Journal of Mathematical Analysis and Modeling https://sabapub.com/index.php/jmam <p>Journal of Mathematical Analysis and Modeling (JMAM) is a peer-reviewed international journal published by Saba Publishing. <em>JMAM</em> is a broad scope journal that publishes original research and review articles on all aspects of both pure and applied mathematics.<br />JMAM is an open-access journal, which provides free access to its articles to anyone, anywhere!<br />All contributions to JMAM are published free of charge and there is no article submission charge.</p> <p><strong>Editor in Chief: Dr. <a title="Mohammed S. Abdo" href="https://www.scopus.com/authid/detail.uri?authorId=57204354133" target="_blank" rel="noopener">Mohammed S. Abdo</a></strong><br /><strong>ISSN (online)</strong>: <a href="https://portal.issn.org/resource/ISSN/2709-5924" target="_blank" rel="noopener">2709-5924</a><br /><strong>Frequency:</strong> Semiannual</p> en-US Mon, 17 Oct 2022 00:00:00 +0000 OJS 3.3.0.10 http://blogs.law.harvard.edu/tech/rss 60 D-precompact Sets in D-Metric Spaces https://sabapub.com/index.php/jmam/article/view/438 <p>The aim of this paper is to define and emphasize a strong form of D-compact sets in generalized metric<br />spaces, namely D-precompact sets. Also with other sets, we shall study the relationships. Furthermore, we<br />give the notions of sequentially D-precompact sets.</p> Hussain Wahish, Amin Saif Copyright (c) 2022 Journal of Mathematical Analysis and Modeling https://creativecommons.org/licenses/by/4.0 https://sabapub.com/index.php/jmam/article/view/438 Mon, 17 Oct 2022 00:00:00 +0000 Thermo-diffusion effect on magnetohydrodynamics flow of fractional Casson fluid with heat generation and first order chemical reaction over a vertical plate https://sabapub.com/index.php/jmam/article/view/322 <p>Analytical solution of thermo diffusion effect on magnetohydrodynamics flow of fractionalized Casson<br />fluid over a vertical plate immersed in a porous media is obtained. Moreover, in the model of the problem, additional effects, like a chemical reaction, heat source/sink, and thermal radiation are also considered.<br />The model is solved by three approaches, namely, Atangana-Baleanu, Caputo-Fabrizio, and Caputo fractional<br />derivative of non-integer order γ. The governing dimensionless equations for temperatures, concentrations,<br />and velocities are solved using Laplace transform method and compared graphically. The effects of different parameters like fractional parameter γ, Thermo diffusion Sr, and magnetic parameter M are discussed<br />through numerous graphs. Furthermore, comparisons among ordinary and fractionalized velocity fields are<br />also drawn. It is found that the velocity obtained with Atangana-Baleanu fractional derivative is less than that<br />obtained by Caputo, Caputo-Fabrizio, or ordinary derivatives.</p> Muhammad Ramzan; Mudassar Nazar Copyright (c) 2022 Journal of Mathematical Analysis and Modeling https://creativecommons.org/licenses/by/4.0 https://sabapub.com/index.php/jmam/article/view/322 Mon, 17 Oct 2022 00:00:00 +0000 Endemic Equilibrium and Forward Bifurcation in the Mathematical Model for Using Wolbachia to Control Spread of Zika Virus Disease https://sabapub.com/index.php/jmam/article/view/463 <p style="-qt-block-indent: 0; text-indent: 0px; margin: 0px;">This paper focuses on the use of wolbachia to control the spread of zika virus disease. Zika virus disease is an arboviral disease that spreads through bites of female mosquitoes in the aedes family especially, aedes aegypti. Experimental studies have indicated that wolbachia could be used to prevent the spread of zika virus disease by infecting aedes aegypti with wolbachia in a laboratory and releasing them in the wild to mate with the wild aedes aegypti.</p> <p style="-qt-block-indent: 0; text-indent: 0px; margin: 0px;">A system of nonlinear ordinary differential equations is used to model the use of wolbachia to stop the spread of zika virus disease in the human and mosquito populations. as well as the population of wolbachia-infected aedes aegypti used as control. It is shown through bifurcation analysis that the model exhibits forward bifurcation, which confirms that a unique endemic equilibrium exists in the model when the control reproduction number, $\mathcal{R}_c&gt;1$. The existence of forward bifurcation in the model means that $\mathcal{R}_c&lt;1$ is enough to guarantee eradication of zika virus disease using wolbachia as a biocontrol. Hence, the spread of zika virus disease can be controlled irrespective of the initial sizes of infected human and mosquito populations</p> Michael Anyanwu Copyright (c) 2022 Journal of Mathematical Analysis and Modeling https://creativecommons.org/licenses/by/4.0 https://sabapub.com/index.php/jmam/article/view/463 Sat, 19 Nov 2022 00:00:00 +0000 Maclaurin’s inequalities for functions whose first derivatives are preinvex https://sabapub.com/index.php/jmam/article/view/449 <p>In this paper, using a new identity, we study one of the famous Newton-Cotes three-point quadrature<br />rules. More precisely Maclaurin’s quadrature rule, for which we establish the error estimate of this method<br />under the constraint that the first derivatives belong to the class of preinvex functions. We also give some<br />applications to special means as applications. We believe that this new studied inequality and the results<br />obtained in this article will further inspire intrigued researchers.</p> Badreddine Meftah, Nouha Allel Copyright (c) 2022 Journal of Mathematical Analysis and Modeling https://creativecommons.org/licenses/by/4.0 https://sabapub.com/index.php/jmam/article/view/449 Sat, 26 Nov 2022 00:00:00 +0000