scholarly journals Combination anti-coronavirus therapies based on nonlinear mathematical models

2021 ◽  
Vol 31 (2) ◽  
pp. 023136
Author(s):  
J. A. González ◽  
Z. Akhtar ◽  
D. Andrews ◽  
S. Jimenez ◽  
L. Maldonado ◽  
...  
Keyword(s):  
Mathematical Models ◽  
Nonlinear Mathematical Models

scholarly journals Solitary Wave Solution of Nonlinear PDEs Arising in Mathematical Physics

Open Physics ◽  
2019 ◽  
Vol 17 (1) ◽  
pp. 381-389
Author(s):  
Attia Rani ◽  
Nawab Khan ◽  
Kamran Ayub ◽  
M. Yaqub Khan ◽  
Qazi Mahmood-Ul-Hassan ◽  
...  
Keyword(s):  
Solitary Wave ◽  
Mathematical Models ◽  
Solitary Wave Solution ◽  
Nonlinear Differential Equations ◽  
Soliton Solutions ◽  
Nonlinear Pdes ◽  
Wave Transformation ◽  
Soliton Theory ◽  
Nonlinear Mathematical Models ◽  
Expansion Technique

Abstract The solution of nonlinear mathematical models has much importance and in soliton theory its worth has increased. In the present article, we have investigated the Caudrey-Dodd-Gibbon and Pochhammer-Chree equations, to discuss the physics of these equations and to attain soliton solutions. The exp(−ϕ(ζ ))-expansion technique is used to construct solitary wave solutions. A wave transformation is applied to convert the problem into the form of an ordinary differential equation. The drawn-out novel type outcomes play an essential role in the transportation of energy. It is noted that in the study, the approach is extremely reliable and it may be extended to further mathematical models signified mostly in nonlinear differential equations.

INDUSTRIAL POLLUTION AND ASTHMA: A MATHEMATICAL MODEL

2000 ◽  
Vol 08 (04) ◽  
pp. 347-371 ◽  
Author(s):  
MINI GHOSH
Keyword(s):  
Mathematical Model ◽  
Computer Simulation ◽  
Differential Equations ◽  
Mathematical Models ◽  
Stability Theory ◽  
Industrial Pollution ◽  
Air Pollutant ◽  
Logistic Growth ◽  
Nonlinear Mathematical Models

In this paper, some nonlinear mathematical models are proposed and analyzed to study the spread of asthma due to inhaled pollutants from Industry. The following two types of demographics are considered here; (i) population with constant immigration, (ii) population with logistic growth. In each type of demography, the following three cases have been considered regarding the release of pollutant into the environment; (i) when emission of the pollutant into the environment is constant, (ii) when emission of the pollutant is population dependent, and (iii) when emission of the pollutant is periodic. Using stability theory of differential equations and computer simulation, it is shown that due to an increase in the air pollutant, the asthmatic (diseased) population increases in the region under consideration.

scholarly journals Asymptotic Properties of One Mathematical Model in Food Engineering under Stochastic Perturbations

Mathematics ◽  
2021 ◽  
Vol 9 (23) ◽  
pp. 3013
Author(s):  
Leonid Shaikhet
Keyword(s):  
Mathematical Model ◽  
Mathematical Models ◽  
Numerical Simulations ◽  
Wide Class ◽  
Asymptotic Properties ◽  
Nonlinear Mathematical Model ◽  
Simple Criterion ◽  
Stochastic Perturbations ◽  
Food Engineering ◽  
Nonlinear Mathematical Models

For the example of one nonlinear mathematical model in food engineering with several equilibria and stochastic perturbations, a simple criterion for determining a stable or unstable equilibrium is reported. The obtained analytical results are illustrated by detailed numerical simulations of solutions of the considered Ito stochastic differential equations. The proposed criterion can be used for a wide class of nonlinear mathematical models in different applications.

Nonlinear mathematical models of heat transfer in the presence of strong energy fluxes

1987 ◽  
Vol 22 (6) ◽  
pp. 571-575
Author(s):  
Yu. I. Shvets ◽  
N. M. Fialko ◽  
G. P. Sherenkovskaya ◽  
N. O. Meranova ◽  
V. S. Kovalenko ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Mathematical Models ◽  
Energy Fluxes ◽  
Strong Energy ◽  
Nonlinear Mathematical Models

scholarly journals Analysis of modern modeling methods in problems of stabilization of motions of mechatronic systems with differential constraints

2018 ◽  
Vol 7 (2.23) ◽  
pp. 9
Author(s):  
Krasinskiy A.Ya ◽  
Krasinskaya E.M.
Keyword(s):  
Mathematical Model ◽  
Mathematical Models ◽  
Operating Mode ◽  
Mechatronic Systems ◽  
Natural Behavior ◽  
Holonomic Constraints ◽  
Operating Modes ◽  
Modeling Methods ◽  
Nonlinear Mathematical Models ◽  
Steady Motions

The most important problem of controlling mechatronic systems is the development of methods for the fullest possible application of the properties of our own (without the application of controls) motions of the object for the optimal use of all available resources. The basis of this can be a non-linear mathematical model of the object, which allows to determine the degree of minimally necessary interference in the natural behavior of an object with the purpose of stable implementation of a given operating mode. The operating modes of the vast majority of modern mechatronic systems are realized due to the steady motions (equilibrium positions and stationary motions) of their mechanical components, and often these motions are constrained by connections of various kinds. The paper gives an analysis of methods for obtaining nonlinear mathematical models in stabilization problems of mechanical systems with differential holonomic and non-holonomic constraints. 

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