3 papers
q-bio.PE2026
Instant cost and delayed reward. Demographic eco-evolutionary game dynamics under the impact of the delay resulting from the offspring maturation time
Krzysztof Argasiński, Ryszard Rudnicki, Robert Szczelina
In this paper, we extend the demographic eco-evolutionary game approach, based on explicit birth and death dynamics instead of abstract "fitness" interpreted as an abstract "Malthu…
math.DS2024
Sharkovskii theorem for infinite dimensional dynamical systems
Anna Gierzkiewicz, Robert Szczelina
We present an adaptation of a relatively simple topological argument to show the existence of many periodic orbits in an infinite dimensional dynamical system, provided that the sy…
math.DS2024
Stable periodic orbits for delay differential equations with unimodal feedback
Gábor Benedek, Tibor Krisztin, Robert Szczelina
We consider delay differential equations of the form with positive parameters and a unimodal . It is assumed that the nonli…