Earthline Journal of Mathematical Sciences
https://earthlinepublishers.com/index.php/ejms
<p style="text-align: justify;">The Earthline Journal of Mathematical Sciences (E-ISSN: 2581-8147) is a peer-reviewed international journal devoted to publishing original research papers containing substantial contributions in any direction of Pure and Applied Mathematics, Theoretical and Applied Statistics, Theoretical Computer Science, Mathematical Modelling. Applications of Mathematics in Finance and Economics are also welcome.</p>Earthline Publishers, Madanambedu, Chittoor, Andhra Pradesh, Indiaen-USEarthline Journal of Mathematical Sciences2581-8147<p><img src="https://earthlinepublishers.com/public/site/images/ejcs/88x311.png"><br>This work is licensed under a <a href="http://creativecommons.org/licenses/by/4.0/" rel="license">Creative Commons Attribution 4.0 International License</a>.</p>Some Useful Results on Fuzzy Differential Subordination of Multivalent Functions Defined by Borel Distribution Series
https://earthlinepublishers.com/index.php/ejms/article/view/830
<p>In this work, we define and study some families of multivalent analytic functions defined by the fuzzy subordination and Borel distribution. We discuss some interesting inclusion results and various other useful properties involving integral of these families.</p>Bedaa Alawi AbdAbbas Kareem Wanas
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2024-02-142024-02-1414337938910.34198/ejms.14324.379389Age Structured Deterministic Model of Diphtheria Infection
https://earthlinepublishers.com/index.php/ejms/article/view/831
<p>Age-structured mathematical model of diphtheria infection has been formulated with specific epidemiological classes such as S<sub>1</sub>, susceptible infant at time t (0-1years), S<sub>2</sub>, susceptible school children population at time t, V, vaccination population at time t, E, exposed population at time t, I<sub>1</sub>, asymptomatic infection population at time t, I<sub>2</sub>, symptomatic infection population at time t, I<sub>D</sub>, detected infectious humans at time t (asymptomatic and symptomatic) population through testing, R, recovered population at time t. It was established through theorems and proofs that the model is epidemiologically meaningful, and that all its state variables are positive (non-negative) at time t>0 in the domain ℘, and that the domain ℘ is indeed bounded. Using the next generation matrix, the reproduction ratio R<sub>b</sub> of the system was determined. Using dynamical system theory, it was established that the system is locally stable. A matrix-theoretic method was used in the construction of an appropriate Lyapunov function for the global stability analysis of the formulated model, and also established that the system is globally asymptotically stable if R<sub>b</sub>≤1 and unstable otherwise.</p>Ekere Sunday UdofiaUbong Dominic AkpanJoy Ijeoma UwakweHenry Sylvester Thomas
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2024-02-162024-02-1614339140410.34198/ejms.14324.391404Two Families of m-fold Symmetric Bi-univalent Functions Involving a Linear Combination of Bazilevic Starlike and Convex Functions
https://earthlinepublishers.com/index.php/ejms/article/view/832
<p>In the present paper, we define two new families $K M_{\Sigma_m}(\lambda, \gamma, \delta ; \alpha)$ and $K M_{\Sigma_m}^*(\lambda, \gamma, \delta ; \beta)$ of holomorphic and m-fold symmetric bi-univalent functions associated with the Bazilevic starlike and convex functions in the open unit disk U. We find upper bounds for the first two Taylor-Maclaurin $\left|a_{m+1}\right|$ and $\left|a_{2 m+1}\right|$ for functions in these families. Further, we point out several special cases for our results.</p>Samer Chyad KhachiAbbas Kareem Wanas
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2024-02-202024-02-2014340541910.34198/ejms.14324.405419Mathematical Model and Optimal Control of Covid-19 in Nigeria
https://earthlinepublishers.com/index.php/ejms/article/view/841
<p>The global pandemic, Covid-19, caused by corona virus disease is responsible for a significant number of deaths and huge economic losses in almost all the countries of the world, including Nigeria. In order to manage the spread of this disease in Nigeria, the Nigeria Center for Disease Control(NCDC) has proposed and implemented various control and preventive measures such as vaccination, use of alcohol-based hand sanitizers, social distancing, and others. The aim of this paper is to model the transmission dynamics of Covid-19 in Nigeria, and obtain, by using Pontryagin Maximum Principle, the combination of these control strategies for effective control of the disease in Nigeria. Numerical experiments with Nigeria Covid-19 data show the effectiveness optimal use of these preventive and control measures for Covid-19.</p>M. C. AnyanwuS. N. Neossi-NguetchueG. M. MoremediA. S. Eegunjobi
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2024-03-052024-03-0514342144110.34198/ejms.14324.421441Initial Coefficient Bounds Analysis for Novel Subclasses of Bi-Univalent Functions linked with Horadam Polynomials
https://earthlinepublishers.com/index.php/ejms/article/view/846
<p>In this work, we investigate some subclasses of bi-univalent and regular functions associated with Horadam polynomials in the open unit disk $\mathfrak{U}=\{\varsigma\in\mathbb{C}:|\varsigma| <1\}$. For functions that belong to these subclasses, we find bounds on their initial coefficients. The functional problem of Fekete-Szegö is also examined. Along with presenting some new results, we also talk about pertinent connections to earlier findings.</p>Sondekola Rudra SwamyYogesh NanjadevaPankaj KumarTarikere Manjunath Sushma
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2024-03-152024-03-1514344345710.34198/ejms.14224.443457Reliability Model of Medical Equipment in University of Port Teaching Hospital
https://earthlinepublishers.com/index.php/ejms/article/view/847
<p>In this research, on medical equipment maintainability and reliability we conducted basic statistics analysis using University of Port Harcourt Teaching Hospital as the case study; the data collected covered 18 departments, namely; Anatomical Pathology, Micro Biology, Chemical Pathology Laboratory, Radiography Department, Pediatrics, Hemodialialysis, Hematology and Blood Transfusion, Physiotherapy, Dental Department, MDR-TB unit, Pharmacy, ICU, Assisted Conception Unit, Orthopedic Ward, Care for Elderly Laboratory, Family Planning Unit, Community Medicine and Labour Ward. The results of the parametric Weibull distribution percentile suggested that the reliability of the devices tends to fail every 21 days. The reliability plot of the model indicated that the devices tend to decrease its life span with age, the Weibull model was adequately fitted following the results of Anderson adjust test of goodness of fit and the probability plot. In comparison, the Probability value of goodness of fit P(0.0000) of Weibull distribution model was compared with that of exponential distribution model P(0.034), the outcome showed that Weibull distribution is better to model the data of medical equipment in University of Port Harcourt Teaching Hospital.</p>N. P. AkpanE. R. Anyi-Akparanta
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2024-03-152024-03-1514345947510.34198/ejms.14324.459475