吉林大学学报（理学版）2025，Vol.63Issue(4)：979-992,14.DOI:10.13413/j.cnki.jdxblxb.2024392
一类具有非局部项的浮游生物模型的动力学性质分析
Dynamic Analysis of a Class of Plankton Models with Non-local Term
摘要
Abstract
By using the stability and bifurcation theory of differential equation,we studied the dynamic properties of a class of reaction-diffusion models for plankton with a non-local competition.Firstly,we gave the conditions for the existence and stability of positive constant equilibrium solutions.Secondly,we gave the conditions for the occurrence of Hopf bifurcation and steady-state bifurcation at the positive constant equilibrium solution,and calculated the properties of these bifurcations.Finally,we explained the theoretical analysis results through numerical simulation.关键词
浮游生物模型/非局部竞争/Hopf分支/稳态分支/扩散Key words
plankton model/non-local competition/Hopf bifurcation/steady-state bifurcation/diffusion分类
数理科学引用本文复制引用
刘曼怡,魏新,赵建涛..一类具有非局部项的浮游生物模型的动力学性质分析[J].吉林大学学报（理学版）,2025,63(4):979-992,14.基金项目
国家自然科学基金(批准号:11901172)和黑龙江省省属高校基本科研业务费专项基金(批准号:2022-KYYWF-1043). （批准号:11901172）
