 Periodic solutions and spatial patterns induced by mixed delays in a diffusive spruce budworm model with Holling II predation functionXiaosong Tang Mathematics and Computers in Simulation (MATCOM), 2022, vol. 192, issue C, 420-429 Abstract: In present article, under homogeneous Neumann boundary condition, we put forward a diffusive spruce budworm model with mixed delays and Holling II predation function firstly. Then, choosing delay (discrete delay or distributed delay) as bifurcating parameter together with characteristic equation, we derive that not only can discrete delay induce the appearance of Hopf bifurcations for this model, but also distributed delay can do it. However, to our knowledge, in the known literatures, Hopf bifurcation can only be deduced by discrete delay or distributed delay. So, the obtained results in present article are new. At last, by carrying out numerical simulations, we obtain periodic solutions and spatial patterns deduced by discrete delay or distributed delay, which illustrates the results in this article. Keywords: Spruce budworm model; Diffusion; Mixed delays; Hopf bifurcation; Periodic solutions; Spatial patterns (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:192:y:2022:i:c:p:420-429 DOI: 10.1016/j.matcom.2021.09.013 Access Statistics for this article Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier |
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