14 citations · 28 across the 7 of their papers we have counts for
7 papers
Impact of a cost functional on the optimal control and the cost-effectiveness: control of a spreading infection as a case study
Fernando Saldaña, José Ariel Camacho-Gutiérrez, Andrei Korobeinikov
In applications of the optimal control theory to problems in medicine and biology, the dependency of the objective functional on the control itself is often a matter of controversy…
When optimal is not the best: cost effectiveness analysis for HPV epidemic models
Fernando Saldaña, José Ariel Camacho-Gutíerrez, Ignacio Barradas +1
This paper aims to evaluate the potential cost-effectiveness of healthcare interventions against human papillomavirus (HPV). For this, we consider a two-sex epidemic model for the…
The stability, persistence and extinction in a stochastic model of the population growth
Andrei Korobeinikov, Leonid Shaikhet
In this paper we consider the global qualitative properties of a stochastically perturbed logistic model of population growth. In this model, the stochastic perturbations are assum…
Optimal quarantine strategies for COVID-19 control models
Ellina Grigorieva, Evgenii Khailov, Andrei Korobeinikov
Optimal control problems reflecting the finding of effective quarantine strategies are considered for two control SEIR~type models describing the spread of the COVID-19 virus in th…
Stability of a retrovirus dymanic model
Andrei Korobeinikov, Alexander Rezounenko
A retrovirus dynamic model is proposed. We pay attention to the case when viral pathogenicity is low and the infected cells are able to reproduce. Using Lyapunov function method we…
Stability of a stochastically perturbed model of intracellular single-stranded RNA virus replication
Leonid Shaikhet, Santiago F. Elena, Andrei Korobeinikov
Replication of single-stranded RNA virus can be complicated, compared to that of double-stranded virus, as it require production of intermediate antigenomic strands that then serve…