3 papers
math.DS2026
On exponential stability of linear and nonlinear delay differential equations: a review and new results
Leonid Berezansky, Elena Braverman, Alexander Domoshnitsky
An extensive overview of existing criteria, as well as some new uniform exponential stability tests are included for a scalar delay equation $$ \dot{x}(t)+ \sum_{j=1}^n a_j(t)x(h_j…
math.DS2025
Existence of periodic solution of a non-autonomous allelopathic phytoplankton model with fear effect
Satyam Narayan Srivastava, Alexander Domoshnitsky, Seshadev Padhi +1
In this paper, we consider a non-autonomous allelopathic phytoplankton competition ODE model, incorporating the influence of fear effects observed in natural biological phenomena.…
q-bio.CB2020
Marchuk's models of infection diseases: new developments
Irina Volinsky, Alexander Domoshnitsky, Marina Bershadsky +1
We consider mathematical models of infection diseases built by G.I. Marchuk in his well known book on immunology. These models are in the form of systems of ordinary delay differen…