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Item Stability Analysis of the Mathematical Modelling of Transmission and Control of Rabies Incorporating Vaccination Class(Dutse Journal of Pure and Applied Sciences (DUJOPAS),, 2022-03-12) Abdurrahman, Nurat Olamide; Somma, S. A.; Balogun R. T.; Eguda F. Y.; Adama, P. W.; Yisa E. M.Rabies is a viral disease of the nervous system that is often transmitted to human beings through the bite or scratch of rabid animals. The uprising of insecurity globally has forced several people to get dogs into their homes. This paper formulated the mathematical model of rabies transmission and control by incorporating vaccination class. The model's Disease Free Equilibrium (DFE) state was obtained and used to compute the basic reproduction number R0. Local stability analysis of the DFE was carried out using Jacobian Matrix techniques. The DFE is locally asymptotically stable if R0 < 1.Item Stability Analysis of the Mathematical Modelling of Transmission and Control of Rabies Incorporating Vaccination Class(Dutse Journal of Pure and Applied Sciences (DUJOPAS), 2022-03-02) Somma, Samuel Abu; Balogun, R. T.; Eguda, F. Y.; Abdurrahman, N. O.; Adama, P. W.; Yisa E. M.Rabies is a viral disease of nervous system that is often transmitted to human beings through the bite or scratch of rabid animals. The uprising of in-security globally has forced several people to get dogs in their houses. In this paper the mathematical model of rabies transmission and control was formulated by incorporating vaccination class. The Disease Free Equilibrium (DFE) state of the model was obtain and used to compute the basic reproduction number 0 R . Local stability analysis of the DFE was carried out using Jacobian Matrix techniques. The DFE is locally asymptotically stable ifItem INVESTIGATION OF PRESSURE TRANSIENTS AND WAVE PROPAGATION EFFECTS IN A PRESSURIZED PETROLEUM PIPELINE USING WANDA TRANSIENT SOFTWARE(Nigeria Journal of Engineering Science and Technology Research (FUT Yola), 2019-05-04) Muhammad, .A. B.; Nasir, .A.; Ayo, .S. A.; Bori IgePressure transients and effects of wave propagations due to instantaneous valve closure in a pipeline transporting premium motor spirit (PMS) were investigated using simulation approach in this paper. Pressure transient investigation and analysis are often more significant than the steady state analysis that hydraulic Engineers usually use in pipeline design because almost all pipelines experience pressure transient in their operations. Pressure transient analysis helps to understand the additional loads a pipeline can be subjected to as a result of instantaneous valve closures. In this paper, WANDA Transient 4.5.1210 commercial software was used for the analysis of the pressure transients due to instant valve closure in a petroleum pipeline. Three different instantaneous valve closure times of 4.5, 9 and 18 seconds were used in this investigation. It was observed in this research that rise in pressure is highest (1304 kPa) at node F (the node where the valve closure takes place) against the inlet pressure of 120 kPa and also there is drastic drop in pressure (-53.7 kPa) at node B (a node just upstream end of the pump). Also cavitations were observed at Node B due to the development of negative pressure as a result of the valve closure. The research recommends that surge tank should be installed at node F to stabilize the pressure surge and also air vessels are to be installed at node B to curtail damages due to cavitations.