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Bifurcations and Spatiotemporal Patterns in the Diffusive Nutrient-Microor ganism Model: 《Acta Mathematicae Applicatae Sinica》2025年第1期162-178,共17页Ya-di WANG Hai-long YUAN Yan-ling LI; supported by the Natural Science Foundation of China(No.11901370,11771262);by the Natural Science Basic Research Plan in Shannxi Province(2019JQ-516);by the Natural Science Foundation of Shaanxi Provincial Department of Education grant(19JK0142);by the Natural Science Foundation of China(2019M653578);by the Shaanxi Provincial Science and Technology Association Talents Promotion Project(20200508).; In this paper,the diffusive nutrient-microorganism model subject to Neumann boundary conditions is considered.The Hopf bifurcations and steady state bifurcations which bifurcate from the positive constant equilibrium ...; 关键词：nutrient-microorganism model Hopf bifurcation steady state bifurcation simulations

Global Dynamics of a Kawasaki Disease Vascular Endothelial Cell Injury Model with Backward Bifurcation and Hopf Bifurcation: 《Acta Mathematicae Applicatae Sinica》2025年第1期200-233,共34页Ke GUO Wan-biao MA; supported by the National Natural Science Foundation of China(12201038);the Project funded by China Postdoctoral Science Foundation(2022TQ0026);the Fundamental Research Funds for the Central Universities(FRF-TP-22-102A1);the Beijing Natural Science Foundation(1202019).; Kawasaki disease(KD)is an acute,febrile,systemic vasculitis that mainly affects children under five years of age.In this paper,we propose and study a class of 5-dimensional ordinary differential equation model describ...; 关键词：Kawasaki disease model backward bifurcation Hopf bifurcation global stability PERMANENCE

A Delayed Predator-Prey Model with Fear Effect and Cannibalism: 《Journal of Applied Mathematics and Physics》2025年第2期506-524,共19页Guoqing Li Xiaolin Lin Shaoyi Geng; In this paper, we consider the fear effect and gestation delay, and then establish a delayed predator-prey model with cannibalism. Firstly, we prove the well-posedness of the model. Secondly, the existence and stabili...; 关键词：Predator-Prey Model Fear Effect CANNIBALISM Stability Hopf Bifurcation

Dynamics of a Class of Multiple Sclerosis Models with Saturated Activation Rates of T Cells: 《Journal of Applied Mathematics and Physics》2025年第2期525-552,共28页Yu Su; Many autoimmune diseases exhibit an alternating pattern of relapses and remissions in which the apparent self-tolerance phase is interrupted by periodic autoimmune episodes. In this paper, we introduce a class of term...; 关键词：Multiple Sclerosis Model Saturated Functional Response Equilibrium Point STABILITY Hopf Bifurcation

Stability switches mechanism and PID control in reaction-diffusion network-organized neural systems with transmission delays: 《Science China(Technological Sciences)》2025年第2期199-215,共17页Xiangyu DU Min XIAO Wenwu YU Jiajin HE; supported by the National Natural Science Foundation of China(Grant Nos.62073172,62233004,62073076);the Natural Science Foundation of Jiangsu Province of China(Grant No.BK20221329);Jiangsu Provincial Scientific Research Center of Applied Mathematics(Grant No.BK20233002).; Traditionally,the spatiotemporal dynamics of neural networks have been analyzed in the locally continuous domain.While this modeling approach is straightforward and practical,it fails to encapsulate real-world network...; 关键词：complex network neural networks PID control turing instability hopf bifurcation time delays turing pattern

A Type of Hopf Bifurcation in Models with Holling-II Type Multiple Sclerosis: 《Journal of Applied Mathematics and Physics》2025年第1期327-347,共21页Manhui He; Multiple autoimmune diseases often exhibit a cyclic pattern of relapse and remission, with significant periods of loss of self-tolerance being interrupted by recurrent autoimmune events. In this article, we explore a ...; 关键词：Multiple Sclerosis Model Holling-II Type Functional Response Equilibrium Point STABILITY Hopf Bifurcation

Adaptive PID Control for Hydraulic Turbine Regulation Systems Based on INGWO and BPNN被引量：1: 《Protection and Control of Modern Power Systems》2024年第4期126-146,共21页Jinbao Chen Gang He Yunhe Wang Yang Zheng Zhihuai Xiao; supported by the National Natural Science Foundation of China(No.51979204 and No.52009096);the Hubei Provincial Natural Science Foundation of China(No.2022CFD165);the China Postdoctoral Science Foundation(No.2022T150498).; To ensure system stability,the fixed-PID(F-PID)controller with small parameters is usually adopted in hydropower stations.This involves a slow setting speed and it is difficult to realize optimal control for full work...; 关键词：Hydraulic turbine regulation system back propagation neural networks Hopf bifurcation grey wolf optimizer variable-PID controller

Bifurcation analysis of a delayed reaction-diffusion-advection Nicholson's blowflies equation: 《International Journal of Biomathematics》2024年第7期53-77,共25页Mengfan Tan Chunjin Wei Junjie Wei; supported by the National Natural Science Foundation of China(Grant Nos.22132004,22072057,and 12171117).; In this paper,we investigate the dynamics of a reaction-diffusion Nicholson's blowfies equation with advection.The stability of positive steady state and existence of Hopf bifurcation are obtained by analyzing the dis...; 关键词：Nicholson's blowfies advection delay Hopf bifurcation

DYNAMIC ANALYSIS OF A TYPE OF FINANCIAL RISK CONTAGION MODEL INVOLVING IMMUNITY PERIOD AND SELF-RESCUE: 《数学杂志》2024年第5期413-425,共13页ZHANG Shuang-hui WANG Hai-xia XU Hui-ling; Supported by National Natural Science Foundation of China(12272062).; In this paper,we study the dynamics of a Susceptible-Exposed-Infectious-Recovered(SEIR)nancial risk contagion model with time delay.Using stability theory and Hopf bifurcation theory,equilibria stability and Hopf bifu...; 关键词：nancial risk contagion SELF-RESCUE time delay Hopf bifurcation

Qualitative Analysis of a Diffusive Predator-prey Model with Nonlcoal Fear Effect: 《数学理论与应用》2024年第3期67-82,共16页Shen Zhongyuan Zhang Xuebing Li Shunjie; supported by the National Natural Science Foundation of China (No.12271261);the National Undergraduate Training Program for Innovation and Entrepreneurship (No.202310300044Z)。; In this paper,we establish a delayed predator-prey model with nonlocal fear effect.Firstly,the existence,uniqueness,and persistence of solutions of the model are studied.Then,the local stability,Turing bifurcation,and...; 关键词：Delay Nonlocal fear effect Global stability Hopf bifurcation

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