The present paper brings out a mathematical model of Ammensal-enemy both immigrated species pair with limited resources. This model is built by a couple of first order non-linear ordinary differential equations. One and only one equilibrium point of this model is traced and the stability criteria at this equilibrium point are derived. Solutions for the linearized perturbed equations are ascerta...

This paper examines a model of multi-jurisdiction formation where individuals’ characteristics are uniformly distributed over a finite interval. Every jurisdiction locates a public facility and distributes its cost equally among the residents. We consider two notions of stability: Nash stability and its refinement local Nash stability, and examine the existence and characterization of stable pa...

‎In this paper‎, ‎first we discuss a local stability analysis of model was introduced by P‎. ‎J‎. ‎Mumby et‎. ‎al‎. ‎(2007)‎, ‎with $frac{gM^{2}}{M+T}$ as the functional response term‎. ‎We conclude that the grazing intensity is the important parameter to control the existence or extinction of the coral reef‎. ‎Next‎, ‎we consider this model under the influence of the time delay as the bifurcat...

Recommended by Jianshe Yu It is supposed that the fractional difference equation xn 1 μ ∑k j 0ajxn−j / λ ∑k j 0bjxn−j , n 0, 1, . . . , has an equilibrium point x̂ and is exposed to additive stochastic perturbations type of σ xn − x̂ ξn 1 that are directly proportional to the deviation of the system state xn from the equilibrium point x̂. It is shown that known results in the theory of stability o...

rock slope stability depends very much on the strength features of the rock and the geometrical and strength characteristics of the discontinuities (e.g., roughness, wall strength and persistence). since a rock mass is not a continuum, its behavior is dominated by such discontinuities as faults, joints and bedding planes. also, rock slope instability is a major hazard for human activities and o...

In this paper, we present a new result that allows for studying the global stability of disease-free equilibrium point when basic reproduction number is less than 1, in fractional calculus context. The method only involves linear algebra and can be easily applied to study asymptotic stability. After proving some auxiliary lemmas involving Mittag–Leffler function, main paper. Under assumptions, ...

This paper is devoted to studying both the global and local stability of dynamical neural networks. In particular, it has focused on nonlinear neural networks with perturbation. Properties relating to asymptotic and exponential stability and instability have been detailed. This paper also looks at the robustness of neural networks to perturbations and examines if the related properties have bee...

In this work, we consider a graphene-like background in braneworld scenario which is one of the interesting models in cosmology and theoretical physics. Indeed, this paper is an application of holography in condense matter. We use the geometric form of potential which help to obtain field equations and solve it to obtain the energy spectrum. In that case we calculate superpotential and energy d...

We study the relation between the stability of a competitive equilibrium (CE) and the price adjustment mechanism used to attain that equilibrium point. Using two specific examples, a three-commodity exchange economy with a unique competitive equilibrium (Scarf’s global instability example) and a two-commodity, two-trader type exchange economy with multiple competitive equilibria, we show that t...