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All Journal JOURNAL OF APPLIED INFORMATICS AND COMPUTING
Lea-Irène, Milolo Kanumuambidi
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Computer Science & IT

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Analyzing and Controlling COVID-19 Using SageMath Toolbox: A case Study in the D.R. Congo MATONDO MANANGA, Herman; Patience, Pokuaa Gambrah; Marcial, Nguemfouo; Lea-Irène, Milolo Kanumuambidi; Peter, Kasende Mundeke; Benjamin, Consolant Majegeza
Journal of Applied Informatics and Computing Vol. 9 No. 4 (2025): August 2025
Publisher : Politeknik Negeri Batam

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30871/jaic.v9i4.9828

Abstract

Understanding the dynamics of an epidemic, to control, manage, or eradicate it, requires a wealth of knowledge in biology and mathematics. Computer tools also make significant contributions, thus, enabling us to carry out analyses and find approximate solutions, as well as run simulations to determine trends over time. In this study, we present a compartmental SVEIHAR model for the propagation and prevention of COVID-19. Using the computational and mathematical competencies of SageMath software (version 9.3) we simulate and evaluate the spread of the virus. Equilibria are calculated and adjusted according to the data. Again, the basic reproduction number, stabilities, and parameter sensitivities were studied. Our findings indicate that vaccination and cure rates are the most sensitive parameters, playing a crucial role in the fight against COVID-19. Again, the use of traditional plants, prayer, and meditation significantly decreases the value of the basic reproduction number. We also found that the disease will disappear after a time. Lastly, our study has shown the usefulness of SageMath software (version 9.3) which could be adapted to a variety of mathematical epidemic models.
Dynamics and Control of Human Papillomavirus (HPV) Infection Using an SVITR Compartmental Model MATONDO MANANGA, Herman; Lea-Irène, Milolo Kanumuambidi; Patience, Pokuaa Gambrah; Junior, Mukinayi Kanumuambidi; Marcial, Nguemfouo; Peter, Kasende Mundeke; Benjamin, Consolant Majegeza
Journal of Applied Informatics and Computing Vol. 10 No. 1 (2026): February 2026
Publisher : Politeknik Negeri Batam

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30871/jaic.v10i1.11876

Abstract

Human papillomavirus (HPV) remains a significant public health concern due to its high transmissibility and associated health risks. This study underscores the pivotal role of vaccination in reducing HPV transmission, while also highlighting the limitations of relying solely on vaccination for infection control. In this study, we present a deterministic compartmental model to investigate the transmission dynamics of Human Papillomavirus (HPV). The model stratifies the population into five compartments: susceptible individuals S(t), Vaccinated individuals V(t), HPV Infected individuals I(t), treated HPV-infected individuals T(t) and recovered individuals R(t). We establish the existence and uniqueness of the model solution and also examine the existence of disease-free and endemic equilibrium and analyze their stability properties. Numerical simulations were performed to explore the temporal evolution of the compartments, assess the sensitivity of key parameters, and investigated the behaviour of the basic reproduction number R_0. Our findings were that a comprehensive strategy, incorporating both preventive vaccination and therapeutic management, is essential for achieving sustainable control of HPV spread. Strengthening these measures, alongside reducing transmission through demographic interventions, offers the best way for long-term management of the infection. These results provide insights into the impact of vaccination and treatment strategies on HPV transmission and highlight critical factors for public health.
Co-Authors Benjamin, Consolant Majegeza Junior, Mukinayi Kanumuambidi Marcial, Nguemfouo MATONDO MANANGA, Herman Patience, Pokuaa Gambrah Peter, Kasende Mundeke