Meng Bai

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All published works

Action	Title	Year	Authors
+ PDF Chat	Analysis of a free boundary problem modeling spherically symmetric tumor growth with angiogenesis and a periodic supply of nutrients	2023	Shihe Xu Meng Bai
+ PDF Chat	Stability of positive steady-state solutions to a time-delayed system with some applications	2021	Shihe Xu Fangwei Zhang Meng Bai
+	Bifurcation of a Mathematical Model for Tumor Growth with Angiogenesis and Gibbs–Thomson Relation	2021	Shihe Xu Meng Bai Fangwei Zhang
+	Remarks on pressure regularity criterion for the 3D Boussinesq equations	2018	Longshen Liu Meng Bai
+ PDF Chat	Asynchronous exponential growth for a two-phase size-structured population model and comparison with the corresponding one-phase model	2018	Meng Bai Shihe Xu
+	Qualitative analysis of a free boundary problem for tumor growth under the action of periodic external inhibitors	2017	Shihe Xu Meng Bai Zhong Wang Fangwei Zhang
+ PDF Chat	Analysis of a free boundary problem for tumor growth with Gibbs-Thomson relation and time delays	2017	Shihe Xu Meng Bai Fangwei Zhang
+ PDF Chat	Analysis of a time-delayed mathematical model for tumour growth with an almost periodic supply of external nutrients	2017	Shihe Xu Meng Bai Fangwei Zhang
+ PDF Chat	Blow-up criteria for the three dimensional nonlinear dissipative system modeling electro-hydrodynamics	2016	Jihong Zhao Meng Bai
+ PDF Chat	Analysis of a free boundary problem for avascular tumor growth with a periodic supply of nutrients	2016	Shihe Xu Yinhui Chen Meng Bai
+	Analysis of a time-delayed mathematical model for solid avascular tumor growth under the action of external inhibitors	2015	Shihe Xu Yinhui Chen Meng Bai
+	Mathematical analysis of population migration and its effects to spread of epidemics	2015	Shangbin Cui Meng Bai
+	Global existence of solutions for a nonlinear size-structured population model with distributed delay in the recruitment	2015	Meng Bai Shihe Xu
+	Blow-up Criteria for the Three Dimensional Nonlinear Dissipative System Modeling Electro-hydrodynamics	2015	Jihong Zhao Meng Bai
+	Time delays in proliferation process for solid avascular tumor under the action of external inhibitors	2014	Shihe Xu Meng Bai
+	Qualitative analysis of a time‐delayed free boundary problem for tumor growth under the action of external inhibitors	2014	Shihe Xu Qinghua Zhou Meng Bai
+	Stability of solutions to a mathematical model for necrotic tumor growth with time delays in proliferation	2014	Shihe Xu Meng Bai
+	Balanced Exponential Growth for a Size-structured Two-phase Population Model with Delayed Birth Process	2014	Meng Bai Feng Zhaoyong Shihe Xu Liu Chengxia
+	Mathematical analysis of population migration and its effects to spread of epidemics	2014	Shangbin Cui Meng Bai
+	On a two-phase size-structured population model with infinite states-at-birth and distributed delay in birth process	2014	Meng Bai Shihe Xu
+	Global Existence of Solution for a Nonlinear Size-structured Population Model with Distributed Delay in the Recruitment	2014	Meng Bai Shihe Xu
+ PDF Chat	On the diophantine equation $(x+1)^2+(x+2)^2+...+(x+d)^2=y^n$	2013	Meng Bai Zhongfeng Zhang
+	Analysis of a time-delayed mathematical model for tumour growth with inhibitors	2013	Shihe Xu Xiao Wu Meng Bai Xiangqing Zhao
+	On the Diophantine Equation Ax~2+By~(2p)=z~5	2013	Meng Bai
+	On a size-structured population model with infinite states-at-birth and distributed delay in birth process	2012	Meng Bai Shihe Xu
+	Analysis of a solid avascular tumor growth model with time delays in proliferation process	2012	Shihe Xu Meng Bai Xiangqing Zhao
+	On the Teaching of Real Variable Functions for the Financial Mathematics Majors	2012	Meng Bai
+	Analysis of a two-phase cell division model	2011	Meng Bai Shangbin Cui
+	WELL-POSEDNESS AND ASYNCHRONOUS EXPONENTIAL GROWTH OF SOLUTIONS OF A TWO-PHASE CELL DIVISION MODEL	2010	Meng Bai Shangbin Cui
+	Well-posedness for a Free Boundary Problem Modeling Protocells	2009	Meng Bai Shangbin Cui

Common Coauthors

Coauthor	Papers Together
Shihe Xu	18
Shangbin Cui	5
Fangwei Zhang	3
Fangwei Zhang	2
Yinhui Chen	2
Jihong Zhao	2
Xiangqing Zhao	2
Qinghua Zhou	1
Shihe Xu	1
Xiao Wu	1
Liu Chengxia	1
Longshen Liu	1
Feng Zhaoyong	1
Zhong Wang	1
Zhongfeng Zhang	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Analysis of mathematical models for the growth of tumors with time delays in cell proliferation	2007	Shangbin Cui Shihe Xu	13
+	Time delays in proliferation process for solid avascular tumour	2003	Urszula Foryś Marek Bodnar	12
+ PDF Chat	Analysis of a mathematical model for the growth of tumors	1999	Avner Friedman Fernando Reitich	11
+ PDF Chat	Analysis of a mathematical model of the effect of inhibitors on the growth of tumors	2000	Shangbin Cui Avner Friedman	11
+	The effect of time delays on the dynamics of avascular tumor growth	1997	Helen M. Byrne	11
+	Time Delay In Necrotic Core Formation	2005	Marek Bodnar Urszula Foryś	11
+	Growth of nonnecrotic tumors in the presence and absence of inhibitors	1995	Helen M. Byrne Mark A. J. Chaplain	11
+	Analysis of a Free Boundary Problem Modeling Tumor Growth	2005	Shang Bin Cui	9
+	Growth of necrotic tumors in the presence and absence of inhibitors	1996	Helen M. Byrne Mark A. J. Chaplain	9
+	Analysis of a solid avascular tumor growth model with time delays in proliferation process	2012	Shihe Xu Meng Bai Xiangqing Zhao	9
+	Models for the Growth of a Solid Tumor by Diffusion	1972	H. P. Greenspan	9
+ PDF Chat	One-parameter semigroups for linear evolution equations	2001	Klaus‐Jochen Engel Rainer Nagel	8
+	Analysis of tumor growth under direct effect of inhibitors with time delays in proliferation	2008	Shihe Xu	7
+	Hopf bifurcation in a solid avascular tumour growth model with two discrete delays	2007	Monika Joanna Piotrowska	7
+	Analysis of a mathematical model for the growth of tumors under the action of external inhibitors	2002	Shangbin Cui	7
+ PDF Chat	One-parameter Semigroups of Positive Operators	1986	Wolfgang Arendt Annette Grabosch Günther Greiner Ulrich Moustakas Rainer Nagel Ulf Schlotterbeck Ulrich Groh Heinrich P. Lotz Frank Neubrander	7
+ PDF Chat	Modelling aspects of cancer dynamics: a review	2006	Helen M. Byrne Tomás Alarcón Markus R. Owen S. David Webb Philip K. Maini	6
+	Solid tumour growth analysis of necrotic core formation	2005	Urszula Foryś A. Mokwa-Borkowska	6
+	Modelling the Internalization of Labelled Cells in Tumour Spheroids	1999	Kary E. Thompson	6
+	The nonnegativity of solutions of delay differential equations	2000	Marek Bodnar	5
+ PDF Chat	On a size-structured two-phase population model with infinite states-at-birth	2009	József Z. Farkas Peter Hinow	5
+	Semigroup Analysis of Structured Parasite Populations	2010	József Z. Farkas Darren M. Green Peter Hinow	5
+	Time delays in proliferation and apoptosis for solid avascular tumour	2003	Urszula Foryś Mikhail Kolev	5
+	Theory of Functional Differential Equations	1977	Jack K. Hale	5
+	Balanced Exponential Growth of Operator Semigroups	1998	Horst R. Thieme	5
+	FORMATION OF NECROTIC CORES IN THE GROWTH OF TUMORS: ANALYTIC RESULTS	2006	Shangbin Cui	5
+	The Ecology and Evolutionary Biology of Cancer: A Review of Mathematical Models of Necrosis and Tumor Cell Diversity	2005	John D. Nagy	5
+	Time delays in regulatory apoptosis for solid avascular tumour	2003	Urszula Foryś Marek Bodnar	5
+	Interactions Between the Immune System and Cancer: A Brief Review of Non-spatial Mathematical Models	2010	Raluca Eftimie Jonathan L. Bramson David J. D. Earn	5
+	Mathematical modelling of avascular-tumour growth II: modelling growth saturation	1999	John Ward	5
+	Asynchronous exponential growth for an age dependent population equation with delayed birth process	2005	Susanna Piazzera Lorenza Tonetto	5
+	Asynchronous exponential growth in an age structured population of proliferating and quiescent cells	2002	Janet Dyson Rosanna Villella-Bressan Glenn F. Webb	4
+	Exponential decay for the fragmentation or cell-division equation	2004	Benoı̂t Perthame Lenya Ryzhik	4
+	Semigroups of Linear Operators and Applications to Partial Differential Equations	1983	A. Pazy	4
+	A history of the study of solid tumour growth: the contribution of mathematical modelling	2004	Robyn P. Araujo	4
+	Semigroups and Linear Partial Differential Equations with Delay	2001	András Bátkai Susanna Piazzera	4
+	Analysis of a mathematical model for tumor growth under indirect effect of inhibitors with time delay in proliferation	2010	Shihe Xu Zhaoyong Feng	3
+	Analysis of a mathematical model for tumor growth with Gibbs–Thomson relation	2017	Junde Wu	3
+	One-parameter semigroups	1987	Ph.P.J.E. Clément H.J.A.M. Heijmans Sigurd Angenent C.J. van Duijn B. de Pagter	3
+	Stationary solutions of a free boundary problem modeling the growth of tumors with Gibbs–Thomson relation	2015	Junde Wu	3
+	Analysis of a delayed free boundary problem for tumor growth	2010	Shihe Xu	3
+	A new regularity class for the Navier-Stokes equations in R^n	1995	da Veiga Hugo Beirao	3
+	Necessary and Sufficient Conditions for Asynchronous Exponential Growth in Age Structured Cell Populations with Quiescence	1997	O. Arino Esteban Morcillo Sánchez Glenn F. Webb	3
+	Analysis of a two-phase cell division model	2011	Meng Bai Shangbin Cui	3
+	SELF-REGULATION OF GROWTH IN THREE DIMENSIONS	1973	Judah Folkman Mark S. Hochberg	3
+	An age‐dependent population equation with delayed birth process	2004	Susanna Piazzera	3
+	Transport Equations in Biology	2006	Benoı̂t Perthame	3
+	Hopf bifurcation of a free boundary problem modeling tumor growth with two time delays	2008	Shihe Xu	3
+	The asynchronous exponential growth property in a model for the kinetic heterogeneity of tumour cell populations	2004	O. Arino A. Bertuzzi Alberto Gandolfi Esteban Morcillo Sánchez Carmela Sinisgalli	2
+	The effects of spatial movement and group interactions on disease dynamics of social animals	2003	Ivana Gudelj	2