@Article{JNMA-5-3,
author = {Zhang, Xuetian and Zhang, Chunrui},
title = {Analysis of Dynamic Properties of Forest Beetle Outbreak Model},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2023},
volume = {5},
number = {3},
pages = {580--596},
abstract = {<p style="text-align: justify;">This paper mainly studies the dynamic properties of the forest
beetle outbreak model. The existence of the positive equilibrium point and
the local stability of the positive equilibrium point of the system are analyzed,
and the relevant conclusions are drawn. After that, the existence of Turing
instability, Hopf bifurcation and Turing-Hopf bifurcation are discussed respectively, and the necessary conditions for existence are given. Finally, the normal
form of the Turing-Hopf point is calculated, and some dynamic properties at
the point are analyzed by numerical simulation.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2023.580},
url = {https://global-sci.com/article/87889/analysis-of-dynamic-properties-of-forest-beetle-outbreak-model}
}