CROSS-DIFFUSION

作品数:38被引量:37H指数:4
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相关领域:理学更多>>
相关期刊:《Journal of Mathematical Research with Applications》《Communications in Nonlinear Science and Numerical Simulation》《Science China Mathematics》《International Journal of Biomathematics》更多>>
相关基金:国家自然科学基金北京市自然科学基金中国博士后科学基金更多>>
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Magnetohydrodynamics bio-convection flow at Casson fluid stagnation point in porous medium:Cross-diffusion effect and heat production
《Propulsion and Power Research》2024年第3期445-457,共13页Snehal Patel Harshad R.Patel 
This study examines the effect of heat production and radiation absorption on the magnetohydrodynamic Cassonfluidflow at the stagnation point in a porous medium.We convert the group offluidflow equations,which are non...
关键词:Cassonfluid Magnetohydrodynamics(MHD) Stagnation pointflow Thermal radiation Heat source/sink Soret effect 
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 
Homogeneity-Breaking Instability of Periodic Solutions of Gierer-Meindardt Model
《Journal of Harbin Institute of Technology(New Series)》2024年第2期62-67,共6页Aying Wan Zhiqiang Song Hongyan Lin Nan Xiang 
Sponsored by the National Natural Science Foundation of China(Grant Nos.12061033,2020GG0130,2020MS04007,2020BS11,and NJZZ22286).
The homogeneity-breaking instability of the periodic solutions triggered by Hopf bifurcations of a diffusive Gierer-Meinhart system is studied in this paper.Sufficient conditions on the diffusion coefficients and the ...
关键词:Gierer-Meindardt model CROSS-DIFFUSION homogeneity-breaking instability Hopf bifurcations 
Convergence Towards the Population Cross-Diffusion System from Stochastic Many-Particle System
《Communications in Mathematical Research》2024年第1期43-63,共21页Yue Li Li Chen Zhipeng Zhang 
funding from the European Research Council (ERC)under the European Union's Horizon 2020 research and innovation programme,ERC Advanced Grant No.101018153;support from the Austrian Science Fund (FWF) (Grants P33010,F65);supported by the NSFC (Grant No.12101305).
In this paper,we derive rigorously a non-local cross-diffusion system from an interacting stochastic many-particle system in the whole space.The convergence is proved in the sense of probability by introducing an inte...
关键词:Stochastic particle systems cross-diffusion system mean-field limit population dynamics 
Cross-Diffusion Effects on an MHD Williamson Nanofluid Flow Past a Nonlinear Stretching Sheet Immersed in a Permeable Medium
《Frontiers in Heat and Mass Transfer》2024年第1期15-34,共20页R.Madan Kumar R.Srinivasa Raju F.Mebarek-Oudina M.Anil Kumar V.K.Narla 
The primary aim of this research endeavor is to examine the characteristics of magnetohydrodynamicWilliamson nanofluid flow past a nonlinear stretching surface that is immersed in a permeable medium.In the current ana...
关键词:Magnetohydrodynamics(MHD) Williamson nanofluid Soret&Dufour effects 
Turing pattern selection for a plant-wrack model with cross-diffusion
《Chinese Physics B》2023年第9期128-136,共9页孙颖 王进良 李由 江南 夏娟迪 
the National Natural Science Foundation of China(Grant Nos.10971009,11771033,and12201046);Fundamental Research Funds for the Central Universities(Grant No.BLX201925);China Postdoctoral Science Foundation(Grant No.2020M670175)。
We investigate the Turing instability and pattern formation mechanism of a plant-wrack model with both self-diffusion and cross-diffusion terms.We first study the effect of self-diffusion on the stability of equilibri...
关键词:plant-wrack model CROSS-DIFFUSION Turing instability pattern selection amplitude equation 
The Existence and Non-Existence of Positive Steady State Solutions for a Cross-Diffusion Predator-Prey Model with Holling Type Ⅱ Functional Response
《Journal of Mathematical Research with Applications》2021年第4期383-392,共10页Shuping CAO Li-na ZHANG 
Supported by the National Natural Science Foundation of China(Grant No.11761063).
In this paper,we consider the positive steady state solutions of a predator-prey model with Holling type Ⅱfunctional response and cross-diffusion,where two cross-diffusion rates represent the tendency of prey to keep...
关键词:predator-prey model Holling typeⅡfunctional response CROSS-DIFFUSION coexistence states 
ALCencryption:A Secure and Efficient Algorithm for Medical Image Encryption被引量:1
《Computer Modeling in Engineering & Sciences》2020年第12期1083-1100,共18页Jiao Ge 
This work is partly supported by the Scientific Research Fund of Hunan Provincial Education Department(19B082);the Science and Technology Development Center of the Ministry of Education-New Generation Information Technology Innovation Project(2018A02020);the research supported by Science Foundation of Hengyang Normal University(19QD12);the Science and Technology Innovation Program of Hunan Province(2016TP1020);the Application-oriented Special Disciplines,Double First-Class University Project of Hunan Province(Xiangjiaotong[2018]469);the Hunan Province Special Funds of Central Government for Guiding Local Science and Technology Development(2018CT5001);the Subject Group Construction Project of Hengyang Normal University(18XKQ02).
With the rapid development of medical informatization and the popularization of digital imaging equipment,DICOM images contain the personal privacy of patients,and there are security risks in the process of storage an...
关键词:Patient privacy DICOM medical image encryption scrambling degree CROSS-DIFFUSION 
The Stability of Nontrivial Positive Steady States for the SKT Model with Large Cross Diffusion
《Acta Mathematicae Applicatae Sinica》2020年第3期657-669,共13页Qing LI Qian XU 
supported by the National Natural Science Foundation of China(No.11871048,No.11501031,No.11471221,No.11501016);Premium Funding Project for Academic Human Resources Development in Beijing Union University(BPHR2019CZ07,BPHR2020EZ01);Beijing Municipal Education Commission(KZ201310028030,KM202011417010)。
This paper is concerned with the existence and stability of steady state solutions for the SKT biological competition model with cross-diffusion.By applying the detailed spectral analysis and in virtue of the bifurcat...
关键词:spectral analysis STABILITY cross-diffusion system 
Spatiotemporal patterns induced by cross-diffusion in predator prey model with prey herd shape effect被引量:5
《International Journal of Biomathematics》2020年第4期233-270,共38页Salih Djilali 
In this paper,we investigate a predator-prey model with herd behavior and cross-diffusion subject to the zero flux boundary conditions.First,the temporal behavior of the model has been investigated,where Hopf bifurcat...
关键词:Mathematical biology BIFURCATION pattern formation asymptotic behavior of solutions 
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