Browsing by Author "Oduwole, H.K."

Now showing 1 - 7 of 7
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    Mathematical Model to Determine Motion of Infinitesimal Mass When Primaries Are both Radiating and Triaxial
    (Department of Computer Science, Nasarawa State University Keffi, 2021-09-09) Emmanuel, Atanyi Yusuf; Oduwole, H.K.; Aimufua, Gilbert Imuetinyan Osaze; Abam, Ayemi O.
    This model has examined the motion of an infinitesimal particle when both primaries are radiating and triaxial in the framework of the Circular Restricted Three Body Problem (CR3BP). It was observed that the equations of motion were affected by perturbing forces (triaxiality and radiation pressures) of the primary bodies. Analytically, the locations of equilibrium points were obtained and applied to the binary systems Kruger 60 (AB) and Achird to obtain the numerical results with the help ofMathLab softivare. Numerical investigations reveal that locations of equilibrium points of this problem have been determined and the effect of increasing triaxiality on the position of equilibrium point were obtained with graphical results. It reveal that the infinitesimal mass moves in the direction of the bigger primary towards the line joining the primary bodies. The linear stability of the equilibrium points has also been examined and a numerical solution of the analytical result was applied to the binan/ stars Kruger 60. It zvas found that the triangidar points are unstable which means that the instability exist as a result of the presence of perturbation forces (Radiation and Triaxiality). \
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    Mathematical prototype for the control of malaria by interrupting the life cycle of the Anopheles mosquito through the use of biological enemies in the larva, pupa and adult stages
    (Department of Mathematics, Nasarawa State University Keffi, 2023-01-19) Emmanuel, Atanyi Yusuf; Oduwole, H.K.; Umar, Mallam Abdulkarim
    Mathematical prototype to fight malaria by interrupting the life cycle of the Anopheles mosquito through the use of biological enemies in the larval, pupal and adult stages has been derived to eradicate larvae, pupae and adult Anopheles mosquitoes using natural predators. The new model is a control flowchart of the predator-prey interaction model in the mosquito life cycle, considering an open population of mosquitoes and predators. These models provide a osolid understanding of malaria control in our environment, especially when models are based on vector population ecology; and a solid understanding of transmission-relevant parameters and variables Model equations were derived using parameters and variables from the model Stability analysis of free equilibrium states was analyzed simultaneously using equilibrium point, Maple software, elimination and substitution methods. The number of larvae that pupate is almost zero, and the number ofp upae that turn into adults is minimal, and the number of adults that'escape to the vector stage is negligible, which means that thd life cycle could be disrupted at larval, pupal and adult stages with the introduction of natural enemies, with the natural implication 'there will be no adult Anopheles mosquito for transmission of the malaria. The contribution of this research to knowledge is to produce the model or the mathematical formula and the biologically sound methods that will contribute to the eradication of the adult Anopheles mosquito, which will also lead to° the eradication of malaria in our society.
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    Modelling the Effects of Three Natural Predators on the Aquactic and Adult Stages of Anopheles Mosquitoes in the Control of Malaria Transmission
    (Department of Mathematics, Nasarawa State University Keffi, 2023-01-16) Emmanuel, Atanyi Yusuf; Oduwole, H.K.; Umar, Mallam Abdulkarim
    Modelling the effects of three natural predators on the aquatic and adult anopheles’ mosquitoes in the control of malaria transmission was derived aimed’at "eradicating anopheles’ larva, pupa and adult anopheles' mosquito by introduction of natural predators ucopepods, tadpoles and purple martins” so that there should not be anopheles ’ adult mosquito for malaria transmission in our society. The new model is a control flow diagram of predator-prey interaction model in mosquito life-cycle. The population is sub-divided based on mosquito life- cycle and natural predators. Under a mosquito life-cycle, the population is divided into four compartments', * Egg compartment E(t), Larva compartment L(t), Pupa compartment P(t), and Adult compartment A(t), and natural predators, it is divided into three compartments’, namely; Copepods CP(t), Tadpoles TP(t) and Purple martins PM (t). From the stability analysis of steady state we observed that the model free equilibrium state is stable, implies that the equilibrium point or steady state is stable and the stability of the model (1) - (10) means, there will not be anopheles adult mosquito ip our society for malaria transmission and from the idea of Beltrami’s conditions and Diekmann condition, we observed that the Determinant of the Jacobian matrix is greater than zero {Det(J) > 0}, Trace of the Jacobian matrix is less than zero {Tr(j) < 0} and R0 < 1 which implies that the model disease free equilibrium state is stable. Hence the number of larva that transform to pupa ♦ is almost zero and the number of pupa that develop to adult is minimal and number of adult that escape to vector stage are inconsequential and microscopic and that means the life-cycle could be broken at the larva, pupa, and adult stages with the introduction of natural predators, with the natural implication there will not be anopheles adult mosquito for malaria transmission and we also use maple for symbolical and numerical solution and presented the results graphically.
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    On Cardinality in Finite Semigroup of Full Order-Preserving ContractionsOn Cardinality in Finite Semigroup of Full Order-Preserving Contractions
    (Department of Mathematics, Nasarawa State University Keffi, 2022-04-04) Habibu, Shamsuddeen; Umar, Mallam Abdulkarim; Oduwole, H.K.; Ibrahim, Yusuf Kakangi; Braimoh, Jaiyeola Olorunshola
    In this work, we considered the semigroup OCTn consisting of all mappings of a finite set Xn = {1, 2, 3,---- , n} which are both order - preserving and contraction, that is mapping a •• Xn -» Xn such that, for all x ,y E Xnfx- x a
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    An Optimal Control Analysis of Malaria by Coinfection Model
    (Department of Mathematics, Nasarawa State University Keffi, 2022-07-03) Ashafa, S.U.; Oduwole, H.K.; Umar, Mallam Abdulkarim
    Malaria and Hepatitis B Virus (HB V) are diseases that poses serious challenges health wise in the world especially in countries that are developing:-Both diseases belong to t the most widespread diseases, and therefore, a major public health concerns in tropical developing countries. In this research, a mathematical model showing dynamics of Co­ infection of Malaria and HBV diseases was developed using ordinary differential equations which consists of 9 compartments. The study covers the model*s futdre solution positivity, model invariant region and disease-free points. The next generation matrix method was used to compute the basic reproduction number, R0, for the coinfection model using and the disease free equilibrium point and was shown to be Locally Asymptotically Stable ifJl0 < 1 and unstable if > 1. Then, the coinfection model was extended to optimal control by incorporating four control interventions. The optimality System was obtained using the Pontryagin’s maximum principle. Simulation of the optimality system was done and five strategies was proposed to qheck the effect of the controls. First, prevention only for both diseases was considered, and the result shows that, applying prevention control has a great impact in bringing down the expansion of malaria, HBV infection, and their coinfection in the specified period of time. Other approaches are prevention effort for malaria and treatment effort for HBV infection, prevention effort for HBV infection and treatment effort for malaria, treatment effort for both diseases, and using all interventions. We obtained that the listed strategies were effective in ,,minimizing the expansion of Malaria HBV coinfeciious population in the specified period of time.
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    Phillips Curve Representation on Inflation in Nigeria: Evidence from Vector Error Correction Model.
    (Department of Statistics, Nasarawa Sate University Keffi., 2017-01-05) Adenomon, Monday Osagie; Oduwole, H.K.; Ahmed, I.
    The Phillips curve represents the relationship between the rate of inflation and the unemployment rate. This paper investigated the interrelationship between inflation rate and unemployment rate in Nigeria from 1970 to 2014. Annual data for these variables were collected from secondary sources. The ADF test revealed that inflation and unemployment rates are stationary at first difference while the Johansen cointegration test indicated one (1) cointegrating equation at 5% level of significance. The VECM model at lag 2 was used to investigate the short and long run interrelationship between inflation and unemployment rates in Nigeria. The result revealed a positive long run relationship between inflation and unemployment rate in Nigeria which negates the Phillip curve while the equilibrium error correction coefficient (ECM) estimate of -0.795 is highly significant with the correct sign. This implies a high speed of adjustment to equilibrium after shock. The Granger causality test revealed that inflation is not influenced by unemployment in the short run. This paper therefore recommends that the government should formulate economic policy to reduce inflation rate and unemployment in the long run.
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    The Pictorial Integral of Malaria Control with Maple
    (Department of Mathematics, Nasarawa State University Keffi, 2023-01-03) Emmanuel, Atanyi Yusuf; Oduwole, H.K.; Umar, Mallam Abdulkarim
    The pictorial integral of malaria control with maple has bepn derived to eradicate larvae, pupae and adult Anopheles mosquitoes using natural predators to eradicate "copepods, tadpoles and purple swallows" ( an organism that eats mosquitoes). The new model is a control flowchart of the predator-prey interaction model in the mosquito life cycle, considering an open population of mosquitoes and predators. These models provide a solid understanding of malaria control in our environment, especially when models are based on vector population ecology and a solid understanding of transmission-relevant parameters and variables Model equations were derived using parameters and variables from the model Stability analysis of free equilibrium states was analyzed simultaneously using equilibrium point, Maple software', elimination and substitution methods. Therefore, the number of larvae that pupate is almost zero, and the number of pupae that turn into adults is minimal, and the number of adults that escape to the vector stage is negligible, this means that the life cycle could be disrupted at the end of the larval, pupal and adult stages with the introduction of natural enemies, with the natural implication that there will be no adult Anopheles mosquito for transmission of the malaria, and we also use maple for the symbolic and numerical solution and graphically presented the results. . The contribution of this research to knowledge is to produce the mathematical formula and the biologically sound methods that will contribute to the eradication of the adult Anopheles mosquito, which will also lead to the eradication of malaria in our society. ,