This paper deals with the stability analysis of a simple metabolic system with feedback inhibition. The system is a sequence of monomolecular enzymatic reactions. The last metabolite acts as a feedback regulator for the rst enzyme of the pathway. The enzymatic reactions of the pathway satisfy MichaelisMenten kinetics. The inhibition is described by an hyperbolic model. Without inhibition, it is...

In this paper we present a Nash equilibrium problem of linear quadratic zero-sum dynamic games for descriptor system. We assume that the players give a linear feedback to the game. For the game with finite planning horizon we derive a differential Riccati type equation. For the game with infinite planning horizon we consider an algebraic Riccati type equation. The connection of the game solutio...

In nonlinear matrix models, strong Allee effects typically arise when the fundamental bifurcation of positive equilibria from the extinction equilibrium at r=1 (or R0=1) is backward. This occurs when positive feedback (component Allee) effects are dominant at low densities and negative feedback effects are dominant at high densities. This scenario allows population survival when r (or equivalen...

In this paper we describe our use of the STAMP architecture to analyse the C. difficile infection outbreaks which occurred at the Maidstone and Tunbridge Wells NHS trust. Background data from other outbreaks in the UK (e.g., at Stoke Mandeville NHS trust) were also used to build STAMP models. The specification uses components of STAMP such as negative and positive feedback loops to represent th...

Many new technologies have two groups of users, whose ultimate benefit stems from interacting through a common network. For a technology to flourish, both kinds of users must adopt the technology. Lack of coordination can lead to an equilibrium where cost-savings are not realized, since no-one adopts. This can make cost-saving network technologies a policy issue. In the Automated Clearing House...

Global climate model (GCM) estimates of the equilibrium global mean surface temperature response to a doubling of atmospheric CO2, measured by the equilibrium climate sensitivity (ECS), range from 2.0° to 4.6°C. Clouds are among the leading causes of this uncertainty. Here we show that the ECS can be up to 1.3°C higher in simulations where mixed-phase clouds consisting of ice crystals and super...

In this work, the development of model-based feedback control that stabilizes an unstable equilibrium is obtained for the Modified Hasegawa-Wakatani (MHW) equations, a classic model in plasma turbulence. First, a balanced truncation (a model reduction technique that has proven successful in flow control design problems) is applied to obtain a low dimensional model of the linearized MHW equation...

The feedback effects of ATIS information for helping travelers choose optimal routes are researched. We build a dynamic route choice model for ATIS; analyze the adjustment and renewal process of travel route decision based on Bayesian method and logit choice model. Furthermore, through comparing whether can obtain ATIS information for users, the route choice rules are designed and practical sim...

Based on Moore and Greitzer’s model [15], the surge behavior of axial flow compression system was found to be attributed to the appearance of Andronov-Hopf bifurcationin [12]. In this paper, we focus on the design of control law to prevent and/or delay the occurrence of the bifurcations, which will then suppress the surge behavior. Both types of linear dynamic state feedback and linear washout ...

The method of controlled Lagrangians is a technique for stabilizing underactuated mechanical systems which involves modifying a system’s energy and dynamic structure through feedback. These modifications can obscure the effect of physical dissipation in the closed-loop. For example, generic damping can destabilize an equilibrium which is closed-loop stable for a conservative system model. In th...