Canard cycle, relaxation oscillation and cross-diffusion induced pattern formation in a slow-fast ecological system with weak Allee effect

DOI10.1016/j.cnsns.2024.108360MaRDI QIDQ6649240

Ningning Zhu, Ranjit Kumar Upadhyay, Jiawen Jia, Dongpo Hu, Ming Liu, Zhaowen Zheng

Publication date: 5 December 2024

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

pattern formationtraveling waveslow-fast systemTuring instability

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05) Singular perturbations for ordinary differential equations (34E15) Relaxation oscillations for ordinary differential equations (34C26) Canard solutions to ordinary differential equations (34E17)

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