•Journal•ISSN: 1392-5113
Nonlinear Analysis-Modelling and Control
Elsevier BV
About: Nonlinear Analysis-Modelling and Control is an academic journal published by Elsevier BV. The journal publishes majorly in the area(s): Nonlinear system & Boundary value problem. It has an ISSN identifier of 1392-5113. It is also open access. Over the lifetime, 874 publications have been published receiving 10435 citations.
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TL;DR: In this article, an SIRS epidemic model with saturated incidence rate and disease-inflicted mortality was presented, and the global stability of the endemic equilibrium state was proved by constructing a Lyapunov function.
Abstract: We present in this paper an SIRS epidemic model with saturated incidence rate and disease-inflicted mortality. The Global stability of the endemic equilibrium state is proved by constructing a Lyapunov function. For the stochastic version, the global existence and positivity of the solution is showed, and the global stability in probability and pth moment of the system is proved under suitable conditions on the intensity of the white noise perturbation.
158 citations
TL;DR: In this paper, the Dufour and Soret effects on mixed convection flow past a vertical porous flat plate embedded in a porous medi um have been studied numerically and the governing non-linear partial differential equations have been transformed by a similarity transformation into a system of ordinary differential equations, which are solved numerically by applying Nachtsheim- Swigert iteration technique together with sixth order Runge-Kutta integration scheme.
Abstract: In this paper the Dufour and Soret effects on mixed convection flow past a vertical porous flat plate embedded in a porous medi um have been studied numerically. The governing non-linear partial differential equations have been transformed by a similarity transformation into a system of ordinary differential equations, which are solved numerically by applying Nachtsheim- Swigert shooting iteration technique together with sixth order Runge-Kutta integration scheme. For fluids of medium molecular weight (H2, air), profiles of the dimensionless velocity, temperature and concentration distributions are shown graphically for various values of suction parameter fw, Dufour number Du and Soret number Sr. Finally, numerical values of physical quantities, such as the local skin-friction coefficient, the local Nusse lt number and the local Sherwood number are presented in tabular form.
130 citations
TL;DR: In this article, the authors considered steady, laminar, MHD flow of a micropolar fluid past a stretched semi-infinite, vertical and permeable surface in the presence of temperature dependent heat generation or absorption, magnetic field and thermal radiation effects.
Abstract: This work considers steady, laminar, MHD flow of a micropolar fluid past a stretched semi-infinite, vertical and permeable surface in the presence of temperature- dependent heat generation or absorption, magnetic field and thermal radiation effects. A set of similarity parameters is employed to convert the governing partial differential equations into ordinary differential equations. The obtai ned self-similar equations are solved numerically by an efficient implicit, iterative, fini te-difference method. The obtained results are checked against previously published work for special cases of the problem in order to access the accuarcy of the numerical method and found to be in excellent agreement. A parametric study illustrating the i nfluence of the various physical parameters on the skin friction coefficient, microrotaion c oefficient or wall couple stress as well as the wall heat transfer coefficient or Nusselt numbe r is conducted. The obtained results are presented graphically and in tabular form and the physical aspects of the problem are discussed.
125 citations
TL;DR: By means of inequality analysis technique and Lyapunov function method, some novel fixed-time stability criteria for the addressed neural networks are derived in terms of linear matrix inequalities (LMIs) which can be estimated without depending on any initial conditions but only on the designed controllers.
Abstract: This paper is concerned with the fixed-time stability of delayed neural networks with impulsive perturbations. By means of inequality analysis technique and Lyapunov function method, some novel fixed-time stability criteria for the addressed neural networks are derived in terms of linear matrix inequalities (LMIs). The settling time can be estimated without depending on any initial conditions but only on the designed controllers. In addition, two different controllers are designed for the impulsive delayed neural networks. Moreover, each controller involves three parts, in which each part has different role in the stabilization of the addressed neural networks. Finally, two numerical examples are provided to illustrate the effectiveness of the theoretical analysis.
105 citations
TL;DR: In this article, uniqueness results for boundary value problem of fractional differential equation are obtained using both the Banach's contraction mapping principle and the theory of linear operator, and a comparison between the obtained results is provided.
Abstract: In this paper, uniqueness results for boundary value problem of fractional differential equation are obtained. Both the Banach's contraction mapping principle and the theory of linear operator are used, and a comparison between the obtained results is provided.
105 citations