Papers by Oluwatayo Ogunmiloro
Journal of Physics: Conference Series, 2022
This research presents Exponential – Polynomial Single Step Method (EPSSM), which uses non-linear... more This research presents Exponential – Polynomial Single Step Method (EPSSM), which uses non-linear polynomial interpolating function to solve Singularly Perturbed Delay Differential Equations (SPPDDEs). The stability polynomial of the method is obtained. The Local Grid Search Algorithm termed LGSA is applied in determining the stability region. The efficiency of these methods is compared with the other two numerical methods, namely Runge-Kutta Method (RKM) and Rational Single Step Method (RSM) through two examples of Singularly Perturbed Delay Differential Equations (SPPDDEs).
In this paper, the dynamic response of two identical parallel non-mindlin (i.e., not taking int... more In this paper, the dynamic response of two identical parallel non-mindlin (i.e., not taking into account the effect of shear deformation and rotatory inertia) plates which are elastically connected and subjected to a constant moving load is considered. The fourth order coupled partial differential governing equations is formulated and solved, using an approximate analytical method by assuming; firstly, a series solution later on treating the resulting coupled second order ordinary differential equations with an asymptotic method of Struble. The differential transform method, being a semi-analytical technique, is applied to the reduced coupled second order ordinary differential equations, to get a non-oscillatory series solution. An after treatment technique, comprising of the Laplace transform and Pade approximation techniques, is finally used via MAPLE ODE solver to make the series solution oscillatory. The dynamic deflections of the upper and lower plates are presented in analyt...
Mathematical modelling and control, 2022
Mathematica Applicanda
This paper involves the formulation of a non-linear optimal control model framework depicting fas... more This paper involves the formulation of a non-linear optimal control model framework depicting fascioliasis disease transmission in the population of domestic ruminants only. The optimal control analysis is studied to investigate the effect of time-dependent preventive controls of treatment of worms in infected animals c 1 (t), hygiene compliance of separation/distancing of susceptible animals from infected environment sources c 2 (t) and sanitation of the environment c 3 (t). The positivity and boundedness of the model solutions are investigated, while the optimal control model solutions are shown to exist. The optimal control model is characterized using the Pontryagins Maximum Principle (PMP), which leads to the derivation of the optimality system. The optimal control model is solved using the forward-backward Runge-Kutta fourth order (RK4) sweep scheme via computational software MATLAB, where simulations reveal that each control is capable of reducing fascioliasis infection, but the combined implementation of the three control strategies are more effective in stemming the high rate of prevalence of the disease in the domestic animal population. Further simulations show that the preventive control profiles of c 1 (t), c 2 (t) and c 3 (t) are sustained for few months before reducing gradually to zero in the final time of 12 months.
Mathematica Applicanda, 2022
This paper involves the formulation of a non-linear optimal control model framework depicting fas... more This paper involves the formulation of a non-linear optimal control model framework depicting fascioliasis disease transmission in the population of domestic ruminants only. The optimal control analysis is studied to investigate the effect of time-dependent preventive controls of treatment of worms in infected animals c 1 (t), hygiene compliance of separation/distancing of susceptible animals from infected environment sources c 2 (t) and sanitation of the environment c 3 (t). The positivity and boundedness of the model solutions are investigated, while the optimal control model solutions are shown to exist. The optimal control model is characterized using the Pontryagins Maximum Principle (PMP), which leads to the derivation of the optimality system. The optimal control model is solved using the forward-backward Runge-Kutta fourth order (RK4) sweep scheme via computational software MATLAB, where simulations reveal that each control is capable of reducing fascioliasis infection, but the combined implementation of the three control strategies are more effective in stemming the high rate of prevalence of the disease in the domestic animal population. Further simulations show that the preventive control profiles of c 1 (t), c 2 (t) and c 3 (t) are sustained for few months before reducing gradually to zero in the final time of 12 months.
International Journal of Modern Physics C
In this paper, a model describing the transmission of Human Papilloma Virus (HPV) in a bisexually... more In this paper, a model describing the transmission of Human Papilloma Virus (HPV) in a bisexually active human host community is presented. We analyze the model in a feasible region where the model is realistic in the sense of HPV transmission. Since the trivial equilibrium does not exist, we obtain the HPV-free equilibrium solutions and make use of the next generation matrix method to compute the basic reproduction number [Formula: see text], which governs HPV extinction and persistence whenever it is less or greater than unity, respectively. We perform the sensitivity analysis of the model parameters of [Formula: see text] as to HPV prevalence and found that parameters [Formula: see text] and [Formula: see text], which are the effective HPV transmission and progression to recovery parameters, are positively sensitive to [Formula: see text]. In order to minimize the increasing effect of [Formula: see text] as regards the positive sensitive parameters, we re-construct the model via ...
Mathematics and Statistics, 2020
This work concerns a deterministic and stochastic model describing the transmission of typhoid fe... more This work concerns a deterministic and stochastic model describing the transmission of typhoid fever infection in human host community, where the vaccination of susceptible births and immigrants as well as screening and treatment of carriers and infected individuals are considered in the model build-up. The well-posedness and computation of the basic reproduction number of the deterministic model are obtained and analysed. The deterministic model is further transformed into a stochastic model, where the drift and diffusion parts of the model are obtained, and the existence and uniqueness of the stochastic model are discussed. Numerical simulations involving the model parameters of showed that vaccination of susceptible births and influx of immigrants as well as screening and treatment of carriers and infected humans are effective in bringing the threshold (≈ 0.7944) below 1, and the results of other simulations suggest more health policies are to be implemented, as low may not be guaranteed because vaccination wanes over time. In addition, the numerical simulations of the stochastic model equations describing the sub-population of human individuals in the total human host community are carried out using the computational software MATLAB.
International Journal of Modern Physics C, 2020
In this paper, a mathematical model describing the transmission dynamics of onchocerciasis with d... more In this paper, a mathematical model describing the transmission dynamics of onchocerciasis with distributed delays in infection incubation and recovery in humans and blackfly host population is formulated. We showed that the delayed model is positively invariant and bounded. Also, we obtain the onchocerciasis-free and endemic steady-state solutions as well as the basic reproduction number [Formula: see text] of the delayed onchocerciasis model. We found that the delayed onchocerciasis model is locally asymptotically stable whenever [Formula: see text]. The findings suggest that, for [Formula: see text] to be less than unity, effective use of ivermectin drug for treatment, distribution of treated nets and cloths, etc., is necessary for the minimization and possible elimination of onchocerciasis infection.
International Journal of Modeling, Simulation, and Scientific Computing, 2020
A mathematical model describing the epidemic interactions between humans and blackflies in the tr... more A mathematical model describing the epidemic interactions between humans and blackflies in the transmission of onchocerciasis is considered. In this model, the onchocerciasis infected human individuals are divided into two classes of infected humans with high and low microfilarial output incorporating saturated treatment function, which caters for high saturation of onchocerciasis disease. We analyze the model feasible region and obtain the basic reproduction number [Formula: see text] using the next generation matrix method. Also, we obtain the onchocerciasis-free and onchocerciasis endemic equilibrium solutions and show that if [Formula: see text] is less than unity, the onchocerciasis-free equilibrium is locally and globally asymptotically stable. Furthermore, we employed a Lyapunov function to analyze the global asymptotic stability of the onchocerciasis — endemic equilibrium whenever [Formula: see text] is greater than unity. In addition, data on mass drug distribution of iverm...
MALAYSIAN JOURNAL OF COMPUTING, 2019
In this article, a Susceptible – Vaccinated – Infected – Recovered (SVIR) model is formulated and... more In this article, a Susceptible – Vaccinated – Infected – Recovered (SVIR) model is formulated and analysed using comprehensive mathematical techniques. The vaccination class is primarily considered as means of controlling the disease spread. The basic reproduction number (Ro) of the model is obtained, where it was shown that if Ro<1, at the model equilibrium solutions when infection is present and absent, the infection- free equilibrium is both locally and globally asymptotically stable. Also, if Ro>1, the endemic equilibrium solution is locally asymptotically stable. Furthermore, the analytical solution of the model was carried out using the Differential Transform Method (DTM) and Runge - Kutta fourth-order method. Numerical simulations were carried out to validate the theoretical results.
e-Journal of Analysis and Applied Mathematics, 2019
In this paper, a mathematical nonlinear model system of equations describing the dynamics of the ... more In this paper, a mathematical nonlinear model system of equations describing the dynamics of the co-interaction between malaria and filariasis epidemic affecting the susceptible host population of pregnant women in the tropics is formulated. The basic reproduction number Rmf of the coepidemic model is obtained, and we investigated that it is the threshold parameter between the extinction and persistence of the coepidemic disease. If Rmf < 1, then the disease-free steady state is both locally and globally asymptotically stable resulting in the disease dying out of the host. Also, if Rmf > 1, the disease lingers on. The center manifold theory is used to show that the unique endemic equilibrium is locally asymptotically stable. However, variations in the parameter values involved in the model build up will bring about appropriate control measures to curtail the spread of the coepidemic disease. Numerical simulations are carried out to confirm the theoretical results.
Biometrical Letters, 2019
Summary Coinfection by Plasmodium species and Toxoplasma gondii in humans is widespread, with its... more Summary Coinfection by Plasmodium species and Toxoplasma gondii in humans is widespread, with its endemic impact mostly felt in the tropics. A mathematical model is formulated as a first-order nonlinear system of ordinary differential equations to describe the coinfection dynamics of malaria-toxoplasmosis in the mainly human and feline susceptible host population in tropical regions. Comprehensive mathematical techniques are applied to show that the model system is bounded, positive and realistic in an epidemiological sense. Also, the basic reproduction number (Romt ) of the coinfection model is obtained. It is shown that if Romt < 1, the model system at its malaria-toxoplasmosis absent equilibrium is both locally and globally asymptotically stable. The impact of toxoplasmosis and its treatment on malaria, and vice versa, is studied and analyzed. Sensitivity analysis was performed to investigate the impact of the model system parameters on the reproduction number of the transmiss...
Journal of Applied Mathematics and Physics, 2019
In this paper, we used an interpolation function with strong trigonometric components to derive a... more In this paper, we used an interpolation function with strong trigonometric components to derive a numerical integrator that can be used for solving first order initial value problems in ordinary differential equation. This numerical integrator has been tested for desirable qualities like stability, convergence and consistency. The discrete models have been used for a numerical experiment which makes us conclude that the schemes are suitable for the solution of first order ordinary differential equation.
Journal of Physics: Conference Series, 2021
In this paper, a deterministic optimal control problem involving a Susceptible - Vaccinated - Inf... more In this paper, a deterministic optimal control problem involving a Susceptible - Vaccinated - Infected - Recovered (SVIR) epidemic model is considered. The optimal control problem is characterized using the Pontryagin’s maximum principle involving three control strategies namely, social mobilization, screening and sanitation. The derived optimality system is numerically solved using the forward - backward Runge - Kutta fourth order method via the computational software matlab. The numerical simulations depict that each of the control strategy has its significance in minimizing the spread of diseases, but the optimal combination of these controls are more effective in stemming the emergence and spread of an epidemic.
Mathematical Methods in the Applied Sciences
International Journal of Applied and Computational Mathematics
Journal of Physics: Conference Series
Journal of Interdisciplinary Mathematics
Journal of Physics: Conference Series
Journal of Physics: Conference Series
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Papers by Oluwatayo Ogunmiloro