Browsing by Author "Ndakwo, Husseini S."

Now showing 1 - 7 of 7
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    A Continuous Time Mathematical Model for Retiring Lecturers in the Nigerian Universities: A Case Study, of Nasarawa State University, Keffi, Nigeria
    (Department of Mathematics, Nasarawa State University Keffi, 2012-01-03) Ndakwo, Husseini S.; Muhammad, A.Y.; Umar, M.A.
    In this .paper, an attempt vas made to formulate a continuous tunc Mathematical model dial will solve the problems'confronting Lecturers towards and during re them end Onnh, E.S. and Mser, M.D.(2003) Mathematical Association of Nigeria worked on the general Mathematical Model for retiring workers. 'The income of a Professor and. a. Graduate Assistant in a Nigerian University was used in-the numerical example.
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    Effects of minimum epidemic and population sizes on a global epidemic in simulations of final size data
    (Department of Mathematics, Nasarawa State University Keffi, 2020-08-08) Umar, Mallam Abdulkarim; Ndakwo, Husseini S.
    The stochastic SIR household epidemic model is well discussed in [2], [3] and [4]. The work of [1] • also proposed maximum likelihood based algori hm for its inference by assuming independence of epidemic in each household, contrary to the dependency assn uption in [4]. 8 ° * Using simulations, we examined the ne id for an appropriate choice of cut-off between small and large epidemics often referred to as minimum epidemic size, using rejection sampling, for a global infection to occur and then compared the estimates of the model parameters over a range of theoretical parameters, XL and Xc with corresponding z 6 [0,1]. We found that with large population size, appropriate choice of the minimum epidemic size and Xc =£ 0 facilitate the occurrence of a global epidemic. Thus, given these scenarios, the adequacy of the model fitness to the final size epidemic data is then realised.
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    A Global Stability Analysis of a Susceptible-Infected-Removed-Prevented-Controlled Epidemic Model
    (Department of Mathematics, Nasarawa State University Keffi, 2014-03-06) Muhammad, Yau A.; Ndakwo, Husseini S.; Umar, Mallam Abdulkarim
    A mathematical model off HIV transmission dynamics Is proposed and analysed. The population is partitioned into five compartments of susceptible 5(C),Infected I{£), Removed rtp), .Prevented* t/(C) and the Controlled W(t). Each of the compartments comprises of cohort of individuals. Five sys­ tems of nonlinear equations are derived to represent each of the compartments. The general bility of the disease free equilibrium (DFE) and the endemic equilibrium states of the linearized model are established using the linear stability analysis (Routh-Hurwitz) method which is found to be locally asymptotically stable when the Infected individuals receive ART and use the condom. The reproduction number is also derived using the idea of Diekmann and is found to be strictly less than one. This means that the epidemic will die out.
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    Mathematical Model for Vertical Transmission of HIV/AIDS, in a Homogeneous Mixing Population
    (Department of Mathematics, Nasarawa State University Keffi, 2007-03-03) Umar, Mallam Abdulkarim; Ndakwo, Husseini S.
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    MODELING THE DYNAMICS OFT4-CELLS COUNTS IN AN HIV-INFECTED INDIVIDUAL
    (Department of Mathematics, Nasarawa State University Keffi, 2011-11-11) Umar, Mallam Abdulkarim; Ndakwo, Husseini S.
    In this work, w e examined, the stages of HIV progression to AI DS and proposed .a stochastic model of • the number of T 4 - cells counts in an HIV infected person. Tlie mean number of 14 - cells in each disease, phase is obtained and the conditions for a stable level of CD +4 — lymphoc^'te cells in an infected host are suggested. TIic need for antiretroviral therapies to sustain this level is emphasized.
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    Transport System Effects On. Cross Diffusion
    (Department of Mathematics, Nasarawa State University Keffi, 2013-01-06) Ndakwo, Husseini S.; Umar, Mallam Abdulkarim; Muhammad, A.Y.
    Cross diffusion is a phenomena in which a gradient in the concentration of one species induces a flux of another chemical species which was generally been neglected in the study of reaction-diffusion systems. We study the Turing bifurcation of two species reaction transport systems, where particle dispersal is governed by diffusion and cross diffusion, we performed linear stability apglysis to find tKc conditions for the Turing instability and compare results with the standard Turing conditions and we applied our results to'one model system, the Schnakenberg reaction Kinetics to see it effects on cross diffusion.
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    Validating Numerical to Theoretical Solutions in a \Reaction-Diffusion with Linear Cross-Diffusion Systems.
    (Department of Mathematics, Nasarawa State University Keffi, 2020-07-20) Ndakwo, Husseini S.; Umar, Mallam Abdulkarim; Bello, Sulayman M.
    In tliis paper, we consider a reaction diffusion system with linear cross-diffusion. We carry‘out the analytical study in detail and find out that, when the diffusion coefficient is unity, Turing instability does not occur, but with the introduction of cross-diffusion, the system exhibit Turing instability. The numerical results reveal that, on increasing the value of, there is an occurrence of spatial patterns which conforms with the theoretical results. The cross-diffusion coefficients really play a vitaj role on the parameter spaces and spatial patterns of our system,