Browsing by Author "Uzun, Berna"

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Citation Count: 0
Exact solutions of the (2+1)-dimensional Konopelchenko-Dubrovsky system using Sardar sub-equation method
(World Scientific Publ Co Pte Ltd, 2024) Tarla, Sibel; Salahshour, Soheıl; Yusuf, Abdullahi; Uzun, Berna; Salahshour, Soheil
In this paper, the new modification of the Sardar sub-equation method is used to generate a wide variety of exact solutions for the (2+1)-dimensional Konopelchenko-Dubrovsky system. We focus on investigating the Konopelchenko-Dubrovsky equation, which serves as a mathematical model for studying nonlinear waves in the field of mathematical physics. This equation specifically captures the behavior of waves with weak dispersion, allowing us to explore the intricate dynamics and characteristics associated with such wave phenomena. By delving into the properties and solutions of this system, we aim to deepen our understanding of nonlinear wave propagation and its implications in the broader field of mathematical physics. The exact solutions generated through this modified method provide valuable insights into the propagation and interaction of waves with weak dispersion in the system. The obtained novel solutions are expressed as hyperbolic, and trigonometric functions. The proposed model successfully constructs various types of solutions, including singular, dark, bright, trigonometric, periodic, dark-bright, exponential, and hyperbolic. These solutions are presented with appropriate parameter values in both 3D and 2D graphics.
Citation Count: 0
Impact of public awareness on haemo-lyphatic and meningo-encepphalitic stage of sleeping sickness using mathematical model approach
(Springer Heidelberg, 2024) Andrawus, James; Abubakar, Abbas; Yusuf, Abdullahi; Andrew, Agada Apeh; Uzun, Berna; Salahshour, Soheil
The parasitic disease known as sleeping sickness, or human African trypanosomiasis, is spread by vectors. Trypanosoma protozoans are the cause of it. Humans contract the parasites through the bites of tsetse flies (glossina), which have taken up the parasites from infected humans or animals. The boundedness and positivity of solutions of the proposed model have been ascertained, and the existence of equilibria has been accessed, which shows that the model consist of two equilibrium, the disease-free equilibrium and endemic equilibrium points. Using the next-generation matrix method, we calculated the control and basic reproduction number. It has been determined that the disease-free equilibrium is locally asymptotically stable if the control reproduction number is less than unity. The findings indicate that the disease-free equilibrium is globally asymptotically stable whenever the control reproduction number is less than one. A unique endemic equilibrium is contained in the model, as evidenced by the determination of the existence of endemic equilibrium. The global asymptotic stability of the endemic equilibrium point has been determined by applying the non-linear Lyapunov function of the Go-Volterra type. The findings indicate that the endemic equilibrium point is globally asymptotically stable when the control reproduction number is greater than one and when both the disease-induced death and the control reproduction number are zero. In a sensitivity analysis section, we found that beta h\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\beta _h$$\end{document}, beta v\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\beta _v$$\end{document}, and a are the three most sensitive parameters for increasing the transmission. On the contrary, sigma 2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\sigma _2$$\end{document} and theta 1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\theta _1$$\end{document} are the two most sensitive for reducing the spread., In the numerical simulation section, we were able to see how important is awareness on the dynamics of trypanosomiasis or sleeping sickness, as it is in numerical simulation section, public awareness was simulated to assess its importance in controlling trypanosomiasis or sleeping sickness in the society.
Citation Count: 0
Impact of variable electrical conductivity, viscosity on convective heat and mass transfer flow of CuO- and Al₂O₃-water nanofluids in cylindrical annulus
(World Scientific Publ Co Pte Ltd, 2024) Reddy, Y. Madhusudhana; Ganteda, Charankumar; Sreedhar, S.; Himabindu, I. B. N.; Sulaiman, Tukur Abdulkadir; Obulesu, Mopuri; Uzun, Berna
In the food industry, electrical conductivity is essential for heating processes. The dependence on temperature conductivity of electricity on the outermost layers flow of the nanofluid is the main topic of this paper. Variable electrical conductivity, viscosity, thermo diffusion, thermal radiation and radiation absorption on convective heat and mass transfer flow Cuo and Al2O3-water nano-fluids confined in cylindrical annulus. The non-linear governing equations have been solved by finite element technique with quadratic approximation functions. For various parametric adjustments, the temperature, speed, and nanoconcentration have all been examined. Similar to the cylindrical wall, quantitative evaluations have been made of the surface resistance, temperature rate and mass transport. It is discovered that for both types of nanofluids, a higher thermo-diffusion effect leads to a lower concentration and Sherwood digits on the cylinders. An augment in Q1 enriches the rapidity in CuO-water nanofluidic system as well as decreases in Al2O3-water nanofluidic. Increased Q1 lowers the real temperature and nanoconcentration in both types of nanofluids.