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20082026
most citedViability, Invariance and Reachability for Controlled Piecewise Deterministic Markov Processes Associated to Gene Networks

24 citations · 77 across the 32 of their papers we have counts for

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Showing 2023Show all

5 papers · 1 filter

math.AP2023

Improved regularity for the stochastic fast diffusion equation

Ioana Ciotir, Dan Goreac, Jonas M. Tölle

We prove that the solution to the singular-degenerate stochastic fast-diffusion equation with parameter , with zero Dirichlet boundary conditions on a bounded domain in…

math.AP2023

A Stochastic Porous Media Schr{ö}dinger Equation: Feynman-type Motivation, Well-Posedness and Control Interpretation

Ioana Ciotir, Dan Goreac, Juan Li +1

This paper's aim is threefold. First, using Feynman's path approach to the derivation of theclassical Schr{ö}dinger's equation in [6] and by introducing a slight path (or wave) dep…

q-bio.PE2023

Explicit mathematical epidemiology results on age renewal kernels and R0 formulas are often consequences of the rank one property of the next generation matrix

Florin Avram, Rim Adenane, Dan Goreac +1

A very large class of ODE epidemic models (2.2) discussed in this paper enjoys the property of admitting also an integral renewal formulation, with respect to an "age of infection…

math.OC2023★ 1 cited

Infinite horizon optimal control of a SIR epidemic under an ICU constraint

Lorenzo Freddi, Dan Goreac

The aim of this paper is to provide a rigorous mathematical analysis of an optimal control problem of a SIR epidemic on an infinite horizon. A state constraint related to intensive…

math.PR2023

The stochastic fast logarithmic equation in with multiplicative Stratonovich noise

Ioana Ciotir, Reika Fukuizumi, Dan Goreac

This paper is concerned with the existence and uniqueness of the solution for the stochastic fast logarithmic equation with Stratonovich multiplicative noise in fo…