We incorporate a renewable resource into an overlapping generations model without capital and with quasi-linear preferences. Besides being an input for production the resource serves as a store of value. We characterize the dynamics, efficiency and stability of the steady state equilibria. The stability properties are sensitive to the type of the resource growth. For constant growth there is on...

this paper undertakes the synthesis of a logic-based switching h2/h∞ state-feedback controller for continuous-time lti singular perturbation systems. our solution achieves a minimum bound on the h2 performance level, while also satisfying the h∞ performance requirements. the proposed hybrid control scheme is based on a fuzzy supervisor managing the combination of two controllers. a convex lmi-b...

either stable or unstable with respect to small perturbations away from the steady state. If all small perturbations (in any direction in the n-dimensional state space of the reaction network) eventually return to x, then this steady state is said to be (locally asymptotically) stable. If there exist small perturbations (in some particular directions in state space) that depart from x and never...

Gene regulatory networks capture the interactions between genes and other cell substances, resulting from the fundamental biological process of transcription and translation. In some applications, the topology of the regulatory network is not known, and has to be inferred from experimental data. The experimental data consist of expression levels of the genes, which are typically measured as mRN...

Gene regulatory networks represent an abstract mapping of gene regulations in living cells. They aim to capture dependencies among molecular entities such as transcription factors, proteins and metabolites. In most applications, the regulatory network structure is unknown, and has to be reverse engineered from experimental data consisting of expression levels of the genes usually measured as me...

introduction: the prevalence of hearing loss in neonates is 2-5 out of every 1,000 live births. global health committee, american academy of otolaryngology, and american academy of pediatrics have recommended that hearing loss in infants be identified, and treated when possible, prior to 6 months of age. this study was designed with the aim to screen the hearing of neonates in mashhad, iran. me...

A novel approach of the chemical reactor stabilization is proposed by using a multistability control. A creation of an additional stable steady state by changing the reactor multiplicity features is a main idea of the multistability control. Proposed approach employs a special type of periodic forced operation, called mediating operation. Mediating operation is able to change a qualitative char...

We develop a mathematical model of the phage lambda lysis/lysogeny switch, taking into account recent experimental evidence demonstrating enhanced cooperativity between the left and right operator regions. Model parameters are estimated from available experimental data. The model is shown to have a single stable steady state for these estimated parameter values, and this steady state correspond...