In this correspondence, we analyzed the automata algorithm for relaxation labeling [ 11 for the case of symmetric compatibility functions. It is proved that starting with any initial label probabilities, the algorithm always converges to a consistent labeling. Further, all consistent unambiguous labelings are locally asymptotically stable. The algorithm analyzed in this correspondence has been ...

In this paper, we revisit a diffusive Leslie–Gower predator–preymodel with Holling-type II functional responses and Dirichlet boundary condition. It is shown that multiple positive steady state solutions exist under certain conditions on the parameters, while for another parameter region, the positive steady state solution is unique and locally asymptotically stable. Results are proved by using...

This paper presents a practical approach to output feedback adaptive control for robot manipulators. A novel approach is used to design the adaptive controller. Simulations and experimental results are used to demonstrate the effectiveness of the method. The approach to the controller design is based on ease of design and implementation and not on achieving theoretical stability results. Nevert...

In this paper, a sex-dependent matrix game haploid model is investigated. For this model, since the phenotypes of female and male individuals are determined by alleles located at a single locus and are sex dependent, any given genotype corresponds to a strategy pair. Thus, a strategy pair is an ESS if and only if the allele corresponding to this strategy pair cannot be invaded by any mutant all...

We present a generalization of Zubov’s method to perturbed differential equations. The goal is to characterize the domain of attraction of a set which is uniformly locally asymptotically stable under all admissible time varying perturbations. We show that in this general setting the straightforward generalization of the classical Zubov’s equations has a unique viscosity solution which character...

Abstract SEIR compartmental model for COVID-19 pandemic (SEIR_COVID) with exposed group is proposed and analysed in this paper. The steady state of determined to control the pandemic. Zero Disease equilibrium are presented SEIR_COVID model. In each case, prints locally asymptotically stable under certain conditions. Routh-Hurwitz criteria used study stability COVID-19. This showed that using wi...

We solve a conjecture on multiple nondegenerate steady states, and prove bistability for sequestration networks. More specifically, we that any odd number of species, production factor, the fully open extension network admits three positive two which are locally asymptotically stable. In addition, provide non-empty set in parameter space where bistability, present p...

This paper investigates the stability analysis of fuzzy relational dynamic systems. A new approach is introduced and a set of sufficient conditions is derived which sustains the unique globally asymptotically stable equilibrium point in a first-order fuzzy relational dynamic system with sumproduct fuzzy composition. This approach is also investigated for other types of fuzzy relational composit...

In this paper we present an endogenous growth model with productive public capital and pollution. As to pollution we assume that it is a by-product of aggregate production and that it negatively affects utility of the household but not production possibilities directly. The paper studies the dynamics of the model and demonstrates that there exists either a unique balanced growth path which is a...

In this article we study the metric property and the function theory of asymptotically locally Euclidean (ALE) Kähler manifolds. In particular, we prove the Ricci flatness under the assumption that the Ricci curvature of such manifolds is either nonnegative or nonpositive. The result provides a generalization of previous gap type theorems established by Greene and Wu, Mok, Siu and Yau, etc. It ...