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math.DS2026
Time-periodic carrying simplex for a competitive system of Carathéodory ODEs
Stephen Baigent, Janusz Mierczyński
We consider time-periodic competitive systems of ordinary differential equations of Kolmogorov type. However, compared with standard assumptions, we relax the regularity of the tim…
math.DS2021★ 5 cited
Existence of the carrying simplex for a retrotone map
Janusz Mierczyński, Stephen Baigent
We present a dynamical approach to the study of unordered, attracting manifolds of retrotone maps commonly known as carrying simplices. Our approach is novel in that it uses the ra…