5 papers · 1 filter
Countable IET Models and Defect Sets for Interval Translation Maps
Sergey Kryzhevich, Khosro Tajbakhsh, Reza Yaghmaeian
Interval translation maps are piecewise translations for which the images of distinct continuity intervals may overlap. We study when their measured dynamics can be represented by…
Residual fertility and delay in sterile insect population dynamics
Ruqaya Hussein, Sergey Kryzhevich, Khosro Tajbakhsh
The sterile insect technique controls mosquito-borne diseases such as malaria, dengue, and yellow fever through either eradication or depressing the associated vector population. W…
Topological Stability and Shadowing in Uniform Transformation Semigroups Modulo an Ideal
F. Ayatollah Zadeh Shirazi, E. Hakimi, A. Hosseini +1
In this paper, we introduce and analyze several key dynamical properties-namely shadowing modulo an ideal, expansivity modulo an ideal, and topological stability modulo an ideal-wi…
Dynamics of Performances in a Competitive Model
Gholam Reza Rokni Lamouki, Mahmoud Soufbaf, Khosro Tajbakhsh
A competitive resource-consumer dynamical model is analyzed based on an integrated model of a competitive Lotka-Volterra model and a prey-predator Rosenzweig-MacArthur model that w…
Dynamics of Systems with a Discontinuous Hysteresis Operator and Interval Translation Maps
Sergey Kryzhevich, Viktor Avrutin, Nikita Begun +2
We studied topological and metric properties of the so-called interval translation maps (ITMs). For these maps, we introduced the maximal invariant measure and study its properties…