Most nations have responded to the COVID-19 pandemic by locking down parts of their economies to reduce infectious spread. The optimal timing of the beginning and end of the lockdown, together with its intensity, is determined by the tradeoff between economic losses and improved health outcomes....

We propose a theoretical model to study individual lifestyle choices related to calorie intake and physical activity, depending on personal fitness level and body weight. The model builds on the rational eating literature and can generate a variety of behaviors that are consistent with the...

This paper considers a class of optimal control problems that allows jumps in the state variable. We present the necessary optimality conditions of the Impulse Control Maximum Principle based on the current value formulation. By reviewing the existing impulse control models in the literature, we...