In the present work the propagation of a fast ionization wave (FIW) within a long discharge tube filled by electronegative gas is investigated both experimentally and theoretically. In the theoretical model, the existence of the radial potential profile, the dependence of plasma parameters at each space point on processes in the whole tube and the temporal transformation of electron energy distribution function are taken into account. The parameters of the plasma in the wave front and behind it, the energy deposition in the discharge and the attenuation of the wave during FIW propagation are obtained. The problem of the initial electron concentration is considered.

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Analyses of experimental and theoretical investigations of energy dissipation in a pulse discharge are reported. The pulse discharge has been investigated in the form of fast ionization waves. The dependence of part of the energy deposition on the impedance discharge cell is found. From the presented model it follows that at high values of the impedance of the discharge cell the energy deposition is determined by the front of the ionization wave, and, in the opposite case, at small values of the impedance it is determined by the charging of the discharge cell capacitance and by joule's losses. The part of the energy deposition in the fast ionization wavefront is estimated to be 20-45%. The conditions at which up to 100% energy deposition is achieved.

We extend the classical SIR epidemic spread model by introducing the "quarantined" compartment. We solve (numerically) the differential equations that govern the extended model and quantify how quarantining "flattens the curve" for the proportion of infected population over time. Furthermore, we explore the potential of using drones to deliver tests, enabling mass-testing for the infection; we give a method to estimate the drone fleet needed to deliver the tests in a metropolitan area. Application of our models to COVID-19 spread in Sweden shows how the proposed methods could substantially decrease the peak number of infected people, almost without increasing the duration of the epidemic.