DOAJ Open Access 2024

Existence of forced waves and gap formations for a Lotka-Volterra competition system with nonlocal dispersal in a time periodic shift habitat

Haoran Mu Haijun Hu

Abstrak

This paper is devoted to the study of a class of time periodic Lotka-Volterra competition system with nonlocal dispersal and shifting habitats. By using some known results of the periodic KPP model and employing the iterative techniques, we prove that there exist two positive numbers $c_{0}(d_{1})$ and $c_{0}(d_{2})$ such that the system admits a forced wave provided that the forcing speed $c\in(-c_{0}(d_{2}),c_{0}(d_{1}))$. In addition, based on the theoretical results, we show that the gap formations exist for $c>c_{0}(d_{1})$ and $c<-c_{0}(d_{2})$.

Topik & Kata Kunci

Applied mathematics. Quantitative methods

Penulis (2)

Haoran Mu

Haijun Hu

Format Sitasi

APA MLA BibTeX

Mu, H., Hu, H. (2024). Existence of forced waves and gap formations for a Lotka-Volterra competition system with nonlocal dispersal in a time periodic shift habitat. https://doi.org/10.5206/mase/20167

Akses Cepat

PDF tidak tersedia langsung

Cek di sumber asli →

Lihat di Sumber doi.org/10.5206/mase/20167

Informasi Jurnal

Tahun Terbit: 2024
Sumber Database: DOAJ
DOI: 10.5206/mase/20167
Akses: Open Access ✓