scholarly journals Analytical Study and Numerical Solutions of Bird Flu Epidemic Model with Vaccination

2020 ◽  
Author(s):  
Arrival Putri ◽  
Mahdhivan Syafwan
Keyword(s):  
Epidemic Model ◽  
Analytical Study ◽  
Numerical Solutions ◽  
Bird Flu

scholarly journals An unconditionally positive and global stability preserving NSFD scheme for an epidemic model with vaccination

2014 ◽  
Vol 24 (3) ◽  
pp. 635-646 ◽  
Author(s):  
Deqiong Ding ◽  
Qiang Ma ◽  
Xiaohua Ding
Keyword(s):  
Numerical Simulation ◽  
Global Stability ◽  
Difference Equations ◽  
Epidemic Model ◽  
Lyapunov Functions ◽  
Numerical Solutions ◽  
Time Step ◽  
The Stability ◽  
Nsfd Scheme ◽  
Nonstandard Finite Difference

Abstract In this paper, a NonStandard Finite Difference (NSFD) scheme is constructed, which can be used to determine numerical solutions for an epidemic model with vaccination. Here the NSFD method is employed to derive a set of difference equations for the epidemic model with vaccination. We show that difference equations have the same dynamics as the original differential system, such as the positivity of the solutions and the stability of the equilibria, without being restricted by the time step. Our proof of global stability utilizes the method of Lyapunov functions. Numerical simulation illustrates the effectiveness of our results

scholarly journals An Analytical Study of Adversely Affecting Radiation and Temperature Parameters on a Magnetohydrodynamic Elasto-viscous Fluid

2019 ◽  
Vol 24 (1) ◽  
pp. 31
Author(s):  
Nazish Shahid
Keyword(s):  
Viscous Fluid ◽  
Analytical Study ◽  
Numerical Solutions ◽  
Variable Temperature ◽  
Infinite Plate ◽  
Flow Speed ◽  
Inverse Laplace Transform ◽  
Diffusion Effects ◽  
Radiative Diffusion ◽  
Fluid Parameters

An investigation of how the velocity of elasto-viscous fluid past an infinite plate, with slip and variable temperature, is influenced by combined thermal-radiative diffusion effects has been carried out. The study of dynamics of a flow model leads to the generation of characteristic fluid parameters ( G r , G m , M, F, S c and P r ). The interaction of these parameters with elasto-viscous parameter K ′ is probed to describe how certain parametric range and conditions could be pre-decided to enhance the flow speed past a channel. In particular, the flow dynamics’ alteration in correspondence to the slip parameter’s choice, along with temperature provision to the boundary in temporal pattern, is determined through uniquely calculated exact expressions of velocity, temperature and mass concentration of the fluid. The complex multi-parametric model has been analytically solved using the Laplace and Inverse Laplace transform. Through study of calculated exact expressions, an identification of variables, adversely (M, F, S c and P r ) and favourably ( G r and G m ) affecting the flow speed and temperature has been made. The accuracy of our results have also been tested by computing matching numerical solutions and by graphical reasoning. The verification of existing results of Newtonian fluid with varying boundary condition of velocity and temperature has also been completed, affirming the veracity of present results.

Conformable Fractional SEIR Epidemic Model With Treatment

2021 ◽  
Vol 14 ◽  
Author(s):  
Arti Malik ◽  
Nitendra Kumar ◽  
Khursheed Alam
Keyword(s):  
Differential Equation ◽  
Numerical Simulation ◽  
Asymptotic Stability ◽  
Epidemic Model ◽  
Analytical Study ◽  
Equilibrium Points ◽  
Treatment Modalities ◽  
Local Asymptotic Stability ◽  
Fractional Differential ◽  
Disease Free

Background: The present paper is based on models of conformable fractional differential equation to describe the dynamics of certain epidemics. Methods: In this paper we have divided the population in the susceptible, exposed, infectious, recovered and also describe the treatment modalities. Results: The analytical study of the model show two equilibrium points (disease free equilibrium and endemic equilibrium). Conclusion: For both cases local asymptotic stability has been proven. In the conclusion we have presented the numerical simulation.

scholarly journals A Reliable Iterative Transform Method for Solving an Epidemic Model

2021 ◽  
pp. 4839-4846
Author(s):  
Reem Waleed Huisen ◽  
Sinan H. Abd Almjeed ◽  
Areej Salah Mohammed
Keyword(s):  
Epidemic Model ◽  
Analytic Solution ◽  
Numerical Solutions ◽  
Absolute Error ◽  
Maximum Error ◽  
Disease Spread ◽  
Approximate Analytic Solution ◽  
Transform Method ◽  
Epidemic Period ◽  
The Laplace Transform

    The main purpose of the work is to apply a new method, so-called LTAM, which couples the Tamimi and Ansari iterative method (TAM) with the Laplace transform (LT). This method involves solving a problem of non-fatal disease spread in a society that is assumed to have a fixed size during the epidemic period. We apply the method to give an approximate analytic solution to the nonlinear system of the intended model. Moreover, the absolute error resulting from the numerical solutions and the ten iterations of LTAM approximations of the epidemic model, along with the maximum error remainder, were calculated by using MATHEMATICA® 11.3 program to illustrate the effectiveness of the method.

USEIRS model for the contagion of individual aggressive behavior under emergencies

SIMULATION ◽  
2012 ◽  
Vol 88 (12) ◽  
pp. 1456-1464 ◽  
Author(s):  
Laijun Zhao ◽  
Jingjing Cheng ◽  
Ying Qian ◽  
Qin Wang
Keyword(s):  
Aggressive Behavior ◽  
Dynamic Model ◽  
Epidemic Model ◽  
General Public ◽  
Numerical Solutions ◽  
Government Officials ◽  
The Public ◽  
Number Of Individuals ◽  
Behavior Contagion

Individual aggressive behavior under emergencies is contagious, and often leads to collective aggressive behavior. In this paper, we apply the epidemic model to investigate the contagion of individual aggressive behavior under emergencies, extending the SEIRS (Susceptible–Exposed–Infected–Recovered–Susceptible) model by adding a new group of people – uninducible individuals. Thus, a new dynamic model USEIRS (Uninducible–Susceptible–Exposed–Infected–Recovered–Susceptible) is developed. The threshold of individual aggressive behavior contagion is deduced from the USEIRS model through the analysis of the eliminating and prevailing stabilities and equilibrium of aggressive behavior contagion. The numerical solutions of the USEIRS model show that a higher number of initial uninducible individuals can reduce the number of people with aggressive behavior. However, the decrease in the number of aggressive individuals will be insignificant if the uninducible individuals have little influence on the public. A higher uninducible rate can reduce the number of individuals with aggressive behavior. However, some people will still inevitably behave aggressively at the beginning. The effect of higher uninducible rate has an accelerating feature, which becomes more obvious with the development of emergency. Providing information and education to increase the uninducible population, or more communication between experts, government officials and the general public to increase the uninducible rate are strategies for reducing individual aggressive behavior.

Analytical study of the vibrating double-sided quintic nonlinear nano-torsional actuator using higher-order Hamiltonian approach

2021 ◽  
pp. 146134842110320
Author(s):  
Gamal Mohamed Ismail ◽  
Mahmoud Abul-Ez ◽  
Hijaz Ahmad ◽  
Nadia Mohamed Farea
Keyword(s):  
Analytical Study ◽  
Homotopy Perturbation Method ◽  
Numerical Solutions ◽  
Approximate Solutions ◽  
Higher Order ◽  
Second Order ◽  
Hamiltonian Approach ◽  
Homotopy Perturbation ◽  
The Relationship ◽  
Better Than

In this work, we investigate and apply higher-order Hamiltonian approach (HA) as one of the novelty techniques to find out the approximate analytical solution for vibrating double-sided quintic nonlinear nano-torsional actuator. Periodic solutions are analytically verified, and consequently, the relationship between the initial amplitude and the natural frequency are obtained in a novel analytical way. The HA is then extended to the second-order to find more accurate results. To show the accuracy and applicability of the technique, the approximated results are compared with the homotopy perturbation method and numerical solution. According to the numerical results, it is highly remarkable that the second-order approximate solutions produce better than previously existing results and almost similar in comparing with the numerical solutions.

Computer-Aided Study of Journal Bearings With Undulating Surfaces

1984 ◽  
Vol 106 (4) ◽  
pp. 468-472 ◽  
Author(s):  
M. O. A. Mokhtar ◽  
W. Y. Aly ◽  
G. S. A. Shawki
Keyword(s):  
Finite Length ◽  
Digital Computer ◽  
Wave Amplitude ◽  
Analytical Study ◽  
Journal Bearing ◽  
Numerical Solutions ◽  
Journal Bearings ◽  
Eccentricity Ratio ◽  
Load Line ◽  
Computer Aided

This paper presents the results of an analytical study of the performance of a cylindrical journal bearing of finite length as influenced by undulations intentionally produced on the surface. With the aid of a digital computer, the analysis has been applied to some common cases to obtain relevant numerical solutions. Compared with journal bearings having perfectly smooth surfaces, wavy bearings may well run at lower values of journal eccentricities and attitude angles. Wavy bearings may thus operate with higher safety. It is herein also established that, with load criterion as parameter, the higher the wave amplitude ac and the number of waves along the bearing circumference nc, the lower would be the eccentricity ratio. Moreover, when running at same eccentricity, higher values of ac and nc show a tendency of the journal center to move closer to the load line, thus leading to lower attitude angles.

scholarly journals Approximate Solutions of Nonlinear Smoking Habit Model

2020 ◽  
pp. 435-443
Author(s):  
Mahdi A. Sabaa ◽  
Maha A. Mohammed
Keyword(s):  
Finite Difference ◽  
Initial Value Problem ◽  
Epidemic Model ◽  
Numerical Solutions ◽  
Smoking Habit ◽  
Approximate Solutions ◽  
Initial Value ◽  
Difference Measure ◽  
Adomian Decomposition ◽  
Measure Error

     The work in this paper focuses on solving numerically and analytically a  nonlinear social epidemic model that represents an initial value problem  of ordinary differential equations. A recent moking habit model from Spain is applied and studied here. The accuracy and convergence of the numerical and approximation results are investigated for various methods; for example, Adomian decomposition, variation iteration, Finite difference and Runge-Kutta. The discussion of the present results has been tabulated and graphed. Finally, the comparison between the analytic and numerical solutions from the period 2006-2009 has been obtained by absolute and difference measure error.

scholarly journals Fluid–particle dynamics in canalithiasis

2008 ◽  
Vol 5 (27) ◽  
pp. 1215-1229 ◽  
Author(s):  
Dominik Obrist ◽  
Stefan Hegemann
Keyword(s):  
Fluid Flow ◽  
Analytical Study ◽  
Numerical Solutions ◽  
Clinical Symptoms ◽  
Semicircular Canals ◽  
Head Movements ◽  
Dimensionless Numbers ◽  
Positional Vertigo ◽  
Linearized Model ◽  
Paroxysmal Positional Vertigo

The semicircular canals (SCCs; located in the inner ear) are the primary sensors for angular motion. Angular head movements induce a fluid flow in the SCCs. This flow is detected by afferent hair cells inside the SCCs. Canalithiasis is a condition where small particles disturb this flow, which leads to benign paroxysmal positional vertigo (top-shelf vertigo). The present work investigates the interaction between the fluid flow and the particles on the basis of an idealized analytical model. Numerical solutions of the full model and a thorough analytical study of the linearized model reveal the principal mechanisms of canalithiasis. We propose a set of dimensionless numbers to characterize canalithiasis and derive explicit expressions connecting these dimensionless numbers directly to the typical clinical symptoms.

Sign in / Sign up

Export Citation Format

Share Document