School of Physical Sciences (SPS)

Permanent URI for this communityhttp://197.211.34.35:4000/handle/123456789/36

School of Physical Sciences (SPS)

Browse

Author: search.filters.author.Olayiwola, R. O.Has files: Yes

Search Results

Now showing 1 - 4 of 4
  • No Thumbnail Available
    Item
    Modelling the Impacts of Media Campaign and Double Dose Vaccination in Controlling COVID-19 in Nigeria
    (Alexandria Engineering Journal, 2023-01-15) Akinwande, N. I.; Somma, Samuel Abu; Olayiwola, R. O.; Ashezua, T. T.; Gweryina, R. I.; Oguntolu, F. A.
    Corona virus disease (COVID-19) is a lethal disease that poses public health challenge in both developed and developing countries of the world. Owing to the recent ongoing clinical use of COVID-19 vaccines and noncompliance to COVID-19 health protocols, this study presents a deterministic model with an optimal control problem for assessing the community-level impact of media campaign and double-dose vaccination on the transmission and control of COVID-19. Detailed analysis of the model shows that, using the Lyapunov function theory and the theory of centre manifold, the dynamics of the model is determined essentially by the control reproduction number (𝑅𝑚𝑣). Consequently, the model undergoes the phenomenon of forward bifurcation in the absence of the double dose vaccination effects, where the global disease-free equilibrium is obtained whenever 𝑅𝑚𝑣 ≤ 1. Numerical simulations of the model using data relevant to the transmission dynamics of the disease in Nigeria, show that, certain values of the basic reproduction number ((𝑅0 ≥ 7)) may not prevent the spread of the pandemic even if 100% media compliance is achieved. Nevertheless, with assumed 75% (at 𝑅0 = 4)) media efficacy of double dose vaccination, the community herd immunity to the disease can be attained. Furthermore, Pontryagin’s maximum principle was used for the analysis of the optimized model by which necessary conditions for optimal controls were obtained. In addition, the optimal simulation results reveal that, for situations where the cost of implementing the controls (media campaign and double dose vaccination) considered in this study is low, allocating resources to media campaign-only strategy is more effective than allocating them to a firstdose vaccination strategy. More so, as expected, the combined media campaign-double dose vaccination strategy yields a higher population-level impact than the media campaign-only strategy, double-dose vaccination strategy or media campaign-first dose vaccination strategy.
  • No Thumbnail Available
    Item
    Analysis of Fire Outbreak in Coupled Atmospheric-Wildfire.
    (Ibrahim Badamasi Babangida University, Lapai, Nigeria, 2021-06-20) Zhiri, A. B.; Olayiwola, R. O.; Khadeejah James Audu; Adeloye, T. O.; Gupa, M. I
    Forest fire outbreak has become alarming day by day as it is a common occurrence in most parts of the world and it cause a lot of havoc to biodiversity as well as to the local ecology. In this paper, a partial differential equations (PDE) governing wildland fire outbreak is presented. We obtained the approximate analytical solution of the model using perturbation method, direct integration and eigenfunction expansion technique, which clearly depicts the influence of the parameters involved in the system. The effect of change in parameters such as Radiation number, Peclet energy number, Peclet mass number, and Equilibrium wind velocity on oxygen concentration are shown graphically and discussed. The results obtained revealed that as Radiation number and Peclet energy number increases, oxygen concentration depreciates. While increasing Peclet mass number, and Equilibrium wind velocity enhanced oxygen concentration.
  • No Thumbnail Available
    Item
    A Global Asymptotic Stability of COVID-19 Diabetes Complication Free Equilibrium
    (Journal of Science, Technology, Mathematics and Education (JOSTMED), 2024-03-25) Yusuf, A,; Akinwande, N. I.; Olayiwola, R. O.; Kuta, F. A.; Somma, Samuel Abu
    In this paper, a Mathematical modelling of COVID-19 incorporating the comorbidity of Diabetes was established base on the accompanying assumptions, a global asymptotic of the same model was developed by applying the theorem of Castillo-Chavez by fixing a point to be globally asymptotic stable equilibrium of the system, provided that and the two set conditions are satisfied. It is very clear that so the conditions are not met. Hence, may not be globally asymptotically stable when .
  • No Thumbnail Available
    Item
    A Mathematical Study of Contaminant Transport with First-order Decay and Time-dependent Source Concentration in an Aquifer
    (Universal Journal of Applied Mathematics, 2013-11-05) Olayiwola, R. O.; Jimoh, O. R.; Yusuf, A.; Abubakar, Samuel
    A mathematical model describing the transport of a conservative contaminant through a homogeneous finite aquifer under transient flow is presented. We assume the aquifer is subjected to contamination due to the time-dependent source concentration. Both the sinusoidally varying and exponentially decreasing forms of seepage velocity are considered for the purposes of studying seasonal variation problems. We use the parameter-expanding method and seek direct eigenfunctions expansion technique to obtain analytical solution of the model. The results are presented graphically and discussed. It is discovered that the contaminant concentration decreases along temporal and spatial directions as initial dispersion coefficient increases and initial groundwater velocity decreases. This concentration decreases as time increases and differs at each point in the domain.