Infectious Disease Spreading Fought by Multiple Vaccines Having a Prescribed Time Effect.

We propose a framework for the description of the effects of vaccinations on the spreading of an epidemic disease. Different vaccines can be dosed, each providing different immunization times and immunization levels. Differences due to individuals' ages are accounted for through the introduction of either a continuous age structure or a discrete set of age classes.

An age and space structured SIR model describing the Covid-19 pandemic.

Unlabelled: We present an epidemic model capable of describing key features of the Covid-19 pandemic. While capturing several qualitative properties of the virus spreading, it allows to compute the basic reproduction number, the number of deaths due to the virus and various other statistics. Numerical integrations are used to illustrate the adherence of the evolutions described by the model to specific well known real features of the present pandemic.

A modeling framework for biological pest control.

We present an analytic framework where biological pest control can be simulated. Control is enforced through the choice of a time and space dependent function representing the deployment of a species of predators that feed on pests. A sample of different strategies aimed at reducing the presence of pests is considered, evaluated and compared.

Optimizing vaccination strategies in an age structured SIR model.

We present a modeling framework based on a structured SIR model where different vaccination strategies can be tested and compared. Vaccinations can be dosed at prescribed ages or at prescribed times to prescribed portions of the susceptible population. Different choices of these prescriptions lead to entirely different evolutions of the disease.

Special issue: Mathematical Modeling with Measures.

The special issue is available from: http://www.aimspress.com/newsinfo/1132.

Implementation of Portable Emissions Measurement Systems (PEMS) for the Real-driving Emissions (RDE) Regulation in Europe.

Vehicles are tested in controlled and relatively narrow laboratory conditions to determine their official emission values and reference fuel consumption. However, on the road, ambient and driving conditions can vary over a wide range, sometimes causing emissions to be higher than those measured in the laboratory. For this reason, the European Commission has developed a complementary Real-Driving Emissions (RDE) test procedure using the Portable Emissions Measurement Systems (PEMS) to verify gaseous pollutant and particle number emissions during a wide range of normal operating conditions on the road.

Stability and optimization in structured population models on graphs.

We prove existence and uniqueness of solutions, continuous dependence from the initial datum and stability with respect to the boundary condition in a class of initial--boundary value problems for systems of balance laws. The particular choice of the boundary condition allows to comprehend models with very different structures. In particular, we consider a juvenile-adult model, the problem of the optimal mating ratio and a model for the optimal management of biological resources.

Preface to '' Modeling with measures ''.

Different communities met in the research workshop ``Modeling with Measures" that took place at the Lorentz Center (Leiden, The Netherlands) during 26th--30th of August 2013. They were groups of researchers active in the following fields.

The THRombolysis and STatins (THRaST) study.

Objective: To assess the impact on stroke outcome of statin use in the acute phase after IV thrombolysis.

Methods: Multicenter study on prospectively collected data of 2,072 stroke patients treated with IV thrombolysis. Outcome measures of efficacy were neurologic improvement (NIH Stroke Scale [NIHSS] ≤ 4 points from baseline or NIHSS = 0) and major neurologic improvement (NIHSS ≤ 8 points from baseline or NIHSS = 0) at 7 days and favorable (modified Rankin Scale [mRS] ≤ 2) and excellent functional outcome (mRS ≤ 1) at 3 months.