# zbMATH — the first resource for mathematics

## Zheng, Pan

Compute Distance To:
 Author ID: zheng.pan Published as: Zheng, Pan
 Documents Indexed: 55 Publications since 2011, including 1 Book
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#### Co-Authors

 1 single-authored 46 Mu, Chunlai 14 Hu, Xuegang 10 Wang, Liangchen 7 Ahmed, Iftikhar 6 Zhang, Fuchen 4 Tian, Ya 4 Willie, Robert 3 Liu, Dengming 3 Mi, Yongsheng 3 Zhou, Shouming 2 Li, Dan 2 Li, Ling 2 Li, Nan 2 Lin, Ke 2 Song, Tao 2 Wang, Xun 1 Dennis Wong, M. L. 1 Lin, Da 1 Long, Qiong 1 Parumasur, Nabendra 1 Song, Xiaojun 1 Tu, Xinyu 1 Wong, Mou Ling Dennis 1 Xin, Qiao 1 Xing, Jie 1 Yao, Xianzhong 1 Zhang, Guangyun 1 Zhang, Qinghua 1 Zhang, Qingna 1 Zhang, Yan
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#### Serials

 6 Mathematical Methods in the Applied Sciences 3 Computers & Mathematics with Applications 3 Journal of Mathematical Analysis and Applications 3 Discrete and Continuous Dynamical Systems 3 Discrete and Continuous Dynamical Systems. Series B 3 Boundary Value Problems 2 Applicable Analysis 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Applied Mathematics and Computation 2 Journal of Differential Equations 2 Nonlinear Analysis. Real World Applications 1 Journal of Mathematical Physics 1 Archiv der Mathematik 1 Information Sciences 1 Mathematische Nachrichten 1 Acta Applicandae Mathematicae 1 Differential and Integral Equations 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Journal of Dynamics and Differential Equations 1 Journal of Nonlinear Science 1 Topological Methods in Nonlinear Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Abstract and Applied Analysis 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Journal of Sichuan Normal University. Natural Science 1 Communications in Contemporary Mathematics 1 Journal of Evolution Equations 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Applied Mathematics and Computing 1 Analysis and Applications (Singapore) 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Mathematical Research with Applications 1 Malaya Journal of Matematik 1 International Journal of Analysis and Applications
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#### Fields

 49 Partial differential equations (35-XX) 24 Biology and other natural sciences (92-XX) 3 Ordinary differential equations (34-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Integral equations (45-XX) 2 Computer science (68-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Numerical analysis (65-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH

35 Publications have been cited 286 times in 192 Documents Cited by Year
On a quasilinear parabolic-elliptic chemotaxis system with logistic source. Zbl 1301.35060
Wang, Liangchen; Mu, Chunlai; Zheng, Pan
2014
Global existence and boundedness of classical solutions to a parabolic-parabolic chemotaxis system. Zbl 1261.35072
Mu, Chunlai; Wang, Liangchen; Zheng, Pan; Zhang, Qingna
2013
Boundedness of solutions in a chemotaxis system with nonlinear sensitivity and logistic source. Zbl 1307.35069
Zheng, Pan; Mu, Chunlai; Hu, Xuegang; Tian, Ya
2015
Boundedness and blow-up for a chemotaxis system with generalized volume-filling effect and logistic source. Zbl 1307.35067
Zheng, Pan; Mu, Chunlai; Hu, Xuegang
2015
The dynamical analysis of a new chaotic system and simulation. Zbl 1298.37082
Zhang, Fuchen; Mu, Chunlai; Zheng, Pan; Lin, Da; Zhang, Guangyun
2014
Boundedness and asymptotic stability of solutions to a two-species chemotaxis system with consumption of chemoattractant. Zbl 1380.35025
Wang, Liangchen; Mu, Chunlai; Hu, Xuegang; Zheng, Pan
2018
Global existence of solutions for a fully parabolic chemotaxis system with consumption of chemoattractant and logistic source. Zbl 1333.35093
Zheng, Pan; Mu, Chunlai
2015
On the boundedness and decay of solutions for a chemotaxis-haptotaxis system with nonlinear diffusion. Zbl 1334.35112
Zheng, Pan; Mu, Chunlai; Song, Xiaojun
2016
Boundedness in the higher dimensional attraction-repulsion chemotaxis-growth system. Zbl 1367.92023
Zheng, Pan; Mu, Chunlai; Hu, Xuegang
2016
New results of the ultimate bound on the trajectories of the family of the Lorenz systems. Zbl 1348.37024
Zheng, Pan; Zhou, Shouming; Mu, Chunlai; Zhang, Fuchen
2015
Global boundedness in a two-competing-species chemotaxis system with two chemicals. Zbl 1360.92022
Zheng, Pan; Mu, Chunlai
2017
Global boundedness in a quasilinear chemotaxis system with signal-dependent sensitivity. Zbl 06440060
Zheng, Pan; Mu, Chunlai; Hu, Xuegang; Zhang, Qinghua
2015
Global dynamics in a two-species chemotaxis-competition system with two signals. Zbl 1396.35032
Tu, Xinyu; Mu, Chunlai; Zheng, Pan; Lin, Ke
2018
Global asymptotic stability of steady states in a chemotaxis-growth system with singular sensitivity. Zbl 1409.35103
Zheng, Pan; Mu, Chunlai; Willie, Robert; Hu, Xuegang
2018
Global stability in a two-competing-species chemotaxis system with two chemicals. Zbl 06890404
Zheng, Pan; Mu, Chunlai; Mi, Yongsheng
2018
Boundedness in a three-dimensional Keller-Segel-Stokes system involving tensor-valued sensitivity with saturation. Zbl 1404.35228
Li, Dan; Mu, Chunlai; Zheng, Pan; Lin, Ke
2019
Boundedness and large time behavior in a quasilinear chemotaxis model for tumor invasion. Zbl 1390.35138
Li, Dan; Mu, Chunlai; Zheng, Pan
2018
Boundedness and asymptotic behavior in a fully parabolic chemotaxis-growth system with signal-dependent sensitivity. Zbl 1386.35195
Zheng, Pan; Mu, Chunlai; Wang, Liangchen; Li, Ling
2017
Persistence property in a two-species chemotaxis system with two signals. Zbl 1383.92021
Zheng, Pan; Mu, Chunlai; Hu, Xuegang
2017
Extinction and decay estimates of solutions for a polytropic filtration equation with the nonlocal source and interior absorption. Zbl 1264.35051
Zheng, Pan; Mu, Chunlai
2013
Localization of solutions to a doubly degenerate parabolic equation with a strongly nonlinear source. Zbl 1252.35167
Mu, Chunlai; Zheng, Pan; Liu, Dengming
2012
Extinction and non-extinction for a polytropic filtration equation with absorption and source. Zbl 1246.35020
Mu, Chunlai; Wang, Liangchen; Zheng, Pan
2012
Global dynamics for an attraction-repulsion chemotaxis-(Navier)-Stokes system with logistic source. Zbl 1420.35445
Zheng, Pan; Mu, Chunlai; Hu, Xuegang
2019
Design of logic gates using spiking neural P systems with homogeneous neurons and astrocytes-like control. Zbl 1428.68155
Song, Tao; Zheng, Pan; Dennis Wong, M. L.; Wang, Xun
2016
Blow-up and global existence for the non-local reaction diffusion problem with time dependent coefficient. Zbl 1295.35120
Ahmed, Iftikhar; Mu, Chunlai; Zheng, Pan; Zhang, Fuchen
2013
Boundedness in a chemotaxis model with exponentially decaying diffusivity and consumption of chemoattractant. Zbl 1396.92011
Wang, Liangchen; Hu, Xuegang; Zheng, Pan; Li, Ling
2017
Global existence and decay for a chemotaxis-growth system with generalized volume-filling effect and sublinear secretion. Zbl 1373.35167
Zheng, Pan; Mu, Chunlai; Mi, Yongsheng
2017
Extinction behavior of solutions for a quasilinear parabolic system with nonlocal sources. Zbl 1390.35133
Zheng, Pan; Mu, Chunlai; Tian, Ya
2015
Global dynamics for a model of a class of continuous-time dynamical systems. Zbl 1339.37021
Tian, Ya; Zhang, Fuchen; Zheng, Pan
2015
Blow-up for an evolution $$p$$-Laplace system with nonlocal sources and inner absorptions. Zbl 1273.35065
Zhang, Yan; Liu, Dengming; Mu, Chunlai; Zheng, Pan
2011
Boundedness in a quasilinear chemotaxis model with consumption of chemoattractant and logistic source. Zbl 1398.92037
Wang, Liangchen; Mu, Chunlai; Hu, Xuegang; Zheng, Pan
2018
Exact solution of the $$(2+1)$$-dimensional hyperbolic nonlinear Schrödinger equation by Adomian decomposition method. Zbl 1371.35267
Ahmed, Iftikhar; Mu, Chunlai; Zheng, Pan
2014
Global existence and blow-up of solutions for a quasilinear parabolic equation with absorption and nonlinear boundary condition. Zbl 1399.35233
Ahmed, Iftikhar; Mu, Chunlai; Zheng, Pan
2014
Dead-core rates for the fast diffusion equation with a spatially dependent strong absorption. Zbl 1304.35106
Zheng, Pan; Mu, Chunlai; Ahmed, Iftikhar
2014
Blow-up analysis for a quasilinear degenerate parabolic equation with strongly nonlinear source. Zbl 1250.35045
Zheng, Pan; Mu, Chunlai; Liu, Dengming; Yao, Xianzhong; Zhou, Shouming
2012
Boundedness in a three-dimensional Keller-Segel-Stokes system involving tensor-valued sensitivity with saturation. Zbl 1404.35228
Li, Dan; Mu, Chunlai; Zheng, Pan; Lin, Ke
2019
Global dynamics for an attraction-repulsion chemotaxis-(Navier)-Stokes system with logistic source. Zbl 1420.35445
Zheng, Pan; Mu, Chunlai; Hu, Xuegang
2019
Boundedness and asymptotic stability of solutions to a two-species chemotaxis system with consumption of chemoattractant. Zbl 1380.35025
Wang, Liangchen; Mu, Chunlai; Hu, Xuegang; Zheng, Pan
2018
Global dynamics in a two-species chemotaxis-competition system with two signals. Zbl 1396.35032
Tu, Xinyu; Mu, Chunlai; Zheng, Pan; Lin, Ke
2018
Global asymptotic stability of steady states in a chemotaxis-growth system with singular sensitivity. Zbl 1409.35103
Zheng, Pan; Mu, Chunlai; Willie, Robert; Hu, Xuegang
2018
Global stability in a two-competing-species chemotaxis system with two chemicals. Zbl 06890404
Zheng, Pan; Mu, Chunlai; Mi, Yongsheng
2018
Boundedness and large time behavior in a quasilinear chemotaxis model for tumor invasion. Zbl 1390.35138
Li, Dan; Mu, Chunlai; Zheng, Pan
2018
Boundedness in a quasilinear chemotaxis model with consumption of chemoattractant and logistic source. Zbl 1398.92037
Wang, Liangchen; Mu, Chunlai; Hu, Xuegang; Zheng, Pan
2018
Global boundedness in a two-competing-species chemotaxis system with two chemicals. Zbl 1360.92022
Zheng, Pan; Mu, Chunlai
2017
Boundedness and asymptotic behavior in a fully parabolic chemotaxis-growth system with signal-dependent sensitivity. Zbl 1386.35195
Zheng, Pan; Mu, Chunlai; Wang, Liangchen; Li, Ling
2017
Persistence property in a two-species chemotaxis system with two signals. Zbl 1383.92021
Zheng, Pan; Mu, Chunlai; Hu, Xuegang
2017
Boundedness in a chemotaxis model with exponentially decaying diffusivity and consumption of chemoattractant. Zbl 1396.92011
Wang, Liangchen; Hu, Xuegang; Zheng, Pan; Li, Ling
2017
Global existence and decay for a chemotaxis-growth system with generalized volume-filling effect and sublinear secretion. Zbl 1373.35167
Zheng, Pan; Mu, Chunlai; Mi, Yongsheng
2017
On the boundedness and decay of solutions for a chemotaxis-haptotaxis system with nonlinear diffusion. Zbl 1334.35112
Zheng, Pan; Mu, Chunlai; Song, Xiaojun
2016
Boundedness in the higher dimensional attraction-repulsion chemotaxis-growth system. Zbl 1367.92023
Zheng, Pan; Mu, Chunlai; Hu, Xuegang
2016
Design of logic gates using spiking neural P systems with homogeneous neurons and astrocytes-like control. Zbl 1428.68155
Song, Tao; Zheng, Pan; Dennis Wong, M. L.; Wang, Xun
2016
Boundedness of solutions in a chemotaxis system with nonlinear sensitivity and logistic source. Zbl 1307.35069
Zheng, Pan; Mu, Chunlai; Hu, Xuegang; Tian, Ya
2015
Boundedness and blow-up for a chemotaxis system with generalized volume-filling effect and logistic source. Zbl 1307.35067
Zheng, Pan; Mu, Chunlai; Hu, Xuegang
2015
Global existence of solutions for a fully parabolic chemotaxis system with consumption of chemoattractant and logistic source. Zbl 1333.35093
Zheng, Pan; Mu, Chunlai
2015
New results of the ultimate bound on the trajectories of the family of the Lorenz systems. Zbl 1348.37024
Zheng, Pan; Zhou, Shouming; Mu, Chunlai; Zhang, Fuchen
2015
Global boundedness in a quasilinear chemotaxis system with signal-dependent sensitivity. Zbl 06440060
Zheng, Pan; Mu, Chunlai; Hu, Xuegang; Zhang, Qinghua
2015
Extinction behavior of solutions for a quasilinear parabolic system with nonlocal sources. Zbl 1390.35133
Zheng, Pan; Mu, Chunlai; Tian, Ya
2015
Global dynamics for a model of a class of continuous-time dynamical systems. Zbl 1339.37021
Tian, Ya; Zhang, Fuchen; Zheng, Pan
2015
On a quasilinear parabolic-elliptic chemotaxis system with logistic source. Zbl 1301.35060
Wang, Liangchen; Mu, Chunlai; Zheng, Pan
2014
The dynamical analysis of a new chaotic system and simulation. Zbl 1298.37082
Zhang, Fuchen; Mu, Chunlai; Zheng, Pan; Lin, Da; Zhang, Guangyun
2014
Exact solution of the $$(2+1)$$-dimensional hyperbolic nonlinear Schrödinger equation by Adomian decomposition method. Zbl 1371.35267
Ahmed, Iftikhar; Mu, Chunlai; Zheng, Pan
2014
Global existence and blow-up of solutions for a quasilinear parabolic equation with absorption and nonlinear boundary condition. Zbl 1399.35233
Ahmed, Iftikhar; Mu, Chunlai; Zheng, Pan
2014
Dead-core rates for the fast diffusion equation with a spatially dependent strong absorption. Zbl 1304.35106
Zheng, Pan; Mu, Chunlai; Ahmed, Iftikhar
2014
Global existence and boundedness of classical solutions to a parabolic-parabolic chemotaxis system. Zbl 1261.35072
Mu, Chunlai; Wang, Liangchen; Zheng, Pan; Zhang, Qingna
2013
Extinction and decay estimates of solutions for a polytropic filtration equation with the nonlocal source and interior absorption. Zbl 1264.35051
Zheng, Pan; Mu, Chunlai
2013
Blow-up and global existence for the non-local reaction diffusion problem with time dependent coefficient. Zbl 1295.35120
Ahmed, Iftikhar; Mu, Chunlai; Zheng, Pan; Zhang, Fuchen
2013
Localization of solutions to a doubly degenerate parabolic equation with a strongly nonlinear source. Zbl 1252.35167
Mu, Chunlai; Zheng, Pan; Liu, Dengming
2012
Extinction and non-extinction for a polytropic filtration equation with absorption and source. Zbl 1246.35020
Mu, Chunlai; Wang, Liangchen; Zheng, Pan
2012
Blow-up analysis for a quasilinear degenerate parabolic equation with strongly nonlinear source. Zbl 1250.35045
Zheng, Pan; Mu, Chunlai; Liu, Dengming; Yao, Xianzhong; Zhou, Shouming
2012
Blow-up for an evolution $$p$$-Laplace system with nonlocal sources and inner absorptions. Zbl 1273.35065
Zhang, Yan; Liu, Dengming; Mu, Chunlai; Zheng, Pan
2011
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#### Cited by 232 Authors

 49 Mu, Chunlai 27 Zheng, Pan 19 Zhang, Fuchen 13 Zhang, Guangyun 12 Hu, Xuegang 12 Liao, Xiaofeng 12 Wang, Liangchen 12 Zheng, Jiashan 10 Lin, Ke 7 Wang, Yifu 6 Baghaei, Khadijeh 6 Shen, Wenxian 5 Qiu, Shuyan 5 Ren, Guoqiang 5 Salako, Rachidi Bolaji 5 Tu, Xinyu 5 Zhao, Jie 4 Khelghati, Ali 4 Wang, Yilong 4 Zhang, Qingshan 3 Fang, Zhongbo 3 Jin, Chunhua 3 Li, Dan 3 Li, Xie 3 Li, Yuxiang 3 Liu, Dengming 3 Negreanu, Mihaela 3 Tao, Youshan 3 Tello, José Ignacio 3 Tian, Ya 3 Wang, Xingyuan 3 Willie, Robert 3 Winkler, Michael 3 Wu, Boying 3 Wu, Sainan 3 Xiang, Tian 3 Xiang, Zhaoyin 3 Zheng, Sining 2 Bian, Shen 2 Chen, Li 2 Chen, YiAn 2 Dong, Ying 2 Jia, Zhe 2 Ke, Yuanyuan 2 Latos, Evangelos Antonios 2 Li, Jing 2 Li, Ling 2 Li, Yan 2 Liu, Bin 2 Liu, Ling 2 Liu, Zuhan 2 Nieto Roig, Juan Jose 2 Pang, Peter Y. H. 2 Shi, Junping 2 Shu, Yonglu 2 Tao, Weirun 2 Wang, Wei 2 Xiao, Min 2 Yang, Zuodong 2 Yin, Jingxue 2 Zhong, Hua 2 Zhou, Deqin 2 Zhou, Ping 2 Zhou, Shulin 1 Ahmad, Bashir 1 Ahmed, Iftikhar 1 Ahn, Jaewook 1 Ai, Shangbing 1 Aïssa, Naïma 1 Arumugam, Gurusamy 1 Balachandran, Krishnan 1 Balehouane, Abdelkhalek 1 Bao, Gui 1 Bao, Lianzhang 1 Barresi, R. 1 Bellomo, Nicola 1 Bellouquid, Abdelghani 1 Bernal-Jaquez, R. 1 Bilotta, Eleonora 1 Cao, Huaihuo 1 Chen, Rui 1 Chen, Xiusu 1 Chen, Zhen 1 Cheng, Tingzhi 1 Choi, Kyudong 1 Chu, Kaibin 1 Cong, Fuzhong 1 Cruz, E. P. 1 Dai, Feng 1 Ding, Mengyao 1 Dong, Mengzhen 1 Doungmo Goufo, Emile Franc 1 Du, Zengji 1 Duarte-Rodríguez, Abelardo 1 Erhardt, André 1 Eswaramoorthy, Indurekha 1 Faez, Karim 1 Fan, Jihui 1 Ferreira, Lucas Catão de Freitas 1 Fragnelli, Genni ...and 132 more Authors
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#### Cited in 49 Serials

 24 Journal of Mathematical Analysis and Applications 21 Journal of Differential Equations 13 ZAMP. Zeitschrift für angewandte Mathematik und Physik 13 Nonlinear Analysis. Real World Applications 11 Discrete and Continuous Dynamical Systems. Series B 9 Computers & Mathematics with Applications 8 Mathematical Methods in the Applied Sciences 8 Discrete and Continuous Dynamical Systems 6 Applicable Analysis 5 Applied Mathematics and Computation 4 Complexity 4 Nonlinear Dynamics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Mathematical Physics 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Acta Applicandae Mathematicae 3 Applied Mathematics Letters 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Communications on Pure and Applied Analysis 3 Advances in Difference Equations 3 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Mathematical Biology 2 Information Sciences 2 Journal of Dynamics and Differential Equations 2 Abstract and Applied Analysis 2 Discrete Dynamics in Nature and Society 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Boundary Value Problems 1 Nonlinearity 1 Journal of Computational and Applied Mathematics 1 Mathematische Nachrichten 1 Osaka Journal of Mathematics 1 Journal of Nonlinear Science 1 Topological Methods in Nonlinear Analysis 1 Calculus of Variations and Partial Differential Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 Mathematical Problems in Engineering 1 Journal of Dynamical and Control Systems 1 Communications in Contemporary Mathematics 1 Qualitative Theory of Dynamical Systems 1 Differential Equations 1 Nonlinear Analysis. Modelling and Control 1 Journal of Evolution Equations 1 Journal of Applied Mathematics and Computing 1 Mathematical Biosciences and Engineering 1 Journal of Nonlinear Science and Applications 1 Science China. Mathematics 1 International Journal of Applied and Computational Mathematics
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#### Cited in 18 Fields

 156 Partial differential equations (35-XX) 124 Biology and other natural sciences (92-XX) 27 Ordinary differential equations (34-XX) 22 Dynamical systems and ergodic theory (37-XX) 8 Numerical analysis (65-XX) 7 Fluid mechanics (76-XX) 3 Integral equations (45-XX) 3 Computer science (68-XX) 2 Real functions (26-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Systems theory; control (93-XX) 1 Number theory (11-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)