scholarly journals Mathematical analysis of tuberculosis control model using nonsingular kernel type Caputo derivative

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Saeed Ahmad ◽  
Rafi Ullah ◽  
Dumitru Baleanu
Keyword(s):  
Mathematical Model ◽  
Research Work ◽  
Control Model ◽  
Tuberculosis Control ◽  
Fixed Point Approach ◽  
Analytical Results ◽  
Adomian Decomposition ◽  
The Mathematical Model ◽  
Tuberculosis Disease ◽  
Kernel Type

AbstractThis research work investigates some theoretical and semi-analytical results for the mathematical model of tuberculosis disease via derivative due to Caputo and Fabrizio. The concerned derivative involves exponential kernel and very recently it has been adapted for various applied problems. The required results are established by using some fixed point approach of Krasnoselskii and Banach. Further, by the use of iterative tools of Adomian decomposition and Laplace, the semi-analytical results are studied. Some graphical results are given with discussion.

scholarly journals Possibilities of improving the TD88 atmospheric total density model

2010 ◽  
pp. 57-61
Author(s):  
S. Segan ◽  
D. Marceta
Keyword(s):  
Mathematical Model ◽  
Control Model ◽  
Density Model ◽  
Total Density ◽  
Polyharmonic Function ◽  
The Earth ◽  
The Mathematical Model

In this paper we have examined possibilities for preserving and improving the total density model of the Earth?s neutral thermosphere TD88 (Sehnal and Posp?silov? 1988) via modelling differences between TD88 and NRLMSISE-00 (Picone et al. 2002), which is used as a control model. It is shown that these residuals can be approximated with polyharmonic function. Starting from this we have developed the mathematical model of the residuals to identify their origin and possibilities to improve the TD88 model itself.

scholarly journals Motion Simulation for Triangular-Shaped Autonomous Underwater Vehicle (TAUV) with Controllable Rudder

2021 ◽  
Vol 2107 (1) ◽  
pp. 012046
Author(s):  
I Y Amran ◽  
K Isa
Keyword(s):  
Mathematical Model ◽  
Autonomous Underwater Vehicle ◽  
Research Work ◽  
Underwater Vehicle ◽  
Open Loop ◽  
Vehicle Speed ◽  
Motion Simulation ◽  
Loop Control ◽  
Angular Velocities ◽  
The Mathematical Model

Abstract The dynamic model and motion simulation for a Triangular-Shaped Autonomous Underwater Vehicle (TAUV) with independently controlled rudders are described in this paper. The TAUV is designed for biofouling cleaning in aquaculture cage fishnet. It is buoyant underwater and moves by controlling two thrusters. Hence, in this research work, the authors designed a TAUV that is propelled by two thrusters and maneuvered by using an independently controllable rudder. This paper discussed the development of a mathematical model for the TAUV and its dynamic characteristics. The mathematical model was simulated by using Matlab and Simulink to analyze the TAUV’s motion based on open-loop control of different rudder angles. The position, linear and angular velocities, angle of attack, and underwater vehicle speed are all demonstrated in the findings.

Research of Optimal Control Model with Multiple Inputs and Multiple Outputs Based on Logic Algebra

2012 ◽  
Vol 214 ◽  
pp. 775-779
Author(s):  
Yi Chun Ling
Keyword(s):  
Mathematical Model ◽  
Optimal Control ◽  
Control System ◽  
Computer Control ◽  
Control Model ◽  
Computer Control System ◽  
Control Laws ◽  
Multiple Outputs ◽  
The Mathematical Model ◽  
Controlled Object

Through the study of computer control system, article puts forward a mathematical model in the computer control system which controlled object is digital, and describes the mathematical model through logic algebra to form a set of method solving optimal index control laws which has the characters of easy to understand and easy to operate.

scholarly journals A Probabilistic Analysis of Path Duration Using Routing Protocol in VANETs

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Ram Shringar Rao ◽  
Sanjay Kumar Soni ◽  
Nanhay Singh ◽  
Omprakash Kaiwartya
Keyword(s):  
Mathematical Model ◽  
Routing Protocol ◽  
Delivery Ratio ◽  
Estimation Model ◽  
Routing Metrics ◽  
Analytical Results ◽  
Path Duration ◽  
Result Analysis ◽  
Duration Estimation ◽  
The Mathematical Model

In recent years, various routing metrics such as throughput, end-to-end delay, packet delivery ratio, path duration, and so forth have been used to evaluate the performance of routing protocols in VANETs. Among these routing metrics, path duration is one of the most influential metrics. Highly mobile vehicles cause frequent topology change in vehicular network environment that ultimately affects the path duration. In this paper, we have derived a mathematical model to estimate path duration using border node-based most forward progress within radius (B-MFR), a position based routing protocol. The mathematical model for estimation of path duration consists of probability of finding next-hop node in forwarding region, estimation of expected number of hops, probability distribution of velocity of nodes, and link duration between each intermediate pair of nodes. The analytical results for the path duration estimation model have been obtained using MATLAB. The model for path duration estimation has been simulated in NS2. Each of the analytical results has been verified through respective simulation results. The result analysis clearly reveals that path duration increases with the increase in transmission range and node density and decreases with the increase in the number of hops in the path and velocity of the nodes.

Optimal Production Planning for a Random Horizon

2015 ◽  
Vol 791 ◽  
pp. 63-69
Author(s):  
Arkadiusz Gola ◽  
Edward Kozłowski
Keyword(s):  
Mathematical Model ◽  
Production Control ◽  
Planning Horizon ◽  
Control Model ◽  
Planning Period ◽  
Manufacturing Costs ◽  
Optimal Production ◽  
Random Horizon ◽  
The Mathematical Model ◽  
Random Planning Horizon

The article presents the mathematical model of production control for a random planning horizon. The model assumes that the horizon of control is unknown and connected with reliability of machines, which are used for production. The aim of the control model is to determine the number of products which should be manufactured in each planning period to minimize both manufacturing costs and potential financial penalties for failing to fulfill the order completely.

scholarly journals Qualitative Analysis of a Mathematical Model in the Time of COVID-19

2020 ◽  
Vol 2020 ◽  
pp. 1-11 ◽  
Author(s):  
Kamal Shah ◽  
Thabet Abdeljawad ◽  
Ibrahim Mahariq ◽  
Fahd Jarad
Keyword(s):  
Mathematical Model ◽  
Qualitative Analysis ◽  
Existence And Uniqueness ◽  
Fixed Point Theory ◽  
Sufficient Conditions ◽  
Adomian Decomposition Method ◽  
Approximate Solutions ◽  
Point Theory ◽  
Adomian Decomposition ◽  
The Mathematical Model

In this article, a qualitative analysis of the mathematical model of novel corona virus named COVID-19 under nonsingular derivative of fractional order is considered. The concerned model is composed of two compartments, namely, healthy and infected. Under the new nonsingular derivative, we, first of all, establish some sufficient conditions for existence and uniqueness of solution to the model under consideration. Because of the dynamics of the phenomenon when described by a mathematical model, its existence must be guaranteed. Therefore, via using the classical fixed point theory, we establish the required results. Also, we present the results of stability of Ulam’s type by using the tools of nonlinear analysis. For the semianalytical results, we extend the usual Laplace transform coupled with Adomian decomposition method to obtain the approximate solutions for the corresponding compartments of the considered model. Finally, in order to support our study, graphical interpretations are provided to illustrate the results by using some numerical values for the corresponding parameters of the model.

scholarly journals INVESTIGATION OF DYNAMIC MODELS OF INDEPENDENTLY ROTATING WHEELS OF WAGONS

Transport ◽  
2004 ◽  
Vol 19 (1) ◽  
pp. 28-31 ◽  
Author(s):  
Gintautas Bureika ◽  
Leonas Povilas Lingaitis ◽  
Šarūnas Mikaliūnas
Keyword(s):  
Mathematical Model ◽  
Dynamic Models ◽  
Lateral Displacement ◽  
Research Work ◽  
Rolling Stock ◽  
Rolling Surface ◽  
Wheel Rolling ◽  
The Stability ◽  
The Mathematical Model

The article deals with the modelling of independently rotating wheels (IRW) systems for wagons. The research work of the intensity of rolling stock wheels rims and flanges is observed. The main performance objectives of IRW are to reduce winding of wheel‐sets, to enable railway rolling stocks to achieve higher speeds, to decrease wear of rail and wheel rolling surface, to improve the performance on railway curves and to reduce lateral displacement on rails. IRW with profiled tread are examined and the mathematical model of these IRW is created. Finally, the peculiarities of the stability and wearing characteristics of such IRW systems are presented.

Study on Mathematical Model of Temperature Field in the Laser Welding Process

2010 ◽  
Vol 426-427 ◽  
pp. 89-92
Author(s):  
Hong Feng Wang ◽  
Dun Wen Zuo ◽  
Ming Min Huang ◽  
Hong Miao
Keyword(s):  
Mathematical Model ◽  
Temperature Field ◽  
Temperature Distribution ◽  
Heat Source ◽  
Laser Welding ◽  
Welding Process ◽  
Actual Process ◽  
Analytical Results ◽  
The Mathematical Model ◽  
Laser Welding Process

From the laser welding actual process, the welding heat source model of laser welding process was established, that is, superposition heat source. According to the knowledge of thermodynamics, the establishment of a welding process, the mathematical model of temperature distribution of laser welding process was obtained by laser welding heat source. Finally, the finite element simulation of welding temperature distribution was used. The simulated results were compared with the analytical results of mathematical model of temperature field, it was proved consistent between simulated results and analytical results, at the same time it can account for the correctness of the mathematical model of temperature field.

Mathematical Model of the Painting Robot

2016 ◽  
Vol 843 ◽  
pp. 72-80 ◽  
Author(s):  
Michal Bruzl ◽  
Vyacheslav Usmanov ◽  
Pavel Svoboda ◽  
Rostislav Šulc
Keyword(s):  
Mathematical Model ◽  
Optimal Trajectory ◽  
Research Work ◽  
Robotic Arm ◽  
3D Space ◽  
Painting Robot ◽  
The Mathematical Model ◽  
Work First ◽  
Selection Of

The main objective of the research work was to construct a techno-mathematical model of the robotic arm for conducting painting work, which would streamline the speed and quality of work performed with respect to material savings. For research we chose a robotic arm that is commonly used in industrial production, and adapted it for our conditions. The mathematical model is designed to find the optimal trajectory for moving the robotic arm, where the emphasis is placed on minimizing the path length of motion of the robot ́s endpoint, thus reducing overall energy consumption for the building work. First, the optimal mathematical modeling method was chosen, it was selected according to conditions and parameters of the robotic arm. Thanks to the applied method we picked the software that helped to create the algorithm. Subsequently, a computer simulation and calculation of the optimal motion using a combination of virtual circles, sine and cosine theorem, was done. Further, we checked all relevant angles and calculation of the robotic arm rotation in space for each admissible variant. The last step was the selection of the optimal trajectory of the robotic arm in 3D space.

scholarly journals Assembly and implementation of modular quadrupedal architecture

2019 ◽  
Vol 13 (2) ◽  
pp. 280-288
Author(s):  
Vanessa Cruz Carbonell ◽  
Ricardo Andrés Castillo-Estepa
Keyword(s):  
Mathematical Model ◽  
Degrees Of Freedom ◽  
Research Work ◽  
Robotic System ◽  
Frequency Variation ◽  
Movement Frequency ◽  
The Mathematical Model

This paper describes the assembling process of a quadrupedal architecture using the modular robotic system Mecabot. Several possible topologies are addressed to finally opt for a design that allows the use of an active column. Based on this, the mathematical model of the control is proposed to perform the movements of displacement, open turn and rotation. The locomotion profiles for these first two movement modalities are bio-inspired. For the rotation modality, a characteristic quadrupedal robot transition is used to allow the correct rotation execution without using a great number of degrees of freedom. The robot is tested on structured and unstructured terrains by measuring its speed in function of the movement frequency variation. For the open turn modality, the described circumference radius is measured in function of the offset variation. With the tests, the second Mecabot configuration with legs is finally obtained complementing the research work carried out for apodal configurations (snake, wheel caterpillar) and hexapod.

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