The aim of this paper is to study the local stability of discrete epidemic models with specific nonlinear incidence rate. So, we establish criteria on local stability of the disease-free equilibrium, furthermore, using Schur-Cohn Criterion, important criterion on local stability of endemic equilibrium is also determined.

there are two significant goals in teleoperation systems: stability and performance. this paper introduces an lmi-based robust control method for bilateral transparent teleoperation systems in presence of model mismatch. the uncertainties in time delay in communication channel, task environment and model parameters of master-slave systems is called model mismatch. the time delay in communicatio...

The non-local hyperbolic partial differential equations have many applications in sciences and engineering. A collocation finite element approach based on exponential cubic B-spline and quintic B-spline are presented for the numerical solution of the wave equation subject to nonlocal boundary condition. Von Neumann stability analysis is used to analyze the proposed methods. The efficiency, accu...

In this paper, control of a non-isothermal continuous stirred tank reactor in which two parallel autocatalytic reactions take place has been addressed. The reactor shows chaotic behavior for a certain set of reactor parameters. In order to control the product concentration, an optimal state feedback controller has been designed. Since concentrations of reactor species are ...

Variability in kinematic and spatio-temporal gait parameters has long been equated with stability and used to differentiate fallers from non-fallers. Recently, a mathematically rigorous measure of local dynamic stability has been proposed based on the non-linear dynamics theory to differentiate fallers from non-fallers. This study investigated whether the assessment of local dynamic stability c...