نتایج جستجو برای: stability of equilibrium
تعداد نتایج: 21191618 فیلتر نتایج به سال:
A mathematical model of a within-host viral infection is presented. A local stability analysis of the model is conducted in two ways. At first, the basic reproduction number of the system is calculated. It is shown that when the reproduction number falls below unity, the disease free equilibrium (DFE) is globally asymptotically stable, and when it exceeds unity, the DFE is unstable and there ex...
In this paper, we study two models of resource allocation games: the classical load balancing game and its new variant involving resource activation costs. The resources we consider are identical and the social costs of the games are utilitarian, which are the average of all individual players’ costs. Using the social costs we assess the quality of pure Nash equilibria in terms of the price of ...
We present a novel approach to analyzing models of price competition. By realizing price competition as a class of all-pay contests, we are able to generalize the models in which pricing behavior can be characterized, accommodating convex (possibly asymmetric) cost structures and general demand rationing schemes. Using this approach, we identify necessary and sufficient conditions for a pure st...
We study selfish routing in ring networks with respect to minimizing the maximum latency. Our main result is an establishement of constant bounds on the price of stability (PoS) for routing unsplittable flows with linear latency. We show that the PoS is at most 6.83, which reduces to 4.57 when the linear latency functions are homogeneous. We also show the existence of a (54,1)-approximate Nash ...
Introduction: Musculoskeletal disorders of the neck and shoulders are the most common reported complaints in sitting occupations such as dentistry. These disorders, in addition to create pain, can cause the impairment of postural control mechanisms. The aim of this study was to investigate the relationship between the postural stability disorder and the forward head posture (FHP) in the dentist...
In this paper, we propose a mathematical model of addiction to Internet. We investigate the effect of educational programs on the control of the addiction. We compute basic reproduction number. By using Chavez-Song theorem, we show the occurrence of backward bifurcation. We prove the global stability of the equilibrium points using geometric stability method and Lyapunov function.
We study the bidding behavior of spiteful agents who, contrary to the common assumption of selfinterest, maximize the weighted difference of their own profit and their competitors’ profit. This assumption is motivated by inherent spitefulness, or, for example, by competitive scenarios such as in closed markets where the loss of a competitor will likely result in future gains for oneself. We der...
In this paper an SIS epidemic model with saturated incidence rate and treatment func- tion is proposed and studied. The existence of all feasible equilibrium points is discussed. The local stability conditions of the disease free equilibrium point and endemic equilibrium point are established with the help of basic reproduction number.However the global stabili- ty conditions of these eq...
In this paper, we propose and analyze a mathematical model describing the effect of awareness programs by public media on the prevalence of Typhoid fever. A threshold quantity $R_{0}$, similar to the basic reproduction number is derived. We investigate the biologically meaningful equilibrium points and their local stability analysis. The global stability analysis has been performed with respect...
This paper is evolved to have insight of Plankton-Nutrients interactions in the presence of delay in the growth term of phytoplankton species .The conditions for asymptotic stability about endemic equilibrium are derived in the absence of delay.The Nyquist criteria is used to estimate the length of delay to preserve stability .Analytic criterion for the existence of hopf-bifurcation is also dis...
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