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All Journal African Multidisciplinary Journal of Sciences and Artificial Intelligence Open Access DRIVERset Kwaghe International Journal of Sciences and Technology Open Access DRIVERset
Ebelechukwu, Okorie Charity
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Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Environmental Science Law, Crime, Criminology & Criminal Justice Materials Science & Nanotechnology Social Sciences

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Mathematical Model for Prevention and Control of Cholera Disease in Nigeria Ebelechukwu, Okorie Charity; Abraham, Zando Asim; E, Ochigbo Josephine
Kwaghe International Journal of Sciences and Technology Vol 1 No 1 (2024): Kwaghe International Journal of Sciences and Technology
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/kijst.v1i1.3396

Abstract

In this research work, we modified an existing mathematical model that can accommodate the gaps we discovered from the existing model. The modification centered on addition of a compartment called Isolation compartment into the existing model. The isolation is added as part of the control measures. This is one of the factors that make eradication of cholera impossible. We checked for the existence and uniqueness of the modified model and observed that the modified equations are unique and they exist. Maple 2023 and R studio software were used in carrying out the analysis. The disease-free equilibrium (DFE) state of the model was determined and used to compute the basic reproduction number R0, as a threshold for effective disease management. The results from stability analysis for the disease-free equilibrium (DFEs) shows that it is locally asymptotically stable whenever the basic reproduction number is less than unity (R0< 1). The result obtained from sensitivity index of R0 shows that the control parameters (isolation) of susceptible individual is crucial parameter to cholera management. It is recommended that isolation and awareness should be given prompt response as strategies in eradicating cholera disease so as to avoid prolonged illness and death.
Investigation of Positivity, Existence and Uniqueness of a Modified COVID-19 Model Ebelechukwu, Okorie Charity; Yusuf, Haruna; Danladi, Hina Aliyu
Kwaghe International Journal of Sciences and Technology Vol 1 No 1 (2024): Kwaghe International Journal of Sciences and Technology
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/kijst.v1i1.3597

Abstract

Corona virus disease is the most dreaded infectious disease all over the whole world. The outburst of the disease made many researchers to step up with research so as to find solution of eradication of the disease. Jummy et al (2021) developed a compartmental differential equation models which they used in studying direct and indirect transmission of COVID-19.We discovered that their model did not consider quarantine, vaccination and partial immunity. We then incorporated quarantine, vaccination and partial immunity into their models to come up with a modified version of Jummy et al model equations. In this research work, we investigated the positivity of the solution of the modified model, the existence and the uniqueness of the solution. The essence of doing these is to be sure that our models can conform to reality in solving the problem of eradication of COVID-19. We discovered that the solution exist, bounded, unique and positive.
Co-Authors Abdulhamid, Bala Ma’aji Abraham, Zando Asim Chinonye, Nwoke Francisca Danladi, Hina Aliyu E, Ochigbo Josephine Maina, John Blessing Yusuf, Haruna