@Article{JNMA-7-764,
author = {Zhang , Yao and Pei , Yongzhen},
title = {The Dynamics of the Spruce Budworm-Bird System on Time Scale},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2025},
volume = {7},
number = {3},
pages = {764--781},
abstract = {<p style="text-align: justify;">We perform a geometric analysis focusing on relaxation oscillations and canard cycles within a singularly perturbed predator-prey system
involving budworm and birds. The system undergoes a comprehensive stability analysis, leading to the identification of canard cycles in proximity to
the Hopf bifurcation points. The study particularly highlights the transition
from smaller Hopf-type cycles to larger relaxation cycles. And the expression
of transition threshold $\mu_c(\sqrt{ε})$ of the spruce budworm-bird system is obtained
innovatively. Furthermore, numerical simulations are carried out to validate
the theoretical findings.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2025.764},
url = {http://global-sci.org/intro/article_detail/jnma/24101.html}
}