TY  - JOUR
AU  - Ahmad, Imtiaz
AU  - Ullah, Wali
AU  - Islam, Saeed
AU  - Ali, Nigar
AU  - Younas, Hazrat
AU  - Khan, Muhammad Ijaz
PY  - 2025
DA  - 2025/07/27
TI  - Bifurcation and Stability Analysis of Transmission Dynamics of Ebola Virus Using Seirvh Model
JO  - ICCK Journal of Applied Mathematics
T2  - ICCK Journal of Applied Mathematics
JF  - ICCK Journal of Applied Mathematics
VL  - 1
IS  - 2
SP  - 41
EP  - 51
DO  - 10.62762/JAM.2025.550087
UR  - https://www.icck.org/article/abs/JAM.2025.550087
KW  - EBOLA
KW  - stability analysis
KW  - sensitivity analysis
KW  - bifurcation analysis
KW  - RK-4 method
AB  - This study presents a mathematical framework to analyze the transmission dynamics of the Ebola Virus Disease (EVD) using an extended SEIRVH model. The model incorporates vaccinated and hospitalized compartments, addressing critical factors such as vaccination efficacy, healthcare interventions, and natural disease progression. Differential equations describe the transitions between six population compartments. The study evaluates model stability and bifurcation through well-posedness, positivity, and boundedness analyzes, ensuring realistic and biologically valid solutions. The basic reproduction number, R0, derived from the next generation matrix, serves as a threshold for outbreak control. Local and global stability analyzes of disease-free and endemic equilibria reveal critical insights into epidemic thresholds and long-term dynamics. Furthermore, sensitivity analysis highlights key parameters that influence R0, emphasizing the importance of vaccination and hospitalization in mitigating EVD outbreaks. Numerical simulations validate theoretical findings, underscoring the model's utility in informing effective public health strategies, such as vaccination campaigns and hospitalization measures, for controlling EVD transmission. This research provides a robust analytical and computational tool for understanding and managing the spread of Ebola and similar infectious diseases.
SN  - 3068-5656
PB  - Institute of Central Computation and Knowledge
LA  - English
ER  - 

@article{Ahmad2025Bifurcatio,
  author = {Imtiaz Ahmad and Wali Ullah and Saeed Islam and Nigar Ali and Hazrat Younas and Muhammad Ijaz Khan},
  title = {Bifurcation and Stability Analysis of Transmission Dynamics of Ebola Virus Using Seirvh Model},
  journal = {ICCK Journal of Applied Mathematics},
  year = {2025},
  volume = {1},
  number = {2},
  pages = {41-51},
  doi = {10.62762/JAM.2025.550087},
  url = {https://www.icck.org/article/abs/JAM.2025.550087},
  abstract = {This study presents a mathematical framework to analyze the transmission dynamics of the Ebola Virus Disease (EVD) using an extended SEIRVH model. The model incorporates vaccinated and hospitalized compartments, addressing critical factors such as vaccination efficacy, healthcare interventions, and natural disease progression. Differential equations describe the transitions between six population compartments. The study evaluates model stability and bifurcation through well-posedness, positivity, and boundedness analyzes, ensuring realistic and biologically valid solutions. The basic reproduction number, R0, derived from the next generation matrix, serves as a threshold for outbreak control. Local and global stability analyzes of disease-free and endemic equilibria reveal critical insights into epidemic thresholds and long-term dynamics. Furthermore, sensitivity analysis highlights key parameters that influence R0, emphasizing the importance of vaccination and hospitalization in mitigating EVD outbreaks. Numerical simulations validate theoretical findings, underscoring the model's utility in informing effective public health strategies, such as vaccination campaigns and hospitalization measures, for controlling EVD transmission. This research provides a robust analytical and computational tool for understanding and managing the spread of Ebola and similar infectious diseases.},
  keywords = {EBOLA, stability analysis, sensitivity analysis, bifurcation analysis, RK-4 method},
  issn = {3068-5656},
  publisher = {Institute of Central Computation and Knowledge}
}