Epidemic outbreaks in human populations are facilitated by the underlying transportation network. We consider strategies for containing a viral spreading process by optimally allocating a limited budget to three types of protection resources: (i) Traffic control resources, (ii), preventative resources and (iii) corrective resources. Traffic control resources are employed to impose restrictions ...

Culling of infected individuals is a widely used measure for the control of several plant and animal pathogens but culling first requires detection of often cryptically-infected hosts. In this paper, we address the problem of how to allocate resources between detection and culling when the budget for disease management is limited. The results are generic but we motivate the problem for the cont...

Swine flu is a life threatening respiratory disease which originally spread among pigs. The virus easily mutates and is transmitted within human population through coughing or direct contact with infected person. It is caused by type-A influenza virus of subtypes H1N1, H1N2, H3N1, H3N2 and H2N3. The use of proper medical mask has been widely known to protect the user from incoming virus through...

The 2001 foot-and-mouth disease epidemic was controlled by culling of infectious premises and pre-emptive culling intended to limit the spread of disease. Of the control strategies adopted, routine culling of farms that were contiguous to infected premises caused the most controversy. Here we perform a retrospective analysis of the culling of contiguous premises as performed in 2001 and a simul...

In this paper, we present and analyze a cholera epidemiological model with control measures incorporated. This model is extended from the one proposed in [16] by including the effects of vaccination, therapeutic treatment, and water sanitation. Equilibrium analysis is conducted in the case with constant controls for both epidemic and endemic dynamics. Optimal control theory is applied to seek c...

A dynamic state feedback control stmcture is proposed in this paper. The scheme is conceived as an adaptive controller with the equilibrium in an LgV control law as the uncertain parameter, which allows the implementation of the controller for systems with unknown equilibnum. A new property of LgV controllers is given, and it is proven that this and other important properties carry on to the pr...

This article develops a model for evaluating alternative hedging strategies for financially constrained firms. A key advantage of the model is the ability to capture the intertemporal effects of hedging on the firm’s financial situation. We characterize the optimal hedge. A wide range of alternative hedging strategies can be specified and the model allows us to determine in each case if the hed...

The aim of this work is to motivate the use of linear flatness, or controllability, to design a feedback control law for the rather challenging mechanism known as the ‘Furuta pendulum’. This is achieved by introducing three feedback controller design options for the stabilization and rest-to-rest trajectory tracking tasks: a direct pole placement approach, a hierarchical high-gain approach and ...