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All Journal African Multidisciplinary Journal of Sciences and Artificial Intelligence Kwaghe International Journal of Sciences and Technology
Okorie Charity Ebelechukwu
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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 Modelling of Crime Rate and Prison Population in Nigeria Okorie Charity Ebelechukwu; John Blessing Maina; Nwoke Francisca Chinonye
African Multidisciplinary Journal of Sciences and Artificial Intelligence Vol 1 No 1 (2024): African Multidisciplinary Journal of Sciences and Artificial Intelligence
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/amjsai.v1i1.3389

Abstract

Human beings and society are susceptible to criminality and so criminality can be likened to an oil that is capable of staining a very white garment when it comes in contact with the white garment. That is why no society can claim to be completely free from crime. The types of criminal behavior depend on the social and economic development of a given society. It is therefore not unexpected that a society at a low level of development tends to experience an upsurge in the rate of violent crimes such as armed robbery, politically motivated killings, the use of illegal weapons, ethnic and religious clashes, and the like. To examine the relationship between the crime rate and the number of prison inmates in Nigeria. Secondary data was used in this study. The data were on various crimes committed within the period of one year and the data were collected from the National Bureau of Statistics. Multiple linear regression modelswere used to carry out the analysis. The result it shows that the top five states with the highest number of criminals and prison populations are Lagos, Rivers, Delta, Abuja, and Kano States.
Appication of Numerical Simulations to the Study of Spread and Control of COVID-19 in Nigeria Okorie Charity Ebelechukwu; Haruna Yusuf; Bala Ma’aji Abdulhamid; Hina Aliyu Danladi
African Multidisciplinary Journal of Sciences and Artificial Intelligence Vol 1 No 1 (2024): African Multidisciplinary Journal of Sciences and Artificial Intelligence
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/amjsai.v1i1.3550

Abstract

Corona virus is a disease that started by putting human being into the state of fear. It is the most dreaded disease that created an indelible mark that all the countries in the world cannot forget in a hurry. The emergency of COVID-19 motivated the researchers into carrying out research work so as to see if there is a way to control its spread thereby preventing the incessant death associated with COVID-19. From the literatures, we observed that some areas have been covered but we observed that quarantine, vaccination and partial immunity were not covered. This prompted this research. The aim is to determine the impact of vaccination and partial immunity on the transmission dynamics of COVID-19. To achieve this, we carried out numerical simulation so as to find out if quarantine, vaccination and partial immunity have impact in the spread and control of COVID-19, using the data we obtained from National Centre for Disease Control, World Meters and from Literatures The analysis was carried with the aid of Maple 2023 software. The results show that quarantine, vaccination and partial immunity has impact in the spread and control of COVID-19. We therefore recommend that incomplete doses of the vaccines should be avoided for effective control of the disease. Health workers should ascertain the health condition of a patient before discharging such patients so as to prevent partial immunity.
Mathematical Model for Prevention and Control of Cholera Disease in Nigeria Okorie Charity Ebelechukwu; Zando Asim Abraham; Ochigbo Josephine E
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 Okorie Charity Ebelechukwu; Haruna Yusuf; Hina Aliyu Danladi
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 Bala Ma’aji Abdulhamid Haruna Yusuf Hina Aliyu Danladi John Blessing Maina Nwoke Francisca Chinonye Ochigbo Josephine E Zando Asim Abraham