Continuity of periodic solutions for Lotka–Volterra equations in coefficient functions

Continuity of periodic solutions for Lotka–Volterra equations in coefficient functions

In this paper, we are concerned with the continuity of positive periodic solutions for Lotka–Volterra equations in coefficient functions. It will be proven that these positive periodic solutions are continuous in coefficient functions with respect to weak topologies.

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Veröffentlicht in:Zeitschrift für angewandte Mathematik und Physik 2023-10, Vol.74 (5), Article 202
Hauptverfasser: Dou, Yaru, Meng, Gang, Zhou, Zhe
Format: Artikel
Sprache:eng
Schlagworte:
Coefficients
Continuity (mathematics)
Engineering
Mathematical analysis
Mathematical Methods in Physics
Theoretical and Applied Mechanics
Topology
Volterra integral equations
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Zusammenfassung:In this paper, we are concerned with the continuity of positive periodic solutions for Lotka–Volterra equations in coefficient functions. It will be proven that these positive periodic solutions are continuous in coefficient functions with respect to weak topologies.
ISSN:0044-2275
1420-9039
DOI:10.1007/s00033-023-02096-5