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Fu, Shengmao

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 Author ID: fu.shengmao Published as: Fu, Shengmao; Fu, S.; Fu, Sheng-mao
 Documents Indexed: 102 Publications since 1985
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Co-Authors

 3 single-authored 10 Zhang, Lina 9 Wang, Weiming 8 Cai, Yongli 8 Cao, Huaihuo 8 Cui, Shangbin 7 Gao, Haiyan 7 Wen, Zijuan 4 Gao, Xiaoyan 4 Jiao, Yujuan 3 Chen, Meijun 3 Guo, Ling 3 Hu, Ping 3 Ma, Ruyun 2 Hu, Xiaoli 2 Li, Wanjun 2 Li, Xiaojuan 2 Liu, Ji 2 Ma, Zuojun 2 Miao, Liangying 2 Qu, Fei 2 Rao, Feng 2 Shi, Hongbo 2 Sun, Liangliang 2 Yang, Fang 2 Yang, Xiaoli 2 Zhang, Faqin 2 Zhang, Huisen 2 Zhang, Lili 1 Adam, Badradeen 1 Ai, Shangbing 1 Cao, Fenli 1 Chen, Anning 1 Dong, Chunyan 1 Dong, Zhongqi 1 Gao, Huayan 1 He, Xue 1 Hou, Fanglan 1 Hu, Rongrong 1 Huang, Guangjian 1 Huang, Kaigang 1 Ishag, Sadia 1 Jia, Yanfei 1 Li, Haiyan 1 Li, Qiwei 1 Li, Xinxin 1 Li, Zhancun 1 Liu, Li-Bin 1 Ma, Wenjun 1 Mohammed, Hassan Suleman Esmael 1 Qiao, Ting 1 Rung, Thomas 1 Si, Pengju 1 Su, Faru 1 Sun, Jiaojiao 1 Tang, Zhongwei 1 Thiele, Frank 1 Wang, Yanli 1 Wang, Yu-Jie 1 Wu, Shouyan 1 Wu, Shujuan 1 Xu, Shenghu 1 Yan, Sha 1 Yang, He 1 Yang, Xiaoyong 1 Zhang, Jihui 1 Zhao, Huiqin 1 Zhao, Yanzhong
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Serials

 14 Journal of Northwest Normal University. Natural Science 7 Journal of Biomathematics 7 Nonlinear Analysis. Real World Applications 6 Journal of Lanzhou University. Natural Sciences 5 Boundary Value Problems 4 Computers & Mathematics with Applications 4 Journal of Mathematical Analysis and Applications 4 Abstract and Applied Analysis 3 Acta Mathematicae Applicatae Sinica 3 International Journal of Biomathematics 2 Journal of the Franklin Institute 2 Mathematical Methods in the Applied Sciences 2 Applied Mathematics and Computation 2 Mathematics in Practice and Theory 2 Mathematica Applicata 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Journal of Shandong University. Natural Science 2 Acta Mathematica Sinica. Chinese Series 1 Applicable Analysis 1 International Journal of Systems Science 1 Rocky Mountain Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Real Analysis Exchange 1 Journal of Mathematical Research & Exposition 1 Chinese Annals of Mathematics. Series A 1 Journal of Systems Science and Mathematical Sciences 1 Annals of Differential Equations 1 Applied Mathematics Letters 1 Journal of Natural Science of Heilongjiang University 1 Complexity 1 Mathematical Problems in Engineering 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Chaos 1 Flow, Turbulence and Combustion 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Turbulence 1 Discrete and Continuous Dynamical Systems. Series B 1 Basic Sciences Journal of Textile Universities 1 Journal of Applied Mathematics 1 Advances in Difference Equations 1 International Journal of Information & Systems Sciences 1 Advances in Mathematical Physics 1 Chinese Journal of Engineering Mathematics 1 Journal of Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications
all top 5

Fields

 84 Biology and other natural sciences (92-XX) 78 Partial differential equations (35-XX) 16 Ordinary differential equations (34-XX) 5 Dynamical systems and ergodic theory (37-XX) 2 Numerical analysis (65-XX) 2 Fluid mechanics (76-XX) 2 Systems theory; control (93-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 General topology (54-XX)

Citations contained in zbMATH Open

41 Publications have been cited 326 times in 280 Documents Cited by Year
The method of lower and upper solutions for fourth-order two-point boundary value problems. Zbl 0892.34009
Ma, Ruyun; Zhang, Jihui; Fu, Shengmao
1997
Existence of a global coexistence state for periodic competition diffusion systems. Zbl 0871.35051
Fu, Shengmao; Ma, Ruyun
1997
Global behavior of solutions in a Lotka-Volterra predator-prey model with prey-stage structure. Zbl 1292.35042
Fu, Shengmao; Zhang, Lina; Hu, Ping
2013
Impact of the fear effect in a prey-predator model incorporating a prey refuge. Zbl 1428.92099
Zhang, Huisen; Cai, Yongli; Fu, Shengmao; Wang, Weiming
2019
Turing patterns in a diffusive epidemic model with saturated infection force. Zbl 1398.92259
Wang, Weiming; Gao, Xiaoyan; Cai, Yongli; Shi, Hongbo; Fu, Shengmao
2018
Global solutions to a class of multi-species reaction-diffusion systems with cross-diffusions arising in population dynamics. Zbl 1163.92042
Wen, Zijuan; Fu, Shengmao
2009
Uniform boundedness and stability of global solutions in a strongly coupled three-species cooperating model. Zbl 1145.35386
Fu, Shengmao; Wen, Zijuan; Cui, Shangbin
2008
Global stability of a virus dynamics model with intracellular delay and CTL immune response. Zbl 1323.92207
Li, Xiaojuan; Fu, Shengmao
2015
Persistence in a periodic competitor-competitor-mutualist diffusion system. Zbl 0995.35008
Fu, Shengmao; Cui, Shangbin
2001
The effect of the fear factor on the dynamics of a predator-prey model incorporating the prey refuge. Zbl 1420.92122
Wang, Jing; Cai, Yongli; Fu, Shengmao; Wang, Weiming
2019
A fourth-order method of the convection-diffusion equations with Neumann boundary conditions. Zbl 1256.65081
Cao, Huai-Huo; Liu, Li-Bin; Zhang, Yong; Fu, Sheng-mao
2011
Turing instability for a competitor-competitor-mutualist model with nonlinear cross-diffusion effects. Zbl 1372.92096
Wen, Zijuan; Fu, Shengmao
2016
Global stability of the virus dynamics model with intracellular delay and Crowley-Martin functional response. Zbl 1291.34095
Li, Xiaojuan; Fu, Shengmao
2014
Multi-bump bound states for a nonlinear Schrödinger system with electromagnetic fields. Zbl 1304.35637
Fu, Shengmao; Jiao, Yujuan; Tang, Zhongwei
2013
Global bifurcation for a Holling-Tanner predator-prey model with prey-taxis. Zbl 1408.92025
Zhang, Lina; Fu, Shengmao
2019
Global existence and stability of solution of a reaction-diffusion model for cancer invasion. Zbl 1162.34333
Fu, Shengmao; Cui, Shangbin
2009
Spatial pattern formation in the Keller-Segel model with a logistic source. Zbl 1344.92032
Fu, Shengmao; Liu, Ji
2013
Bifurcation and Turing pattern formation in a diffusive ratio-dependent predator-prey model with predator harvesting. Zbl 1430.35020
Gao, Xiaoyan; Ishag, Sadia; Fu, Shengmao; Li, Wanjun; Wang, Weiming
2020
Global solutions for a tritrophic food chain model with diffusion. Zbl 1179.35065
Yang, Fang; Fu, Shengmao
2008
Uniform boundedness and stability of solutions to the three-species Lotka-Volterra competition model with self and cross-diffusion. Zbl 1103.35036
Fu, Shengmao; Gao, Haiyan; Cui, Shangbin
2006
Nonconstant positive steady states of a predator-prey model with cannibalism. Zbl 1346.92054
Fu, Shengmao; Yang, Xiaoli
2012
On global solutions for the three-species food-chain model with cross-diffusion. Zbl 1121.35326
Fu, Shengmao; Wen, Zijuan; Cui, Shangbin
2007
Stability and Hopf bifurcation in a predator-prey model with the cost of anti-predator behaviors. Zbl 1436.34049
Qiao, Ting; Cai, Yongli; Fu, Shengmao; Wang, Weiming
2019
Turing patterns in a reaction-diffusion epidemic model. Zbl 1381.35190
Jia, Yanfei; Cai, Yongli; Shi, Hongbo; Fu, Shengmao; Wang, Weiming
2018
Instability induced by cross-diffusion in a predator-prey model with sex structure. Zbl 1244.92053
Fu, Shengmao; Zhang, Lina
2012
On the realizability of nonlinear stress-strain relationships for Reynolds stress closures. Zbl 0942.76024
Rung, T.; Thiele, F.; Fu, S.
1999
On global solutions for the competitor-competitor-mutualist model with cross-diffusion. Zbl 1164.35047
Fu, Shengmao; Gao, Huayan; Cui, Shangbin
2008
Non-constant positive steady states for a predator-prey cross-diffusion model with Beddington-DeAngelis functional response. Zbl 1218.35121
Zhang, Lina; Fu, Shengmao
2011
Global existence and convergence of solutions to a cross-diffusion cubic predator-prey system with stage structure for the prey. Zbl 1193.35092
Cao, Huaihuo; Fu, Shengmao
2010
A mathematical characterization for patterns of a Keller-Segel model with a cubic source term. Zbl 1274.92011
Fu, Shengmao; Liu, Ji
2013
Instability in a generalized multi-species Keller-Segel chemotaxis model. Zbl 1367.92017
2016
Least energy solutions for a non-linear Schrödinger system with electromagnetic fields and potential wells. Zbl 1291.35343
Fu, Shengmao; Jiao, Yujuan
2014
Positive steady states of a density-dependent predator-prey model with diffusion. Zbl 1404.35193
Huang, Kaigang; Cai, Yongli; Rao, Feng; Fu, Shengmao; Wang, Weiming
2018
Global existence and asymptotic stability in a predator-prey chemotaxis model. Zbl 1436.35228
Fu, Shengmao; Miao, Liangying
2020
Non-constant positive steady states of a host-parasite model with frequency- and density-dependent transmissions. Zbl 1437.92126
Li, Xinxin; Cai, Yongli; Wang, Kai; Fu, Shengmao; Wang, Weiming
2020
Global asymptotic behavior of solutions for a parabolic-parabolic-ODE chemotaxis system modeling multiple sclerosis. Zbl 1445.35287
Hu, Xiaoli; Fu, Shengmao; Ai, Shangbing
2020
Existence of global solution to a two-species Keller-Segel chemotaxis model. Zbl 1385.92010
Gao, Haiyan; Fu, Shengmao; Mohammed, Hassan
2018
Positive steady states in an epidemic model with nonlinear incidence rate. Zbl 1409.92234
Gao, Xiaoyan; Cai, Yongli; Rao, Feng; Fu, Shengmao; Wang, Weiming
2018
On global solutions for a cubic predator-prey cross-diffusion system with stage-structure. Zbl 1191.92044
Cao, Huaihuo; Fu, Shengmao
2008
Global behavior for a diffusive predator-prey model with stage structure and nonlinear density restriction. I: The case in $$\mathbb R^n$$. Zbl 1185.35303
Zhang, Rui; Guo, Ling; Fu, Shengmao
2009
Global existence of solutions for a predator-prey-mutualist model with cross-diffusion. Zbl 1240.35276
Zhang, Lina; Fu, Shengmao
2011
Bifurcation and Turing pattern formation in a diffusive ratio-dependent predator-prey model with predator harvesting. Zbl 1430.35020
Gao, Xiaoyan; Ishag, Sadia; Fu, Shengmao; Li, Wanjun; Wang, Weiming
2020
Global existence and asymptotic stability in a predator-prey chemotaxis model. Zbl 1436.35228
Fu, Shengmao; Miao, Liangying
2020
Non-constant positive steady states of a host-parasite model with frequency- and density-dependent transmissions. Zbl 1437.92126
Li, Xinxin; Cai, Yongli; Wang, Kai; Fu, Shengmao; Wang, Weiming
2020
Global asymptotic behavior of solutions for a parabolic-parabolic-ODE chemotaxis system modeling multiple sclerosis. Zbl 1445.35287
Hu, Xiaoli; Fu, Shengmao; Ai, Shangbing
2020
Impact of the fear effect in a prey-predator model incorporating a prey refuge. Zbl 1428.92099
Zhang, Huisen; Cai, Yongli; Fu, Shengmao; Wang, Weiming
2019
The effect of the fear factor on the dynamics of a predator-prey model incorporating the prey refuge. Zbl 1420.92122
Wang, Jing; Cai, Yongli; Fu, Shengmao; Wang, Weiming
2019
Global bifurcation for a Holling-Tanner predator-prey model with prey-taxis. Zbl 1408.92025
Zhang, Lina; Fu, Shengmao
2019
Stability and Hopf bifurcation in a predator-prey model with the cost of anti-predator behaviors. Zbl 1436.34049
Qiao, Ting; Cai, Yongli; Fu, Shengmao; Wang, Weiming
2019
Turing patterns in a diffusive epidemic model with saturated infection force. Zbl 1398.92259
Wang, Weiming; Gao, Xiaoyan; Cai, Yongli; Shi, Hongbo; Fu, Shengmao
2018
Turing patterns in a reaction-diffusion epidemic model. Zbl 1381.35190
Jia, Yanfei; Cai, Yongli; Shi, Hongbo; Fu, Shengmao; Wang, Weiming
2018
Positive steady states of a density-dependent predator-prey model with diffusion. Zbl 1404.35193
Huang, Kaigang; Cai, Yongli; Rao, Feng; Fu, Shengmao; Wang, Weiming
2018
Existence of global solution to a two-species Keller-Segel chemotaxis model. Zbl 1385.92010
Gao, Haiyan; Fu, Shengmao; Mohammed, Hassan
2018
Positive steady states in an epidemic model with nonlinear incidence rate. Zbl 1409.92234
Gao, Xiaoyan; Cai, Yongli; Rao, Feng; Fu, Shengmao; Wang, Weiming
2018
Turing instability for a competitor-competitor-mutualist model with nonlinear cross-diffusion effects. Zbl 1372.92096
Wen, Zijuan; Fu, Shengmao
2016
Instability in a generalized multi-species Keller-Segel chemotaxis model. Zbl 1367.92017
2016
Global stability of a virus dynamics model with intracellular delay and CTL immune response. Zbl 1323.92207
Li, Xiaojuan; Fu, Shengmao
2015
Global stability of the virus dynamics model with intracellular delay and Crowley-Martin functional response. Zbl 1291.34095
Li, Xiaojuan; Fu, Shengmao
2014
Least energy solutions for a non-linear Schrödinger system with electromagnetic fields and potential wells. Zbl 1291.35343
Fu, Shengmao; Jiao, Yujuan
2014
Global behavior of solutions in a Lotka-Volterra predator-prey model with prey-stage structure. Zbl 1292.35042
Fu, Shengmao; Zhang, Lina; Hu, Ping
2013
Multi-bump bound states for a nonlinear Schrödinger system with electromagnetic fields. Zbl 1304.35637
Fu, Shengmao; Jiao, Yujuan; Tang, Zhongwei
2013
Spatial pattern formation in the Keller-Segel model with a logistic source. Zbl 1344.92032
Fu, Shengmao; Liu, Ji
2013
A mathematical characterization for patterns of a Keller-Segel model with a cubic source term. Zbl 1274.92011
Fu, Shengmao; Liu, Ji
2013
Nonconstant positive steady states of a predator-prey model with cannibalism. Zbl 1346.92054
Fu, Shengmao; Yang, Xiaoli
2012
Instability induced by cross-diffusion in a predator-prey model with sex structure. Zbl 1244.92053
Fu, Shengmao; Zhang, Lina
2012
A fourth-order method of the convection-diffusion equations with Neumann boundary conditions. Zbl 1256.65081
Cao, Huai-Huo; Liu, Li-Bin; Zhang, Yong; Fu, Sheng-mao
2011
Non-constant positive steady states for a predator-prey cross-diffusion model with Beddington-DeAngelis functional response. Zbl 1218.35121
Zhang, Lina; Fu, Shengmao
2011
Global existence of solutions for a predator-prey-mutualist model with cross-diffusion. Zbl 1240.35276
Zhang, Lina; Fu, Shengmao
2011
Global existence and convergence of solutions to a cross-diffusion cubic predator-prey system with stage structure for the prey. Zbl 1193.35092
Cao, Huaihuo; Fu, Shengmao
2010
Global solutions to a class of multi-species reaction-diffusion systems with cross-diffusions arising in population dynamics. Zbl 1163.92042
Wen, Zijuan; Fu, Shengmao
2009
Global existence and stability of solution of a reaction-diffusion model for cancer invasion. Zbl 1162.34333
Fu, Shengmao; Cui, Shangbin
2009
Global behavior for a diffusive predator-prey model with stage structure and nonlinear density restriction. I: The case in $$\mathbb R^n$$. Zbl 1185.35303
Zhang, Rui; Guo, Ling; Fu, Shengmao
2009
Uniform boundedness and stability of global solutions in a strongly coupled three-species cooperating model. Zbl 1145.35386
Fu, Shengmao; Wen, Zijuan; Cui, Shangbin
2008
Global solutions for a tritrophic food chain model with diffusion. Zbl 1179.35065
Yang, Fang; Fu, Shengmao
2008
On global solutions for the competitor-competitor-mutualist model with cross-diffusion. Zbl 1164.35047
Fu, Shengmao; Gao, Huayan; Cui, Shangbin
2008
On global solutions for a cubic predator-prey cross-diffusion system with stage-structure. Zbl 1191.92044
Cao, Huaihuo; Fu, Shengmao
2008
On global solutions for the three-species food-chain model with cross-diffusion. Zbl 1121.35326
Fu, Shengmao; Wen, Zijuan; Cui, Shangbin
2007
Uniform boundedness and stability of solutions to the three-species Lotka-Volterra competition model with self and cross-diffusion. Zbl 1103.35036
Fu, Shengmao; Gao, Haiyan; Cui, Shangbin
2006
Persistence in a periodic competitor-competitor-mutualist diffusion system. Zbl 0995.35008
Fu, Shengmao; Cui, Shangbin
2001
On the realizability of nonlinear stress-strain relationships for Reynolds stress closures. Zbl 0942.76024
Rung, T.; Thiele, F.; Fu, S.
1999
The method of lower and upper solutions for fourth-order two-point boundary value problems. Zbl 0892.34009
Ma, Ruyun; Zhang, Jihui; Fu, Shengmao
1997
Existence of a global coexistence state for periodic competition diffusion systems. Zbl 0871.35051
Fu, Shengmao; Ma, Ruyun
1997
all top 5

Cited by 418 Authors

 29 Journal of Mathematical Analysis and Applications 22 Applied Mathematics and Computation 18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Computers & Mathematics with Applications 11 Nonlinear Analysis. Real World Applications 10 Applicable Analysis 10 Journal of Computational and Applied Mathematics 10 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 10 Advances in Difference Equations 10 Boundary Value Problems 7 Mathematical Methods in the Applied Sciences 7 Applied Mathematics Letters 6 Discrete and Continuous Dynamical Systems. Series B 6 International Journal of Biomathematics 5 Applied Mathematical Modelling 5 Journal of Applied Analysis and Computation 4 Mathematical and Computer Modelling 4 Abstract and Applied Analysis 4 Journal of Applied Mathematics and Computing 3 Rocky Mountain Journal of Mathematics 3 Mathematics and Computers in Simulation 3 Mathematical Problems in Engineering 3 Chaos 3 Discrete Dynamics in Nature and Society 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Applied Mathematics 2 Archive for Rational Mechanics and Analysis 2 Bulletin of the Australian Mathematical Society 2 Journal of the Franklin Institute 2 Mathematical Biosciences 2 Bulletin of Mathematical Biology 2 Chaos, Solitons and Fractals 2 Czechoslovak Mathematical Journal 2 Journal of Differential Equations 2 Zeitschrift für Analysis und ihre Anwendungen 2 Numerical Algorithms 2 Journal of Dynamics and Differential Equations 2 Complexity 2 Nonlinear Analysis. Modelling and Control 2 Journal of Biological Dynamics 2 Advances in Mathematical Physics 2 Journal of Function Spaces 2 Open Mathematics 1 Computers and Fluids 1 Annales Polonici Mathematici 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 Applied Mathematics and Mechanics. (English Edition) 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Numerical Methods for Partial Differential Equations 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Linear Algebra and its Applications 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 Engineering Analysis with Boundary Elements 1 Journal of Applied Analysis 1 Differential Equations and Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Nonlinear Dynamics 1 Journal of Inequalities and Applications 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 1 Acta Mathematica Sinica. English Series 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Communications on Pure and Applied Analysis 1 Journal of Function Spaces and Applications 1 Mathematical Biosciences and Engineering 1 Journal of Nonlinear Science and Applications 1 Differential Equations and Applications 1 Asian Journal of Control 1 Journal of the Korean Society for Industrial and Applied Mathematics 1 S$$\vec{\text{e}}$$MA Journal 1 Mathematical Sciences 1 International Journal of Applied and Computational Mathematics