Mathematical Modelling and Numerical Simulation with Applications <table cellspacing="10" cellpadding="10"> <tbody> <tr> <td valign="top" width="250"> <p><img src="" alt="" width="150" height="150" /></p> <h3>ISSN Online: 2791-8564</h3> <p> </p> <div> <div> <div> <h2>Editor-in-Chief<span style="font-size: 0.875rem;"> </span></h2> </div> </div> <p><a title="Editor in Chief" href=";hl=en" target="_blank" rel="noopener">Mehmet Yavuz</a>, PhD, Necmettin Erbakan University, Turkey</p> <p><strong><a href="" target="_blank" rel="noopener"><em>View the Full Editorial Board</em></a></strong></p> <h3>Technical Editor</h3> <a title="Dr." href="" target="_blank" rel="noopener">Halil İbrahim Özer</a> - Necmettin Erbakan University, Turkey <h3>English Editor</h3> <p><a title="Technical Editor of MMNSA" href="" target="_blank" rel="noopener">Abdulkadir Ünal </a> - Alanya Alaaddin Keykubat University, Turkey</p> <h3>Editorial Secretariat</h3> <p><a title="Editorial Secretariat" href=";view_op=list_works&amp;gmla=AJsN-F7CFAvwgtjwffHndGF30cy9pdKoosfnlCDjj1iuirxc2S9vNOnAlDxBq4D_bFZUbDl7tXXgYUt6Vc67fMmXmmyjhNqKz4aIVVP_YKC4Veb1rve8AwU&amp;user=5_-GcBcAAAAJ" target="_blank" rel="noopener">Fatma Özlem Coşar</a>, Necmettin Erbakan University, Turkey</p> <p><a title="Editorial Secretariat" href=";user=6Z-kr5wAAAAJ" target="_blank" rel="noopener">Müzeyyen Akman</a>, Necmettin Erbakan University, Turkey</p> <p> </p> <p><br /> </p> </div> </td> <td valign="top"> <h3>MMNSA is accepting submissions on the Dergipark platform anymore!</h3> <p>The website of the <strong>Mathematical Modelling and Numerical Simulation with Applications</strong> journal has been moved to the <strong>Dergipark</strong> platform, and as of 2023, it accepts submissions via its new website <a href=""></a>.</p> <p>All issues are accessible through the new website, and authors who want to contribute to the journal are kindly requested to send their articles through this website.</p> <h3>Aims and Scope</h3> <p style="text-align: justify;">The <strong><em>Mathematical Modelling and Numerical Simulation with Applications (MMNSA)</em></strong> is an international research journal, which publishes <strong>top-level original</strong> and review papers, short communications and proceedings on mathematical modelling in biology, engineering, medicine, chemistry, physics, and other areas. <strong><em>MMNSA</em></strong> focuses on research related to the <strong>mathematical modelling</strong> of engineering and environmental processes, manufacturing, and industrial systems. A significant emerging area of research activity involves <strong>interdisciplinary processes</strong>, and contributions in this area with <strong>numerical simulations</strong> are also encouraged. The scope of the journal is devoted to mathematical modelling with sufficiently advanced models, and the works studying mainly the existence and stability of stationary points of ODE systems without applications are not considered. The scope of the journal also includes applied mathematics and mathematical analysis in the context of its applications to <strong>real-world problems</strong>. The journal is essentially functioning on the basis of topical issues representing active areas of research. The authors are invited to submit papers to the announced issues or to suggest new issues.<br />Journal publishes research articles and reviews within the whole field of mathematical modelling, and it will continue to provide information on the latest trends and developments in this ever-expanding subject.</p> <h3>Journal Topics</h3> <p style="text-align: justify;">Mathematical Modelling, Applied Mathematics, Financial Mathematics, Control Theory, Modeling of Real-World Problems, Numerical Simulation, Fractional Calculus and Applications, Modeling of Bio-systems for Optimization and Control, Control Theory and Fuzzy Theory with Applications, Linear Programming, Nonlinear Programming, Stochastic Programming, Dynamic Programming, Nonlinear Dynamics, Stochastic Differential Equations, Operational Research in Life and Human Sciences, Applications Related to Control on Engineering.</p> </td> </tr> </tbody> </table> <p> </p> en-US <p>Articles published in <strong>MMNSA</strong> are made freely available online immediately upon publication, without subscription barriers to access. All articles published in this journal are licensed under the <em>Creative Commons Attribution 4.0 International License</em> (<a href="">click here</a> to read the full-text legal code). This broad license was developed to facilitate open access to, and free use of, original works of all types. Applying this standard license to your work will ensure your right to make your work freely and openly available.</p> <p>Under the Creative Commons Attribution 4.0 International License, authors retain ownership of the copyright for their article, but authors allow anyone to download, reuse, reprint, modify, distribute, and/or copy articles in <strong>MMNSA</strong>, so long as the original authors and source are credited.</p> <p><strong>The readers are free to:</strong></p> <ul> <li><strong>Share</strong> — copy and redistribute the material in any medium or format</li> <li><strong>Adapt</strong> — remix, transform, and build upon the material for any purpose, even commercially.</li> <li>The licensor cannot revoke these freedoms as long as you follow the license terms.</li> </ul> <p><strong>under the following terms:</strong></p> <ul> <li><strong>Attribution</strong> — You must give <strong>appropriate credit</strong>, provide a link to the license, and <strong>indicate if changes were made</strong>. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.</li> </ul> <ul> <li><strong>No additional restrictions</strong> — You may not apply legal terms or <strong>technological measures</strong> that legally restrict others from doing anything the license permits.</li> </ul> (Mehmet Yavuz) (Kerim Sarıgül (Technical Editor)) Fri, 30 Dec 2022 00:00:00 +0300 OJS 60 A model for COVID-19 and bacterial pneumonia coinfection with community- and hospital-acquired infections <p>We propose a new epidemic model to study the coinfection dynamics of COVID-19 and bacterial pneumonia, which is the first model in the literature used to describe mathematically the interaction of these two diseases while considering two infection ways for pneumonia: community-acquired and hospital-acquired transmission. We show that the existence and local stability of equilibria depend on three different parameters, which are interpreted as the basic reproduction numbers of COVID-19, bacterial pneumonia, and bacterial population in the hospital. Numerical simulations are performed to complement our theoretical analysis, and we show that both diseases can persist if the basic reproduction number of COVID-19 is greater than one.</p> Angel G. Cervantes Pérez, David Adeyemi Oluyori Copyright (c) 2022 Angel G. Cervantes Pérez, David Adeyemi Oluyori Thu, 01 Dec 2022 00:00:00 +0300 A new analytical approach to the (1+1)-dimensional conformable Fisher equation <p>In this paper, we use an effective method which is the rational sine-Gordon expansion method to present new wave simulations of a governing model. We consider the (1+1)-dimensional conformable Fisher equation which is used to describe the interactive relation between diffusion and reaction. Various types of solutions such as multi-soliton, kink, and anti-kink wave soliton solutions are obtained. Finally, the physical behaviours of the obtained solutions are shown by 3D, 2D, and contour surfaces.</p> Gülnur Yel, Miraç Kayhan, Armando Ciancio Copyright (c) 2022 Gülnur Yel, Miraç Kayhan, Armando Ciancio Tue, 27 Dec 2022 00:00:00 +0300 On the relations between a singular system of differential equations and a system with delays <p>In this article, we consider a class of systems of differential equations with multiple delays. We define a transform that reformulates the system with delays into a singular linear system of differential equations whose coefficients are non-square constant matrices, and the number of their columns is greater than the number of their rows. By studying only the singular system, we provide a form of solutions for both systems.</p> Ioannis Dassios Copyright (c) 2022 Ioannis Dassios Wed, 28 Dec 2022 00:00:00 +0300 Dynamics of a fractional-order COVID-19 model under the nonsingular kernel of Caputo-Fabrizio operator <p>For the sake of human health, it is crucial to investigate infectious diseases including HIV/AIDS, hepatitis, and others. Worldwide, the recently discovered new coronavirus (COVID-19) poses a serious threat. The experimental vaccination and different COVID-19 strains found around the world make the virus' spread unavoidable. In the current research, fractional order is used to study the dynamics of a nonlinear modified COVID-19 SEIR model in the framework of the Caputo-Fabrizio fractional operator with order b. Fixed point theory has been used to investigate the qualitative analysis of the solution respectively. The well-known Laplace transform method is used to determine the approximate solution of the proposed model. Using the COVID-19 data that is currently available, numerical simulations are run to validate the necessary scheme and examine the dynamic behavior of the various compartments of the model. In order to stop the pandemic from spreading, our findings highlight the significance of taking preventative steps and changing one's lifestyle.</p> Saeed Ahmad, Dong Qiu, Mati ur Rahman Copyright (c) 2022 Saeed Ahmad, Dong Qiu, Mati ur Rahman Thu, 29 Dec 2022 00:00:00 +0300 Mathematical modelling of a glucose-insulin system for type 2 diabetic patients in Chad <p>In this paper, we focus on modelling the glucose-insulin system for the purpose of estimating glucagon, insulin, and glucose in the liver in the internal organs of the human body. A three-compartmental mathematical model is proposed. The model parameters are estimated using a nonlinear inverse optimization problem and data collected in Chad. In order to identify insulin and glucose in the liver for type 2 diabetic patients, the Sampling Importance Resampling (SIR) particle filtering algorithm is used and implemented through discretization of the developed mathematical model. The proposed mathematical model allows further investigation of the dynamic behavior of hepatic glucose, insulin, and glucagon in internal organs for type 2 diabetic patients. During periods of hyperglycemia (i.e., after meal ingestion), whereas insulin secretion is increased, glucagon secretion is reduced. The results are in agreement with empirical and clinical data and they are clinically consistent with physiological responses.</p> Adam Hassan Adoum, Mahamat Saleh Daoussa Haggar, Jean Marie Ntaganda Copyright (c) 2022 Adam Hassan Adoum, Mahamat Saleh Daoussa Haggar, Jean Marie Ntaganda Fri, 30 Dec 2022 00:00:00 +0300