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