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一类具有扩散的营养-微生物模型的Hopf分支周期解

2023-07-28袁海龙王雅迪

关键词:稳定性营养

袁海龙 王雅迪

摘要:考虑一类满足齐次Neumann边界条件的营养-微生物扩散模型.在满足Hopf分支存在性的条件下,利用中心流形定理和规范型理论,讨论了扩散系统Hopf分支方向及空间非齐次分支周期解的稳定性.

關键词:营养-微生物模型;扩散系统;周期解;Hopf分支;空间非齐次;稳定性

中图分类号:O 175.26 文献标志码:A 文章编号:1001-988Ⅹ(2023)04-0016-07

参考文献:

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[3] CAO Qian,WU Jian-hua.Patterns and dynamics in the diffusive model of a nutrient-microorganism system in the sediment[J].Nonlinear Anal:RWA,2019,49:331.

[4] JIN Jia-yin,SHI Jun-ping,WEI Jun-jie,et al.Bifurcations of patterned solutions in the diffusive Lengyel-Epstein system of CIMA chemical reactions[J].Rocky Mt J Math,2013,43:1637.

[5] YI Feng-qi,WEI Jun-jie,SHI Jun-ping.Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system[J].J Differential Equations,2009,246:1944.

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(责任编辑 马宇鸿)

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