3 papers
math.DS2020
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…
math.PR2018
Multi-condition of stability for nonlinear stochastic non-autonomous delay differential equation
Leonid Shaikhet
A nonlinear stochastic differential equation with the order of nonlinearity higher than one, with several discrete and distributed delays and time varying coefficients is considere…
math.DS2018
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…