Browsing by Author "Ejieji, C. N."

Now showing 1 - 9 of 9
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    Bounds on coefficients of certain analytic functions
    (Faculty of Science, University of Ilorin, Ilorin, Nigeria, 2013) Jimoh, F. M.; Ganiyu, M. A.; Ejieji, C. N.; Babalola, Kunle Oladeji
    In this paper, we obtain bounds on some early coefficients of analytic functions which have the form f(z)=z+a_2 z^2+⋯ and which satisfy certain geometric conditionsin the open unit disk E={z∈ C:|z|<1}
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    Bounds on coefficients of certain analytic functions
    (Faculty of Science, University of Ilorin, Ilorin, Nigeria, 2013) Jimoh, F. M.; Ganiyu, M. A.; Ejieji, C. N.; Babalola, Kunle Oladeji
    In this paper we obtain bounds on some early coefficients of analytic functions which have the form f(z)=z+a_2z^2+...and satisfy certain geometric conditions in the unit disk E = {z: |z|<1}.
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    Coefficient estimates for certain classes of analytic functions
    (Nigerian Mathematical Society, 2014) Ganiyu, M. A.; Jimoh, F. M.; Ejieji, C. N.; Babalola, Kunle Oladeji
    Bounds on early coefficients of analytic functions normalized by f(0)=f^'(0)-1=0 which satisfy Re (〖f(z)〗^(α-1) f^' (z))/z^(α-1) (1+(zf^'' (z))/(f^' (z) ))>0 in the unit disk U ={z∈ C:|z|<1} are obtained using known properties of functions with positive real part
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    Cousins of the Bernoulli Inequality
    (Faculty of Science, University of Ilorin, Ilorin, Nigeria, 2012) Babalola, Kunle Oladeji; Ejieji, C. N.
    We present elementary inequalities of Bernoulli type, which have applications in the theory of inequalities, especially the geometric function theory
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    Cousins of the Bernoulli Inequality
    (Faculty of Science, University of Ilorin, Ilorin, Nigeria, 2012) Babalola, Kunle Oladeji; Ejieji, C. N.
    We present elementary inequalities of the Bernoulli type, which have applications in the theory of inequalities, especially the geometric functions theory.
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    Early coefficients of close-to-star functions of type alpha
    (Nigerian Mathematical Society, 2012) Babalola, Kunle Oladeji; Olasupo, A. O.; Ejieji, C. N.
    We obtain sharp bounds on the early coefficients of certain close-to-star analytic functions of type α in the unit disk E ={z∈ C:|z|<1}
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    A generalization of starlikeness condition
    (Nigerian Mathematical Society, 2016) Ejieji, C. N.; Babalola, Kunle Oladeji
    In this paper, we prove a generalization of a well known starlikeness condition in the unit disk using a method of linear combinations of certain geometric expressions. Some interesting corollaries are mentioned
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    Optimal Control Analysis of HIV/AIDS Model with PrEP Strategy and Behavioral Changes
    (2025-04-10) Ahmed, B. M.; Dotia, A. K.; Ibrahim, M. O.; Adeoye, A. O.; Ejieji, C. N.; Olotu, O. T.; Bakare, G. N.; Adama, P. W.; Romanus, N.
    Combining Pre-Exposure Prophylaxis (PrEP) with behavioral strategies has become vital in curbing HIV/AIDS transmission, offering a pathway to reduce infections and allocate health resources more effectively. In this study, we developed a six-compartment mathematical model to analyze the spread and control of HIV/AIDS. Through rigorous analysis, we calculated the basic reproduction number (R₀) to assess transmission potential and evaluated the stability of the disease-free equilibrium state. To identify optimal strategies for reducing HIV/AIDS prevalence, we designed an optimal control framework using Pontryagin’s Minimum Principle. This approach allowed us to evaluate the effectiveness of prevention tactics such as public health education, condom use, screening, and treatment both individually and in combination. Our findings highlight that pairing community awareness campaigns with increased condom usage among adults, alongside proactive screening and treatment programs, significantly reduces new infections and overall prevalence. Numerical simulations further demonstrated how these measures lower infection rates, aligning with our theoretical predictions. These insights emphasize the importance of integrated, multi-pronged interventions to guide public health policies and resource distribution in the fight against HIV/AIDS.
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    Optimal Test Strategies for HBV-HIV Co-Infection Model
    (2019) Dotia, A. K.; Ibrahim, M. O.; Ejieji, C. N.; Bello, K. A.; Ahmed, B. M.; Ajanaku, B.; Kazeem, A. B.; Lawan, A. O.
    In this paper, we present a deterministic model for the co-interaction of HBV and HIV in a population. Mathematical analyses are carried out, which determines the positivity of solution and optimal control. This study examined the effectiveness of the efforts put in place in eliminating the birth of prenatally infected chronic carrier mother, considering the efficacy of prophylactic vaccine against the incidence of new cases. The scheme shows that the disease can be resisted with vaccination(s) and treatment.