@article{10.11648/j.ajhr.20251305.14,
  author = {Alex Emmanuel Nti and Isaac Ampofi and Jehovah Baidoo},
  title = {Modelling the Spread of Zaire Ebola Virus Disease with Quarantine and Vaccination Interventions
},
  journal = {American Journal of Health Research},
  volume = {13},
  number = {5},
  pages = {281-293},
  doi = {10.11648/j.ajhr.20251305.14},
  url = {https://doi.org/10.11648/j.ajhr.20251305.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajhr.20251305.14},
  abstract = {One of the deadliest viral diseases in the world is Ebola virus disease. There are different types of Ebola virus with the Zaire Ebola Virus in DR Congo being very virulent resulting with a high disease induced rate. The resurgence of this disease makes it a necessity for a more robust modelling approach to understand its dynamics for proper policy implementation. In this work, a novel nonlinear mathematical model is developed using compartmental approach which is common in epidemiological modelling. The developed model strategically incorporated quarantine through contact tracing and mandatory vaccination of all quarantined individuals who are tested to be negative after the incubation period. In addition to this intervention strategy, a number of susceptible and recovered individuals with a waned immunity are also vaccinated. The developed model was assessed to be biologically feasible. The next generation matrix was used to determine the basic reproduction number while the Jacobian approach was used to linearise the system leading it into its stability analysis. Additionally, the 4th Order Runge Kutta iterative scheme was extended on the model for simulations purposes. The results show that the model has two fixed points. These are the disease-free equilibrium point where the disease will fail to exist within the population, and the endemic point at which the disease will continue to persist within the population. The model was examined to be stable with all eigenvalues being negative. The numerical results showed that the appearance of the disease in the population will cause a rise in the number of exposed, quarantined, and infected compartments. This will lead to a decline in the number of susceptible persons. The basic reproduction number was attained to be 0.09779 indicating that the Zaire Ebola Virus disease will fail to exist over time. It is therefore realised that the developed model with the incorporated interventions is an effective approach to control Zaire Ebola Virus if the strategies are efficiently implemented.
},
 year = {2025}
}

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TY  - JOUR
T1  - Modelling the Spread of Zaire Ebola Virus Disease with Quarantine and Vaccination Interventions

AU  - Alex Emmanuel Nti
AU  - Isaac Ampofi
AU  - Jehovah Baidoo
Y1  - 2025/10/30
PY  - 2025
N1  - https://doi.org/10.11648/j.ajhr.20251305.14
DO  - 10.11648/j.ajhr.20251305.14
T2  - American Journal of Health Research
JF  - American Journal of Health Research
JO  - American Journal of Health Research
SP  - 281
EP  - 293
PB  - Science Publishing Group
SN  - 2330-8796
UR  - https://doi.org/10.11648/j.ajhr.20251305.14
AB  - One of the deadliest viral diseases in the world is Ebola virus disease. There are different types of Ebola virus with the Zaire Ebola Virus in DR Congo being very virulent resulting with a high disease induced rate. The resurgence of this disease makes it a necessity for a more robust modelling approach to understand its dynamics for proper policy implementation. In this work, a novel nonlinear mathematical model is developed using compartmental approach which is common in epidemiological modelling. The developed model strategically incorporated quarantine through contact tracing and mandatory vaccination of all quarantined individuals who are tested to be negative after the incubation period. In addition to this intervention strategy, a number of susceptible and recovered individuals with a waned immunity are also vaccinated. The developed model was assessed to be biologically feasible. The next generation matrix was used to determine the basic reproduction number while the Jacobian approach was used to linearise the system leading it into its stability analysis. Additionally, the 4th Order Runge Kutta iterative scheme was extended on the model for simulations purposes. The results show that the model has two fixed points. These are the disease-free equilibrium point where the disease will fail to exist within the population, and the endemic point at which the disease will continue to persist within the population. The model was examined to be stable with all eigenvalues being negative. The numerical results showed that the appearance of the disease in the population will cause a rise in the number of exposed, quarantined, and infected compartments. This will lead to a decline in the number of susceptible persons. The basic reproduction number was attained to be 0.09779 indicating that the Zaire Ebola Virus disease will fail to exist over time. It is therefore realised that the developed model with the incorporated interventions is an effective approach to control Zaire Ebola Virus if the strategies are efficiently implemented.

VL  - 13
IS  - 5
ER  - 

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