Browsing by Author "Emmanuel, Atanyi Yusuf"
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Item Open Access CATANOVA analysis of academic performance of pupils in primary schools and districts - a tool for conflict resolution(Department of Computer Science, Nasarawa State University Keffi, 2022-05-09) Omebo, D.M.O.; Emmanuel, Atanyi Yusuf; Aimufua, Gilbert Imuetinyan OsazeThis paper is an extract of the research findings that was carried out in Ofu local government area of Kogi state in 2021 which was used to resolve the conflict that broke out as a result of the establishment of Government Special Science College by the Kogi state Government. The bone of contention then was which of the three districts of the local government should have the new special science college. This necessitated the research to find out if performance depends on the district or not. An analysis of variance for categorical data (CATANOVA) was used in carrying out the test. It was discovered that performance depends on the district, and that pupils from Igalaogba district performed better than the other two districts. Hence the new Government Special Science College, should be sited in this particular district. All the findings were based on the performance of pupils in primary six using common entrance examination results for 2019 since there was no common entrance examination for 2020 due to covid-19 pandemicItem Open Access Mathematical Model of Political Rumour in Assakio Community with Conditional Latent Period in a Varying Population(Department of Computer Science, Nasarawa State University Keffi, 2021-09-09) Emmanuel, Atanyi Yusuf; Akayede, Imam; Olagunju, A.S.; Aimufua, Gilbert Imuetinyan Osaze; Apene, Oghenvovwero Zion; Sani, Umar; Isah, S.H.1/1 «-its paper 1 rumour propagation model with conditional latent period and uarying population is considered. 111 tire literature, 12551081 model assume that an ignorant in d d u a l enters tire latent period and decide ■whether to become aspreader or stifler.ln our model roe introduce anew compartment called tire blackmailers, another type o f spreaders who spread the rumour for selfish reason. The model equations are first transformed into proportions, thus reducing the model equations from fine to four differeritial equations. The model exhibit two equilibra, namely the Rumour Tree Equilibrium RTEf and the Rumour Endemic Equilibrium REE). Using the method of linearized stability, we establish that the RTE state exist and is localhj asymptomatically stable when R٠Item Open Access 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). \Item Open Access 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 AbdulkarimMathematical 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.Item Open Access 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 AbdulkarimModelling 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.Item Open Access 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 AbdulkarimThe 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. ,