260 citations · 584 across the 24 of their papers we have counts for
24 papers
An Analytically Tractable Framework for Multi-Strain Epidemics: Resolving Algebraic Complexity to Map Oscillatory Dynamics
Nir Gavish
Multi-strain epidemiological systems frequently exhibit self-sustained oscillations, yet severe algebraic complexity has long obstructed a complete analytical characterization of t…
Modeling the Impact of Immune Boosting on Population-Level Vaccine Effectiveness
Nir Gavish, Guy Katriel, Zohar Rom-Ramon
We extend the standard susceptible-infected-recovered framework to incorporate natural immune boosting during a short-scale outbreak. By deriving closed-form final size relations,…
Optimal regulation in a periodic environment: insights from a simple model
Nir Gavish, Guy Katriel
We perform a detailed study of a simple mathematical model addressing the problem of optimally regulating a process subject to periodic external forcing, which is interesting both…
A new oscillatory regime in two-strain epidemic models with partial cross-immunity
Nir Gavish
Infectious diseases often involve multiple strains that interact through the immune response generated after an infection. This study investigates the conditions under which a two-…
Revisiting the exclusion principle in epidemiology at its ultimate limit
Nir Gavish
The competitive exclusion principle in epidemiology implies that when competing strains of a pathogen provide complete protection for each other, the strain with the largest reprod…
Dynamics of a two-strain epidemic model with waning immunity -- a perturbative approach
Nir Gavish, Musa Rabiu
Many infectious diseases are comprised of multiple strains with examples including Influenza, tuberculosis, and Dengue virus. The time evolution of such systems is linked to a comp…
Optimal vaccination at high reproductive numbers: sharp transitions and counter-intuitive allocations
Nir Gavish, Guy Katriel
Optimization of vaccine allocations among different segments of a heterogeneous population is important for enhancing the effectiveness of vaccination campaigns in reducing the bur…
Stiffness and coherence length measurements of ultra-thin superconductor, and implications to layered superconductors
Amit Keren, Nitsan Blau, Nir Gavish +3
Based on the London equation, we use a rotor-free vector potential , and current measurements by a SQUID, to determine the superconducting Pearl length , and coherence…
Bending and pinching of three-phase stripes: From secondary instabilities to morphological deformations in organic photovoltaics
Alon Z. Shapira, Nir Gavish, Hannes Uecker +1
Optimizing the properties of the mosaic morphology of bulk heterojunction (BHJ) organic photovoltaics (OPV) is not only challenging technologically but also intriguing from the mec…
Ginzburg-Landau model of a Stiffnessometer -- a superconducting stiffness meter device
Nir Gavish, Oded Kenneth, Amit Keren
We study the Ginzburg-Landau equations of super-conductivity describing the experimental setup of a Stiffnessometer device. In particular, we consider the nonlinear regime which re…
Large deviations and gradient flows for the Brownian one-dimensional hard-rod system
Nir Gavish, Pierre Nyquist, Mark Peletier
We study a system of hard rods of finite size in one space dimension, which move by Brownian noise while avoiding overlap. We consider a scaling in which the number of particles te…
Pattern formation aspects of electrically charged tri-stable media with implications to bulk heterojunction in organic photovoltaics
Alon Z. Shapira, Nir Gavish, Arik Yochelis
A common thread in designing electrochemically-based renewable energy devices comprises materials that exploit nano-scale morphologies, e.g., supercapacitors, batteries, fuel cells…
The nature of the phase transition in the cuprates as revealed by a magnetic field free stiffness meter
Itzik Kapon, Zaher Salman, Thomas Prokscha +2
A new method to measure the superconducting stiffness tensor , without subjecting the sample to magnetic field, is applied to LaSrCuO (LSCO).…
Finite domain effects in steady-state solutions of Poisson-Nernst-Planck equations
Doron Elad, Nir Gavish
Steady-state solutions of the Poisson-Nernst-Planck model are studied in the asymptotic limit of large, but finite domains. By using asymptotic matching for integrals, we derive an…
Do Bi-Stable Poisson-Nernst-Planck Models Describe Single Channel Gating?
Nir Gavish, Chun Liu, Bob Eisenberg
Experiments measuring currents through single protein channels show unstable currents, a phenomena called the gating of a single channel. Channels switch between an 'open' state wi…
From solvent free to dilute electrolytes: Essential components for a continuum theory
Nir Gavish, Doron Elad, Arik Yochelis
The increasing number of experimental observations on highly concentrated electrolytes and ionic liquids show qualitative features that are distinct from dilute or moderately conce…
Stiffnessometer, a magnetic-field-free superconducting stiffness meter and its application
Itay Mangel, Itzik Kapon, Nitzan Blau +3
We provide a detailed account for a new method to measure superconducting stiffness , critical current density , and coherence length , in one apparatus, without sub…
Poisson-Nernst-Planck equations with steric effects - non-convexity and multiple stationary solutions
Nir Gavish
We study the existence and stability of stationary solutions of Poisson-Nernst- Planck equations with steric effects (PNP-steric equations) with two counter-charged species. These…
Mean field approach to first and second order phase transitions in ionic liquids
Sariel Bier, Nir Gavish, Hannes Uecker +1
Ionic liquids are solvent-free electrolytes, some of which possess an intriguing self-assembly property. Using a mean-field framework (based on Onsager's relations) we show that bu…
Spatially localized self-assembly driven by electrically charged phase separation
Nir Gavish, Idan Versano, Arik Yochelis
Self-assembly driven by phase separation coupled to Coulombic interactions is fundamental to a wide range of applications, examples of which include soft matter lithography via di-…
Theory of phase separation and polarization for dissociated ionic liquids
Nir Gavish, Arik Yochelis
Room temperature ionic liquids are attractive to numerous applications and particularly, to renewable energy devices. As solvent free electrolytes, they demonstrate a paramount con…
Dependence of the dielectric constant of electrolyte solutions on ionic concentration - a microfield approach
Nir Gavish, Keith Promislow
We present a novel microfield approach for studying the dependence of the orientational polarization of the water in aqueous electrolyte solutions upon the salt concentration and t…
Singular standing-ring solutions of nonlinear partial differential equations
Guy Baruch, Gadi Fibich, Nir Gavish
We present a general framework for constructing singular solutions of nonlinear evolution equations that become singular on a d-dimensional sphere, where d>1. The asymptotic profil…
Critical power of collapsing vortices
Gadi Fibich, Nir Gavish
We calculate the critical power for collapse of linearly-polarized phase vortices, and show that this expression is more accurate than previous results. Unlike the non-vortex case,…