CODIMENSION

作品数：61被引量：66H指数：5
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具有食饵避难所的离散捕食者-食饵模型的余维二分支分析
《Chinese Quarterly Journal of Mathematics》2024年第2期128-143,共16页庞茹一 陈巧玲 
Supported by the National Natural Science Foundation of China(Grant No.12271421);The Shaanxi Province Innovation Talent Promotion Plan Project(Grant No.2023KJXX-056).
In this paper,a discrete predator-prey model with prey refuge is investigated.It is proved that the model undergoes codimension-2 bifurcations associated with 1:2 and 1:3 resonances.The bifurcation diagrams and phase ...
关键词：REFUGE Discrete predator-prey model Codimension-2 bifurcations CHAOS 
Mean Curvature Flow of Arbitrary Codimension in Complex Projective Spaces
《Chinese Annals of Mathematics,Series B》2023年第6期857-892,共36页Li LEI Hongwei XU 
supported by the National Natural Science Foundation of China(Nos.12071424,11531012,12201087).
Recently,Pipoli and Sinestrari[Pipoli,G.and Sinestrari,C.,Mean curvature flow of pinched submanifolds of CPn,Comm.Anal.Geom.,25,2017,799-846]initiated the study of convergence problem for the mean curvature flow of sm...
关键词：Mean curvature flow Submanifolds of arbitrary codimension Complex projective space Convergence theorem Differentiable sphere theorem 
Complex dynamics of a discrete-time SIR model with nonlinear incidence and recovery rates
《International Journal of Biomathematics》2023年第8期1-45,共45页Xiao Yu Ming Liu Zhaowen Zheng Dongpo Hu 
supported by the NSF of Shandong Province(ZR2021MA016,ZR2019MA034,ZR2018BF018);the China Postdoctoral Science Foundation(2019M652349);the Youth Creative Team Sci-Tech Program of Shandong Universities(2019KJI007).
In this paper,a discrete-time SIR epidemic model with nonlinear incidence and recovery rates is obtained by using the forward Euler’s method.The existence and stability of fixed points in this model are well studied....
关键词：Discrete-time SIR epidemic model nonlinear incidence rate nonlinear recovery rate codimension-one bifurcation codimension-two bifurcation 
Codimension-2 bifurcation in a discrete predator-prey system with constant yield predator harvesting
《International Journal of Biomathematics》2023年第5期165-191,共27页Anuraj Singh Vijay Shankar Sharma 
supported by Science Engineering Research Board,Government of India (CRG/2021/006380).
This work investigates the bifurcation analysis in a discrete-time Leslie-Gower predatorprey model with constant yield predator harvesting.The stability analysis for the fixed points of the discretized model is shown ...
关键词：Flip bifurcation Neimark-Sacker bifurcation generalized fip bifurcation Bogdanov-Takens bifurcation HARVESTING 
Affine Pólya-Szegö inequality on the Steiner rearrangement in any codimension
《Science China Mathematics》2022年第3期517-538,共22页Youjiang Lin 
supported by National Natural Science Foundation of China(Grant No.11971080);the Basic and Advanced Research Project of Chongqing,Chongqing Science and Technology Commission(Grant Nos.cstc2015jcyj A00009 and cstc2018jcyj AX0790);Scientific and Technological Research Program of Chongqing Municipal Education Commission(Grant No.KJ1500628)。
The affine Pólya-Szegö inequality on the Steiner rearrangement in any codimension is proved.We not only define the k-Orlicz-Sobolev balls on Sobolev functions and prove the corresponding affine Pólya-Szegö inequalit...
关键词：Pólya-Szegöinequality Steiner symmetrization Schwarz spherical symmetrization affine isoperimetric inequality 
A New Elliptic Measure on Lower Dimensional Sets
《Acta Mathematica Sinica,English Series》2019年第6期876-902,共27页Guy DAVID Joseph FENEUIL Svitlana MAYBORODA 
partially supported by the ANR,programme blanc GEOMETRYA ANR-12-BS01-0014;the European Community Marie Curie grant MANET 607643 and H2020 grant GHAIA 777822;the Simons Collaborations in MPS grant 601941,GD;supported by the NSF INSPIRE Award DMS1344235;NSF CAREER Award DMS 1220089;the NSF RAISE-TAQ grant DMS 1839077;the Simons Fellowship;the Simons Foundation grant 563916,SM
The recent years have seen a beautiful breakthrough culminating in a comprehensive understanding of certain scale-invariant properties of n-1 dimensional sets across analysis, geometric measure theory, and PDEs. The p...
关键词：ELLIPTIC MEASURE in higher CODIMENSION DEGENERATE ELLIPTIC operators absolute continuity Dahlberg’s theorem DIRICHLET SOLVABILITY 
Finite Determinacy of High Codimension Smooth Function Germs
《Applied Mathematics(A Journal of Chinese Universities)》2019年第1期92-99,共8页GAN Wen-liang PEI Dong-he LI Qiang GAO Rui-mei 
Supported by the National Natural Science Foundation of China(11671070,11501051);NSF of Heilongjiang Province of China(QC2016008);the Project of Science and Technology of Jilin Provincial Education Department(JJKH2090547KJ)
Mather gave the necessary and suffcient conditions for the ?nite determinacy smooth function germs with no more than codimension 4. The theorem is very effective on determining low codimension smooth function germs. I...
关键词：function GERM JACOBIAN ideal DIFFEOMORPHISM right EQUIVALENCE 
Effects of second diffusing component and cross diffusion on primary and secondary thermoconvective instabilities in couple stress liquids被引量：1
《Applied Mathematics and Mechanics(English Edition)》2017年第11期1579-1600,共22页R.RAVI C.KANCHANA P.G.SIDDHESHWAR 
the University Grants Commission (UGC), New Delhi, India for supporting her research work with a Rajiv Gandhi National Fellowship
Linear and weakly nonlinear analyses are made for the Rayleigh-Benard convection in two-component couple-stress liquids with the Soret effect. Conditions for pitchfork, Hopf, Takens-Bogdanov, and codimension-two bifur...
关键词：codimension-two Eckhaus INVERTED LORENZ Newell-Whitehead-Segel Nusselt number Rayleigh-B^nard secondary instability Sherwood number Takens-Bogdanov ZIGZAG 
Cohen-Macaulay Lexsegment Complexes in Arbitrary Codimension
《Algebra Colloquium》2017年第3期401-406,共6页Siamak Yassemi Rahim Zaare-Nahandi 
We characterize pure lexsegment complexes which are Cohen-Macaulay in arbitrary codimension. More precisely, we prove that any lexsegment complex is Cohen- Macaulay if and only if it is pure and its 1-dimensional link...
关键词：squarefree lexsegment ideal Cohen-Macaulay complex Buchsbaum complex flag complex CMT COMPLEX 
Bogdanov-Takens bifurcation with codimension three of a predator-prey system suffering the additive Allee effect
《International Journal of Biomathematics》2017年第3期261-284,共24页Yanwei Liu Zengrong Liu Ruiqi Wang 
The authors would like to thank the anonymous reviewers for their valuable comments and suggestions. This research is supported by the National Natural Science Foundation of China （No. 11171206）. This research is also sponsored by the Research Fund for the Doctoral Program of Zhengzhou University of Light Industry.
In the present work, research efforts have focused on investigating codimension two and three Bogdanov-Takens bifurcations of a predator-prey system with additive Allee effect. According to the existence conditions of...
关键词：Bogdanov-Takens bifurcation Allee effect universal unfolding 
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