Online ISSN: 2515-8260

### Keywords : Mathematical models

##### Current Mathematical Models and Numerical Simulation of SIR Model for Coronavirus Disease - 2019 (COVID-19)

M. Suba; R. Shanmugapriya; S. Balamuralitharan; G. Arul Joseph

European Journal of Molecular & Clinical Medicine, 2020, Volume 7, Issue 5, Pages 41-54

This paper deals with seven mathematical models within the current COVID-19
pandemic situations. We developed a number of mathematical models which are
compartment solutions of nonlinear differential equations. These models are useful for
research scholars, faculty members and academicians in the area of mathematical biology.
Also, we study these models and parameter estimation from real-world problem (data of
COVID-19 in World Health Organization (WHO)). The researchers discussed to analyze
the possible solutions of each model in the general discussion section. The researchers
recommended that at the end of the year 2020, there will be a reduction on the spread and
an increased recovery rate of COVID-19. These situations are fully changed and return to
the normal life very soon. In this paper to the researchers discuss the simple SIR model
compared to real-life data for COVID-19 pandemic in Tamilnadu by district wise. This
model helps to predict the future calculations of Susceptible, Infections, and Removed
people from the total population and reproduction number R0 . The researchers conclude
that the infection rate is increased for the next two months (September and October, 2020),
and death rate percentage is also possible to decrease from the number of total
populations. Also the researchers recommend the continuous lockdown for these two
months and for all people to follow the instruction given by the Tamilnadu Government.

##### INDUCTIVE ANGULAR ACCELERATION SENSOR FOR AUTOMATIC SPEED CONTROL SYSTEM OF TRAIN TRAFFIC

Khurshid Sattarov; Mamatkarim Sapaev; Mutabar Agzamova

European Journal of Molecular & Clinical Medicine, 2020, Volume 7, Issue 2, Pages 342-354

The article discusses the measurement of motion parameters (displacement, speed, acceleration, sharpness - changes in acceleration and vibration parameters) using a new inductive sensor of angular accelerations of the inertial principle of action with a ferromagnetic liquid and with advanced functionality as well as the analysis of its magnetic circuit and the main technical characteristics.

##### Tashkent state technical university (Uzbekistan)

Anvar Vosilovich Kabulov; Ibrokhimali Holmamatovich Normatov; Anvar Abduvokhidovich Karimov; Erkin Ravshanovich Navruzov

European Journal of Molecular & Clinical Medicine, 2020, Volume 7, Issue 2, Pages 758-771

The algorithm for constructing control models of complex systems should be based on the hypothesis that the research and control processes of complex systems are subject to a single technology. A comprehensive study of objects is needed, starting with preliminary study, obtaining adequate models, process algorithms, and ending with the creation of effective control systems. Therefore, the algorithmization of control processes using modern computer technology requires not only improved management at all levels, but also the creation of new effective methods for the rational and adequate description of objects of research, optimization and construction of a control algorithm. The general scheme of such an algorithmic approach is described below. In this paper, we give methods and models of algorithms that are of particular importance in the automation of all stages of system research and the construction of control algorithms. From this point of view, the research process of various objects should be divided into seven consecutive stages, which are a cybernetic chain with feedback. The paper also gives a formalized standard description based on function tables, an algorithmic method for solving the problems of managing complex systems based on algebra over function tables, and methods for synthesizing workplace complexes using production systems as an example.