Having attracted much attention in the past few years, predator-prey system provides a good mathematical model to present the correlation between predators and preys. This paper focuses on the robust stability of Lotka-Volterra predator-prey system with the fuzzy impulsive control model, and Takagi-Sugeno T-S fuzzy impulsive control model as well. Via the T-S model and the Lyapunov method, the ...

Finite-dimensional discrete-time Volterra models, also called truncated Volterra series expansions or non-recursive polynomial models, are now widely used in various fields of applications. Their usefulness is mainly due to their ability to approximate to an arbitrary accuracy any fading memory nonlinear system, and also to their property of linearity with respect to the parameters, the kernels...

We consider a three-dimensional discrete dynamical system that describes an application to economics of a generalization of the Lotka–Volterra prey–predator model. The dynamic model proposed is used to describe the interactions among industrial clusters (or districts), following a suggestion given by [23]. After studying some local and global properties and bifurcations in bidimensional Lotka–V...

Texture is an important characteristic di erentiating objects or regions of interest in an image. A variety of approaches to texture analysis has previously been proposed; the approach in this paper is from the stochastic eld, whereby a two-dimensional Volterra model is used to represent a texture eld. Statistical moments are introduced as a means of determining the Volterra model generator for...

This paper presents work done to utilize RADARSAT-1 synthetic aperture radar (SAR) data to reconstruct 3-D of coastal water front. The velocity bunching model was used to extract the significant wave height from RADARSAT-1 SAR, while the Volterra model was used to model the front movements. B-spline also was implemented to reconstruct the front into 3-D. This study shows that the integration be...

This paper proposes a recursive optimum-term selecting (ROS) approach to pruning the general Volterra series, by which we can achieve a custom-tailored model to characterize nonlinearity of wideband power amplifiers (PAs) with memory effects. The achieved model is more suitable for the individual PA than those static models, such as the MP and GMP models, as it selects the most efficient terms ...

This paper presents the results of a computational study that compares simulated compartmental (differential equation) and Volterra models of the dynamic effects of insulin on blood glucose concentration in humans. In the second modeling approach, we employ the general class of Volterra-type models that are estimated from input-output data, and in the first approach we employ the widely accepte...

The Volterra series model, though a popular tool in modeling many practical nonlinear systems, suffers from the problem of over-parameterization, as too many coefficients need to be identified, requiring very long data records. On the other hand, often it is observed that of all the model coefficients, only a few are prominent while the others are relatively insignificant. The sparsity inherent...

Key words and phrases: Lotka-Volterra model of 3-species, nonexistence of closed orbits, existence of nonconstant analytic rst integral, application of vector analysis, generalized May-Leonard model.