.13

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AMA Style

Sambo Dachollom, Chinwendu Emilian Madubueze. Mathematical Model of the Transmission Dynamics of Lassa Fever Infection with Controls. Math Model Appl. 2020;5(2):65-86. doi: 10.11648/j.mma.20200502.13

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@article{10.11648/j.mma.20200502.13,
  author = {Sambo Dachollom and Chinwendu Emilian Madubueze},
  title = {Mathematical Model of the Transmission Dynamics of Lassa Fever Infection with Controls},
  journal = {Mathematical Modelling and Applications},
  volume = {5},
  number = {2},
  pages = {65-86},
  doi = {10.11648/j.mma.20200502.13},
  url = {https://doi.org/10.11648/j.mma.20200502.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.mma.20200502.13},
  abstract = {After fifty years of documented history of Lassa fever in Nigeria, the country is still recording the highest record of outbreaks worldwide with Ebonyi state been the most affected state in the whole of Eastern Nigeria. This has activated interventional measures coming from both the government and scholars. The government through the Nigeria Centre for Disease Control (NCDC) and other sister agencies has activated an emergency response by establishing management centres which operates in association with specialist teaching hospitals in the endemic states, the scholars on the other hand are approaching the menace from two broad but complimentary aspects of sciences namely; the medical sciences and the natural sciences. The medical researchers focus more on developing reliable laboratory diagnosis, quicker methods of identifying the LASV and drug/vaccine formulation, the natural scientist (Bio-mathematicians) on the other hand focuses on modeling the dynamic transmission and controls among the various hosts of the LASV. This paper presents a mathematical model that tracks the transmission dynamics of Lassa fever in two different but complimentary host; human host and rat host. The model incorporates a death infectious human compartment capable of infecting susceptible population. The model analysis, basic reproduction number, existence of endemic equilibrium and bifurcation analysis was analyzed. It was established that the disease-free equilibrium point is stable when the reproduction number, R0<1 and the disease dies out. Numerical simulation was carried out with parametized data for Ebonyi State, Eastern Nigeria. The numerical simulation reveals that sensitization of susceptible population, quarantined of exposed humans and isolation of infectious humans, the practice of best international safety measures among health care workers, establishment of more Lassa fever diagnostic centres and precautionary burial practices remains the best control measures in the dynamic transmission of Lassa fever.},
 year = {2020}
}

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TY  - JOUR
T1  - Mathematical Model of the Transmission Dynamics of Lassa Fever Infection with Controls
AU  - Sambo Dachollom
AU  - Chinwendu Emilian Madubueze
Y1  - 2020/03/31
PY  - 2020
N1  - https://doi.org/10.11648/j.mma.20200502.13
DO  - 10.11648/j.mma.20200502.13
T2  - Mathematical Modelling and Applications
JF  - Mathematical Modelling and Applications
JO  - Mathematical Modelling and Applications
SP  - 65
EP  - 86
PB  - Science Publishing Group
SN  - 2575-1794
UR  - https://doi.org/10.11648/j.mma.20200502.13
AB  - After fifty years of documented history of Lassa fever in Nigeria, the country is still recording the highest record of outbreaks worldwide with Ebonyi state been the most affected state in the whole of Eastern Nigeria. This has activated interventional measures coming from both the government and scholars. The government through the Nigeria Centre for Disease Control (NCDC) and other sister agencies has activated an emergency response by establishing management centres which operates in association with specialist teaching hospitals in the endemic states, the scholars on the other hand are approaching the menace from two broad but complimentary aspects of sciences namely; the medical sciences and the natural sciences. The medical researchers focus more on developing reliable laboratory diagnosis, quicker methods of identifying the LASV and drug/vaccine formulation, the natural scientist (Bio-mathematicians) on the other hand focuses on modeling the dynamic transmission and controls among the various hosts of the LASV. This paper presents a mathematical model that tracks the transmission dynamics of Lassa fever in two different but complimentary host; human host and rat host. The model incorporates a death infectious human compartment capable of infecting susceptible population. The model analysis, basic reproduction number, existence of endemic equilibrium and bifurcation analysis was analyzed. It was established that the disease-free equilibrium point is stable when the reproduction number, R0<1 and the disease dies out. Numerical simulation was carried out with parametized data for Ebonyi State, Eastern Nigeria. The numerical simulation reveals that sensitization of susceptible population, quarantined of exposed humans and isolation of infectious humans, the practice of best international safety measures among health care workers, establishment of more Lassa fever diagnostic centres and precautionary burial practices remains the best control measures in the dynamic transmission of Lassa fever.
VL  - 5
IS  - 2
ER  -

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Author Information

Sambo Dachollom

Department of Mathematics/Statistics, School of Science, Akanu Ibiam Federal Polytechnic, Unwana, Afikpo, Nigeria
Chinwendu Emilian Madubueze

Department of Mathematics/Statistics/Computer Science, University of Agriculture Makurdi, Markurdi, Nigeria

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Sambo Dachollom, Chinwendu Emilian Madubueze. (2020). Mathematical Model of the Transmission Dynamics of Lassa Fever Infection with Controls. Mathematical Modelling and Applications, 5(2), 65-86. https://doi.org/10.11648/j.mma.20200502.13

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ACS Style

Sambo Dachollom; Chinwendu Emilian Madubueze. Mathematical Model of the Transmission Dynamics of Lassa Fever Infection with Controls. Math. Model. Appl. 2020, 5(2), 65-86. doi: 10.11648/j.mma.20200502.13

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AMA Style

Sambo Dachollom, Chinwendu Emilian Madubueze. Mathematical Model of the Transmission Dynamics of Lassa Fever Infection with Controls. Math Model Appl. 2020;5(2):65-86. doi: 10.11648/j.mma.20200502.13

Copy | Download

@article{10.11648/j.mma.20200502.13,
  author = {Sambo Dachollom and Chinwendu Emilian Madubueze},
  title = {Mathematical Model of the Transmission Dynamics of Lassa Fever Infection with Controls},
  journal = {Mathematical Modelling and Applications},
  volume = {5},
  number = {2},
  pages = {65-86},
  doi = {10.11648/j.mma.20200502.13},
  url = {https://doi.org/10.11648/j.mma.20200502.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.mma.20200502.13},
  abstract = {After fifty years of documented history of Lassa fever in Nigeria, the country is still recording the highest record of outbreaks worldwide with Ebonyi state been the most affected state in the whole of Eastern Nigeria. This has activated interventional measures coming from both the government and scholars. The government through the Nigeria Centre for Disease Control (NCDC) and other sister agencies has activated an emergency response by establishing management centres which operates in association with specialist teaching hospitals in the endemic states, the scholars on the other hand are approaching the menace from two broad but complimentary aspects of sciences namely; the medical sciences and the natural sciences. The medical researchers focus more on developing reliable laboratory diagnosis, quicker methods of identifying the LASV and drug/vaccine formulation, the natural scientist (Bio-mathematicians) on the other hand focuses on modeling the dynamic transmission and controls among the various hosts of the LASV. This paper presents a mathematical model that tracks the transmission dynamics of Lassa fever in two different but complimentary host; human host and rat host. The model incorporates a death infectious human compartment capable of infecting susceptible population. The model analysis, basic reproduction number, existence of endemic equilibrium and bifurcation analysis was analyzed. It was established that the disease-free equilibrium point is stable when the reproduction number, R0<1 and the disease dies out. Numerical simulation was carried out with parametized data for Ebonyi State, Eastern Nigeria. The numerical simulation reveals that sensitization of susceptible population, quarantined of exposed humans and isolation of infectious humans, the practice of best international safety measures among health care workers, establishment of more Lassa fever diagnostic centres and precautionary burial practices remains the best control measures in the dynamic transmission of Lassa fever.},
 year = {2020}
}

Copy | Download

TY  - JOUR
T1  - Mathematical Model of the Transmission Dynamics of Lassa Fever Infection with Controls
AU  - Sambo Dachollom
AU  - Chinwendu Emilian Madubueze
Y1  - 2020/03/31
PY  - 2020
N1  - https://doi.org/10.11648/j.mma.20200502.13
DO  - 10.11648/j.mma.20200502.13
T2  - Mathematical Modelling and Applications
JF  - Mathematical Modelling and Applications
JO  - Mathematical Modelling and Applications
SP  - 65
EP  - 86
PB  - Science Publishing Group
SN  - 2575-1794
UR  - https://doi.org/10.11648/j.mma.20200502.13
AB  - After fifty years of documented history of Lassa fever in Nigeria, the country is still recording the highest record of outbreaks worldwide with Ebonyi state been the most affected state in the whole of Eastern Nigeria. This has activated interventional measures coming from both the government and scholars. The government through the Nigeria Centre for Disease Control (NCDC) and other sister agencies has activated an emergency response by establishing management centres which operates in association with specialist teaching hospitals in the endemic states, the scholars on the other hand are approaching the menace from two broad but complimentary aspects of sciences namely; the medical sciences and the natural sciences. The medical researchers focus more on developing reliable laboratory diagnosis, quicker methods of identifying the LASV and drug/vaccine formulation, the natural scientist (Bio-mathematicians) on the other hand focuses on modeling the dynamic transmission and controls among the various hosts of the LASV. This paper presents a mathematical model that tracks the transmission dynamics of Lassa fever in two different but complimentary host; human host and rat host. The model incorporates a death infectious human compartment capable of infecting susceptible population. The model analysis, basic reproduction number, existence of endemic equilibrium and bifurcation analysis was analyzed. It was established that the disease-free equilibrium point is stable when the reproduction number, R0<1 and the disease dies out. Numerical simulation was carried out with parametized data for Ebonyi State, Eastern Nigeria. The numerical simulation reveals that sensitization of susceptible population, quarantined of exposed humans and isolation of infectious humans, the practice of best international safety measures among health care workers, establishment of more Lassa fever diagnostic centres and precautionary burial practices remains the best control measures in the dynamic transmission of Lassa fever.
VL  - 5
IS  - 2
ER  -

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