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All Journal Asian Journal of Science, Technology, Engineering, and Art African Journal of Sciences and Traditional Medicine Open Access DRIVERset
A, Olopade I.
Unknown Affiliation
Arts Chemistry Computer Science & IT Engineering Health Professions Immunology & microbiology Nursing Public Health Social Sciences

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Modeling the Impact of Vector Reduction and Natural Recovery on the Transmission Dynamics of Malaria K, Adamu A.; O, Ajor E.; A, Olopade I.; M, Bulus S.; W, Barde; D, Yavalah
Asian Journal of Science, Technology, Engineering, and Art Vol 3 No 3 (2025): Asian Journal of Science, Technology, Engineering, and Art
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/ajstea.v3i3.5396

Abstract

A mathematical modeling of the impact of vector reduction and natural recovery on the transmission dynamics of malaria was carried out. We present a deterministic model for the transmission dynamics of malaria in which natural recovery and vector reduction were both important for the disease management. We estimated the basic reproduction number using the next generation matrix method and investigated the local stability of the disease free equilibrium points of the model. Sensitivity analysis and Numerical simulations of the basic reproduction number with respect to the model parameters were carried out. Our result shows that effective vector reduction and increased natural recovery will reduce the spread of malaria.
Analyzing the Mathematical Impact of Vaccination in Mitigating Rift Valley Fever Spread among Livestock A, Olopade I.; O, Akinwumi T.; O, Ajao S.; T, Mohammed I.; O, Sangoniyi S.; A, Adeniran G.; O, Bello B.; O, Adewale S.
African Journal of Sciences and Traditional Medicine Vol 1 No 1 (2024): African Journal of Sciences and Traditional Medicine
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/ajstm.v1i1.3361

Abstract

The persistence mechanisms of Rift Valley fever (RVF), a zoonotic arboviral hemorrhagic fever, are not fully understood and need thorough quantification at both local and broader geographical scales. Rift Valley Fever (RVF) is a viral zoonosis primarily transmitted by mosquitoes, predominantly affecting livestock with the potential to impact humans. The virus has the capacity for rapid spread, posing a potential epidemic threat to both human and the livestock. The transmission dynamics of Rift Valley Fever (RVF) involving mosquitoes and livestock are investigated and analyzed through a compartmental model, with vaccination considered as a control measure. The basic reproduction number ( ) is calculated using the next-generation matrix, indicating that the disease-free equilibrium state is locally asymptotically stable when ( ). This suggests that Rift Valley Fever could be controlled in a livestock population where the reproduction number is below 1, but it becomes endemic when ( ). Sensitivity analysis identifies key parameters for consideration by livestock policy makers and veterinary workers. Numerical simulations offer insightful results to delve deeper into the disease dynamics, considering the efficacy of vaccination and other control measures introduced in the model.
Analyzing the Mathematical Impact of Vaccination in Mitigating Rift Valley Fever Spread among Livestock A, Olopade I.; O, Akinwumi T.; O, Ajao S.; T, Mohammed I.; O, Sangoniyi S.; A, Adeniran G.; O, Bello B.; O, Adewale S.
African Journal of Sciences and Traditional Medicine Vol 1 No 1 (2024): African Journal of Sciences and Traditional Medicine
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/ajstm.v1i1.3361

Abstract

The persistence mechanisms of Rift Valley fever (RVF), a zoonotic arboviral hemorrhagic fever, are not fully understood and need thorough quantification at both local and broader geographical scales. Rift Valley Fever (RVF) is a viral zoonosis primarily transmitted by mosquitoes, predominantly affecting livestock with the potential to impact humans. The virus has the capacity for rapid spread, posing a potential epidemic threat to both human and the livestock. The transmission dynamics of Rift Valley Fever (RVF) involving mosquitoes and livestock are investigated and analyzed through a compartmental model, with vaccination considered as a control measure. The basic reproduction number ( ) is calculated using the next-generation matrix, indicating that the disease-free equilibrium state is locally asymptotically stable when ( ). This suggests that Rift Valley Fever could be controlled in a livestock population where the reproduction number is below 1, but it becomes endemic when ( ). Sensitivity analysis identifies key parameters for consideration by livestock policy makers and veterinary workers. Numerical simulations offer insightful results to delve deeper into the disease dynamics, considering the efficacy of vaccination and other control measures introduced in the model.
Co-Authors A, Adeniran G. D, Yavalah K, Adamu A. M, Bulus S. O, Adewale S. O, Ajao S. O, Ajor E. O, Akinwumi T. O, Bello B. O, Sangoniyi S. T, Mohammed I. W, Barde