REACTION-DIFFUSION

作品数:131被引量:124H指数:5
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相关领域:理学更多>>
相关作者:李扬荣陈含爽路钢黄建华李嘉更多>>
相关机构:西南大学六盘水师范学院哈尔滨工业大学国防科学技术大学更多>>
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相关基金:国家自然科学基金国家重点基础研究发展计划国家教育部博士点基金贵州省科学技术基金更多>>
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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 Reaction-Diffusion SIR Model with Saturated Incidence Rate and Vaccination
《Journal of Applied Mathematics and Physics》2025年第2期400-418,共19页Shaoyi Geng Xiaolin Lin Danfeng Pang Guoqing Li 
In this paper, we establish an SIR reaction-diffusion infectious disease model with saturated incidence rate and vaccination. Firstly, we prove the uniform boundedness of the solution of this model. Secondly, we estab...
关键词:Reaction-Diffusion Model Saturated Incidence Rate Basic Reproduction Number Threshold Dynamics Asymptotic Profile 
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 
Propagation dynamics of a reaction-diffusion two-group SIR epidemic model with constant recruitment
《International Journal of Biomathematics》2024年第6期41-63,共23页Lin Zhao Bang-Sheng Han 
L.Zhao was supported by the National Natural Science Foundation of China(12161052);Natural Science Foundation of Gansu,China(21JR7RA240).
In this paper,we focus on asymptotic speeds of spread for a reaction-diffusion two-group SIR epidemic model with constant recruitment,which lacks the comparison principle.More precisely,if R_(0)<1,then the solution of...
关键词:A reaction-diffusion system two-group SIR epidemic model constant recruit-ment asymptotic speeds of spread 
Investigating the effect of three different types of diffusion on the stability of a Leslie-Gower type predator-prey system
《International Journal of Biomathematics》2024年第6期111-139,共29页Hongyu Chen Chunrui Zhang 
In this paper,we consider a Leslie-Gower type reaction-diffusion predator-prey system with an increasing functional response.We mainly study the effect of three different types of diffusion on the stability of this sy...
关键词:Predator-prey system reaction-diffusion-ordinary differential equations Turing instability Turing-Hopf bifurcation normal form 
Spatial dynamics of a reaction-diffusion SIS epidemic model with mass-action-type nonlinearity
《International Journal of Biomathematics》2024年第4期75-104,共30页Renhu Wang Xuezhong Wang 
supported by the NNSF of China(Grant No.12061032).
This work is devoted to investigate the global asymptotic stability of equilibriums for a reaction-diffusion susceptible-infected-susceptible(SIS)epidemic model with spatial heterogeneity and mass-action-type nonlinea...
关键词:DISCRETIZATION basic reproduction number Lyapunov functional global stability spatial heterogeneity 
Dynamics of a Reaction-diffusion-ODE System in a Heterogeneous Media
《Acta Mathematicae Applicatae Sinica》2024年第2期275-301,共27页Cong-hui ZHANG Hai-feng ZHANG Mei-rong ZHANG 
supported by National Natural Science Foundation of China(Grant No.11790273,52276028).
The existence and stability of stationary solutions for a reaction-diffusion-ODE system are investigated in this paper.We first show that there exist both continuous and discontinuous stationary solutions.Then a good ...
关键词:reaction-diffusion-ODE system discontinuous stationary solutions stability asymptotic behavior monotone solutions 
Cross-diffusion induced Turing instability of Hopf bifurcating periodic solutions in the reaction-diffusion enzyme reaction model
《International Journal of Biomathematics》2024年第4期133-150,共18页Haicheng Liu Wenshuo Yuan Bin Ge Jihong Shen 
supported by Scientific Research and Innovation Fund for PhD Student:Research on the bifurcation problems of diffusive oncolytic virotherapy system(No.3072022CFJ2401).
Aiming at the spatial pattern phenomenon in biochemical reactions,an enzyme-reaction Sporns-Seelig model with cross-diffusion is chosen as study object.Applying the central manifold theory,normal form method,local Hop...
关键词:Sporns-Seelig model diffusion Hopf bifurcation periodic solutions Turing instability 
Investigation of improving the thermophysical properties and corrosion resistance of RE_(2)SiO_(5)/RE_(2)Si_(2)O_(7)multiphase silicates by component design with RE doping被引量:1
《Journal of Advanced Ceramics》2024年第6期842-860,共19页Zeyu Chen Yiling Huang Zhaoxuan Zhang Wei Zheng Xuemei Song Yaran Niu Yi Zeng 
supported by the National Key R&D Program of China(No.2023YFF0719800).
In this research,a novel method for regulating components in RE_(2)SiO_(5)/RE_(2)Si_(2)O_(7)multiphase silicates was developed,combining the benefits of a suitable thermal expansion coefficient(CTE)and outstanding cor...
关键词:thermal conductivity environmental barrier coatings(EBCs) thermal expansion coefficient(CTE) multiphase silicates calcium-magnesium-alumino-silicate(CMAS)corrosion resistance REACTION-DIFFUSION 
Mechanism analysis of regulating Turing instability and Hopf bifurcation of malware propagation in mobile wireless sensor networks
《Chinese Physics B》2024年第6期125-140,共16页黄习习 肖敏 Leszek Rutkowski 包海波 黄霞 曹进德 
Project supported by the National Natural Science Foundation of China (Grant No. 62073172);the Natural Science Foundation of Jiangsu Province of China (Grant No. BK20221329)。
A dynamical model is constructed to depict the spatial-temporal evolution of malware in mobile wireless sensor networks(MWSNs). Based on such a model, we design a hybrid control scheme combining parameter perturbation...
关键词:mobile wireless sensor networks REACTION-DIFFUSION Hopf bifurcation hybrid control 
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