Details

Autor(en) / Beteiligte

• Pötzsche, Christian

Titel

Multiparameter bifurcation in periodic integrodifference equations

Ist Teil von

• Mathematical methods in the applied sciences, 2023-07, Vol.46 (11), p.12035-12051

Ort / Verlag

Freiburg: Wiley Subscription Services, Inc

Erscheinungsjahr

2023

Link zum Volltext

Quelle

Wiley Online Library All Journals

Beschreibungen/Notizen

• Integrodifference equations appear as popular discrete‐time growth‐dispersal models in theoretical ecology. For such applications, seasonal influences are well‐motivated but lead to a large number of system parameters. This paper provides a flexible and easy to verify sufficient criterion for multiparameter bifurcation of periodic solutions to periodic integrodifference equations. In terms of a “bunch theorem,” a generic condition to identify those directions is given, in which solution branches do bifurcate. Additionally, we show that symmetry properties of integrodifference equations extend to the bifurcating solution branches.