Modern Problems of Mathematical Physics and Their Applications

• Published in: Axioms Vol. 11; no. 2; p. 45
• Main Authors: Juraev, Davron Aslonqulovich, Noeiaghdam, Samad
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.01.2022
• Subjects: Autoimmune diseases; Brownian motion; Correlation coefficients; Immune system; Integral equations; n/a; Network topologies; Ordinary differential equations; Partial differential equations; Physics; Propagation; Public opinion; Simulation; Viruses
• ISSN: 2075-1680; 2075-1680
• DOI: 10.3390/axioms11020045

Introduction There are many applications of mathematical physics in several fields of basic science and engineering. [...]we have tried to provide the Special Issue “Modern Problems of Mathematical Physics and Their Applications” to cover the new advances of mathematical physics and its applications. [...]the initial public opinion variation mechanism was introduced to reveal the formation process of derived subtopics, then Brownian motion was used to determine the subtopic propagation parameters, and their propagation was studied based on complex network dynamics according to the principle of evolution. [...]through simulation experiments, the influences of various factors, such as the degree of information alienation, environmental forces, topic correlation coefficients, the amount of information contained in subtopics, and network topology on the formation of multi-dimensional public opinion have been studied by the authors. The model provided a real understanding of the transmission dynamics and other significant factors of the virus-infected disease and the body’s immune system subject to the time delay, including approaches to reduce the growth rate of virus-infected cells and the autoimmune disease and also enhance the immune effector cells.