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 Physics, Mathematical Chemistry, Mathematical Modelling, Mathematical Biology. Applications of Mathematics in Finance and Economics are also welcome.</p> Earthline Publishers, Madanambedu, Chittoor, Andhra Pradesh, India en-US Earthline Journal of Mathematical Sciences 2581-8147 <p><img src="https://earthlinepublishers.com/public/site/images/ejcs/88x311.png"><br>This work is licensed under a&nbsp;<a href="http://creativecommons.org/licenses/by/4.0/" rel="license">Creative Commons Attribution 4.0 International License</a>.</p> Modeling the Daily Number of Reported Cases of Infection from the COVID-19 Pandemic in Nigeria: A Stochastic Approach https://earthlinepublishers.com/index.php/ejms/article/view/235 <p>The focus of this paper is to present a stochastic model to capture the random behavior of the number of reported daily infections due to the Corona Virus (COVID-19) in Nigeria. The model expressed in form of a distribution function has five parameters. The model was fitted to the logarithm of the reported daily number of infection cases for the time period March 18th - June 11th, 2020. While the results obtained established the adequacy of the model in fitting and explaining the random behavior of the number of reported daily infections, it was also possible to use the model to study the situation of the number of infections exceeding certain thresholds. The procedure for the determination of these thresholds was established and a number of them were estimated for some given return periods.</p> Patrick Osatohanmwen Francis O. Oyegue Sunday M. Ogbonmwan Copyright (c) 2020-09-15 2020-09-15 5 2 217 235 10.34198/ejms.5221.217235 Detour Extra Straight Lines in the Euclidean Plane https://earthlinepublishers.com/index.php/ejms/article/view/237 <p>Using the theory of exploded numbers by the axiom-systems of real numbers and Euclidean geometry, we explode the Euclidean plane. Exploding the Euclidean straight lines we get super straight lines. The extra straight line is the window phenomenon of super straight line. In general, the extra straight lines are curves in Euclidean sense, but they have more similar properties to Euclidean straight lines. On the other hand, with respect of parallelism we find a surprising property: there are detour straight lines.</p> I. Szalay B. Szalay Copyright (c) 2020-09-18 2020-09-18 5 2 237 249 10.34198/ejms.5221.237249 The Interpolative Berinde Weak Mapping Theorem in η-Cone Pentagonal Metric Space https://earthlinepublishers.com/index.php/ejms/article/view/239 <p>In this paper we introduce a concept of η-cone pentagonal metric space, which combines the notions of cone pentagonal metric space [1], and η-cone metric space [2]. Moreover, a variant of the interpolative Berinde weak mapping theorem obtained in [3] is proved in this setting.</p> Clement Boateng Ampadu Copyright (c) 2020-09-26 2020-09-26 5 2 251 266 10.34198/ejms.5221.251266 Refined Heuristic Swarm Intelligence Algorithm https://earthlinepublishers.com/index.php/ejms/article/view/242 <p>In this paper, a new metaheuristic algorithm named refined heuristic intelligence swarm (RHIS) algorithm is developed from an existing particle swarm optimization (PSO) algorithm by introducing a disturbing term to the velocity of PSO and modifying the inertia weight, in which the comparison between the two algorithms is also addressed.</p> I. I. Aina C. N. Ejieji Copyright (c) 2020-09-30 2020-09-30 5 2 267 275 10.34198/ejms.5221.267275 Cusa-Huygens, Wilker and Huygens Type Inequalities for Generalized Hyperbolic Functions https://earthlinepublishers.com/index.php/ejms/article/view/244 <p>In this paper, we establish Cusa-Huygens, Wilker and Huygens type inequalities for certain generalizations of the hyperbolic functions. From the established results, we recover some previous results as particular cases.</p> Kwara Nantomah Copyright (c) 2020-10-06 2020-10-06 5 2 277 289 10.34198/ejms.5221.277289 The Fuzzy Interpolative Berinde Weak Mapping Theorem in Metric Space https://earthlinepublishers.com/index.php/ejms/article/view/245 <p>Motivated by [1], this paper obtains a fuzzy fixed point variant of the interpolative Berinde weak mapping theorem of [2] in the setting of complete metric spaces.</p> Clement Boateng Ampadu Copyright (c) 2020-10-07 2020-10-07 5 2 291 296 10.34198/ejms.5221.291296 Properties of Generalized (r,s,t,u)-Numbers https://earthlinepublishers.com/index.php/ejms/article/view/247 <p>In this paper, we investigate the generalized (r,s,t,u) sequence and we deal with, in detail, three special cases which we call them (r,s,t,u), Lucas (r,s,t,u) and modified (r,s,t,u) sequences. We present Binet's formulas, generating functions, Simson formulas, and the summation formulas for these sequences. Moreover, we give some identities and matrices related with these sequences.</p> Yüksel Soykan Copyright (c) 2020-10-15 2020-10-15 5 2 297 327 10.34198/ejms.5221.297327 Water Distribution Network Design using Hybrid Self-adaptive Multi-population Elitist Pollination Intelligence (HSAMPEPI) Jaya Algorithm https://earthlinepublishers.com/index.php/ejms/article/view/248 <p>An optimization model to minimize the cost of designing water distribution network is presented in this study. The model was formulated to reduce the cost coefficient in a plumbing system. A new hybrid method of optimization was constructed by combining the search abilities of Jaya-based algorithm and pollination intelligence algorithm, and was used to solve the designed model. The model was implemented by obtaining geometrical information of a water distribution network layout stationed at Gaa Odota, Ilorin, Kwara State, Nigeria. Result obtained from the model showed a significant reduction in the cost coefficient compared to that of the study area.</p> Akintayo Emmanuel Akinsunmade Ibukun Isaac Aina Copyright (c) 2020-10-16 2020-10-16 5 2 329 343 10.34198/ejms.5221.329343 Influence of Radiation on Magneto-hydrodynamics Flow Over an Exponentially Stretching Sheet Embedded in a Thermally Stratified Porous Medium in the Presence of Heat Source https://earthlinepublishers.com/index.php/ejms/article/view/252 <p>The influence of radiation on magneto-hydrodynamics (MHD) boundary layer flow over an exponentially stretching sheet embedded in a thermally stratified porous medium in the presence of heat source and suction/blowing was investigated.</p> <p>Similarity transformation was used to convert the governing equations from partial differential equations into a system of non-linear ordinary differential equations. Solving numerically, we used shooting method along with fourth order Runge-Kutta technique to obtained numerical values.</p> <p>The effects of the obtained numerical values of the dimensionless parameters on skin-friction coefficient, Nusselt number, velocity profile and temperature profile are illustrated in table and graphs plotted using MATLAB. Comparison of the velocity profile with previously published work was presented and found to be in good agreement.</p> Isaac Ogechi Senge Emmanuel Olubayo Oghre Idongesit Fred Ekang Copyright (c) 2020-10-26 2020-10-26 5 2 345 363 10.34198/ejms.5221.345363 Coefficient Estimates of Certain Subclasses of Bi-Bazilevic Functions Associated with Chebyshev Polynomials and Mittag-Leffler Function https://earthlinepublishers.com/index.php/ejms/article/view/253 <p>In this present investigation, the authors introduced certain subclasses of the function class $T^{\alpha}_{\theta}(\lambda, \beta, t)$ of bi-Bazilevic univalent functions defined in the open unit disk $U$, which are associated with Chebyshev polynomials and Mittag-Leffler function. We establish the Taylor Maclaurin coefficients $\left|a_{2}\right|$, $\left|a_{3}\right|$ and $\left|a_{4}\right|$ for functions in the new subclass introduced and the Fekete-Szego problem is solved.</p> Adeniyi Musibau Gbolagade Ibrahim Tunji Awolere Copyright (c) 2020-10-27 2020-10-27 5 2 365 376 10.34198/ejms.5221.365376 T-Fuzzy Ideals in Coupled Ordered Γ-Semirings : Some Properties https://earthlinepublishers.com/index.php/ejms/article/view/254 <p>In this paper, we introduce the notions of <em>T</em>-fuzzy ideal, <em>T</em>-fuzzy quasi ideal, <em>T</em>-fuzzy bi-ideal, and <em>T</em>-fuzzy interior ideal. Some related properties are obtained. in coupled Γ semirings. Our work is inspired by [1].</p> Clement Boateng Ampadu Copyright (c) 2020-10-29 2020-10-29 5 2 377 393 10.34198/ejms.5221.377393 Bernoulli Wavelets Operational Matrices Method for the Solution of Nonlinear Stochastic Itô-Volterra Integral Equations https://earthlinepublishers.com/index.php/ejms/article/view/256 <p>This article gives an effective strategy to solve nonlinear stochastic Itô-Volterra integral equations (NSIVIE). These equations can be reduced to a system of nonlinear algebraic equations with unknown coefficients, using Bernoulli wavelets, their operational matrix of integration (OMI), stochastic operational matrix of integration (SOMI) and these equations can be solved numerically. Error analysis of the proposed method is given. Moreover, the results obtained are compared to exact solutions with numerical examples to show that the method described is accurate and precise.</p> S. C. Shiralashetti Lata Lamani Copyright (c) 2020-11-10 2020-11-10 5 2 395 410 10.34198/ejms.5221.395410 Wardowski Type Characterization of the Interpolative Berinde Weak Fixed Point Theorem https://earthlinepublishers.com/index.php/ejms/article/view/260 <p>In [1], Wardowski introduced the <em>F</em>-contractions, and used it to prove the Banach contraction principle. In this paper we introduce a concept of <em>F</em>-interpolative Berinde weak contraction, and use it to prove the interpolative Berinde weak mapping theorem of [2].</p> Clement Boateng Ampadu Copyright (c) 2020-11-16 2020-11-16 5 2 411 414 10.34198/ejms.5221.411414 A Discrete Analogue of the Continuous Marshall-Olkin Weibull Distribution with Application to Count Data https://earthlinepublishers.com/index.php/ejms/article/view/265 <p>In this paper, we introduced the discrete analogue of the continuous Marshall-Olkin Weibull distribution using the discrete concentration approach. Some mathematical properties of the proposed discrete distribution such as the probability mass function, cumulative distribution function, survival function, hazard rate function, second rate of failure, probability generating function, quantile function and moments are derived. The method of maximum likelihood estimation is employed to estimate the unknown parameters of the proposed distribution. The applicability of the proposed discrete distribution was examined using an over-dispersed and under-dispersed data sets.</p> Festus C. Opone Elvis A. Izekor Innocent U. Akata Francis E. U. Osagiede Copyright (c) 2020-11-22 2020-11-22 5 2 415 428 10.34198/ejms.5221.415428