Spatiotemporal Dynamics in a Spatial Plankton System
Math. Model. Nat. Phenom., 5 5 (2010) 102-122
Published online: 2010-07-27
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Pattern dynamics of a cross-diffusion predator–prey model with nonlinear harvesting term
Xinze Lian, Huihui Wu, Meng Zhu and Weimin XuAdvances in Continuous and Discrete Models 2025 (1) (2025)
https://doi.org/10.1186/s13662-025-03921-z
The Spatio-Temporal Study of a Planktonic System Having Toxin Producing and Infected Phytoplankton Species
Harpreet Kaur, Kulbhushan Agnihotri and Dawit MeleseDifferential Equations and Dynamical Systems 33 (1) 141 (2025)
https://doi.org/10.1007/s12591-023-00646-x
The isochronal phase of stochastic PDE and integral equations: Metastability and other properties
Zachary P. Adams and James MacLaurinJournal of Differential Equations 414 773 (2025)
https://doi.org/10.1016/j.jde.2024.09.002
Modified Holling Tanner diffusive and non-diffusive predator–prey models: The impact of prey refuge and fear effect
Deepak Tripathi, Jai Prakash Tripathi, Satish Kumar Tiwari, Debaldev Jana, Li-Feng Hou, Yu Shi, Gui-Quan Sun, Vandana Tiwari and Joshua Kiddy K. AsamoahResults in Physics 65 107995 (2024)
https://doi.org/10.1016/j.rinp.2024.107995
Dynamical Behaviour Changes in Response to Various Functional Responses: Temporal and Spatial Plankton System
Randhir Singh BaghelIranian Journal of Science 47 (2) 445 (2023)
https://doi.org/10.1007/s40995-023-01413-x
Diffusive patterns in a predator–prey system with fear and hunting cooperation
Sourav Kumar Sasmal, Anshu and Balram DubeyThe European Physical Journal Plus 137 (2) (2022)
https://doi.org/10.1140/epjp/s13360-022-02497-x
Spatiotemporal dynamics of Leslie–Gower predator–prey model with Allee effect on both populations
Sourav Rana, Sabyasachi Bhattacharya and Sudip SamantaMathematics and Computers in Simulation 200 32 (2022)
https://doi.org/10.1016/j.matcom.2022.04.011
Stability analysis of the plankton community with advection
Zhi-bin Liu, Shu-tang Liu, Da-dong Tian and Da WangChaos, Solitons & Fractals 146 110836 (2021)
https://doi.org/10.1016/j.chaos.2021.110836
Bifurcation analysis in a diffusive phytoplankton–zooplankton model with harvesting
Yong WangBoundary Value Problems 2021 (1) (2021)
https://doi.org/10.1186/s13661-021-01518-5
Turing instability and Hopf bifurcation for a diffusion-plankton system with cell size
Qiuyue Zhao, Shutang Liu and Xinglong NiuInternational Journal of Computer Mathematics 98 (3) 480 (2021)
https://doi.org/10.1080/00207160.2020.1755433
Complex plankton dynamics induced by adaptation and defense
Nilesh Kumar Thakur and Archana OjhaModeling Earth Systems and Environment 6 (2) 907 (2020)
https://doi.org/10.1007/s40808-020-00727-8
Exploring Spatiotemporal Complexity of a Predator‐Prey System with Migration and Diffusion by a Three‐Chain Coupled Map Lattice
Tousheng Huang, Huayong Zhang, Xuebing Cong, Ge Pan, Xiumin Zhang, Zhao Liu and Eric Campos-CantonComplexity 2019 (1) (2019)
https://doi.org/10.1155/2019/3148323
Spatiotemporal pattern formation and selection induced by nonlinear cross-diffusion in a toxic-phytoplankton–zooplankton model with Allee effect
Renji Han and Binxiang DaiNonlinear Analysis: Real World Applications 45 822 (2019)
https://doi.org/10.1016/j.nonrwa.2018.05.018
Turing patterns in a reaction–diffusion epidemic model
Yanfei Jia, Yongli Cai, Hongbo Shi, Shengmao Fu and Weiming WangInternational Journal of Biomathematics 11 (02) 1850025 (2018)
https://doi.org/10.1142/S1793524518500250
Pattern formations of an epidemic model with Allee effect and time delay
Zeyan Wu, Jianjuan Li, Jing Li, et al.Chaos, Solitons & Fractals 104 599 (2017)
https://doi.org/10.1016/j.chaos.2017.09.028
Cross-Diffusion Induced Turing Instability and Amplitude Equation for a Toxic-Phytoplankton–Zooplankton Model with Nonmonotonic Functional Response
Renji Han and Binxiang DaiInternational Journal of Bifurcation and Chaos 27 (06) 1750088 (2017)
https://doi.org/10.1142/S0218127417500882
Stability analysis in a diffusional immunosuppressive infection model with delayed antiviral immune response
Canrong Tian, Wenzhen Gan and Peng ZhuMathematical Methods in the Applied Sciences 40 (11) 4001 (2017)
https://doi.org/10.1002/mma.4279
Pattern dynamics of a spatial epidemic model with time delay
Li-Peng Song, Rong-Ping Zhang , Li-Ping Feng and Qiong ShiApplied Mathematics and Computation 292 390 (2017)
https://doi.org/10.1016/j.amc.2016.07.013
A two or three compartments hyperbolic reaction-diffusion model for the aquatic food chain
Giovanna Valenti, Giancarlo Consolo and Elvira BarberaMathematical Biosciences and Engineering 12 (3) 451 (2015)
https://doi.org/10.3934/mbe.2015.12.451
The influence of generalist predators in spatially extended predator–prey systems
Subhendu ChakrabortyEcological Complexity 23 50 (2015)
https://doi.org/10.1016/j.ecocom.2015.06.003
Spatiotemporal Dynamics in a Reaction–Diffusion Epidemic Model with a Time-Delay in Transmission
Yongli Cai, Shuling Yan, Hailing Wang, Xinze Lian and Weiming WangInternational Journal of Bifurcation and Chaos 25 (08) 1550099 (2015)
https://doi.org/10.1142/S0218127415500996
Spatial pattern in a diffusive predator–prey model with sigmoid ratio-dependent functional response
Lakshmi Narayan Guin and Prashanta Kumar MandalInternational Journal of Biomathematics 07 (05) 1450047 (2014)
https://doi.org/10.1142/S1793524514500478
Spatiotemporal Dynamics of a Predator‐Prey System with Linear Harvesting Rate
Hunki Baek and Asier IbeasMathematical Problems in Engineering 2014 (1) (2014)
https://doi.org/10.1155/2014/625973
Pattern Formation in a Bacterial Colony Model
Xinze Lian, Guichen Lu and Hailing WangAbstract and Applied Analysis 2014 1 (2014)
https://doi.org/10.1155/2014/149801
Allee-Effect-Induced Instability in a Reaction-Diffusion Predator-Prey Model
Weiming Wang, Yongli Cai, Yanuo Zhu and Zhengguang GuoAbstract and Applied Analysis 2013 1 (2013)
https://doi.org/10.1155/2013/487810
Spatiotemporal dynamics in a delayed diffusive predator model
Shuling Yan, Xinzhe Lian, Weiming Wang and R.K. UpadhyayApplied Mathematics and Computation 224 524 (2013)
https://doi.org/10.1016/j.amc.2013.08.045
Pattern Formation in Predator-Prey Model with Delay and Cross Diffusion
Xinze Lian, Shuling Yan and Hailing WangAbstract and Applied Analysis 2013 1 (2013)
https://doi.org/10.1155/2013/147232
Spatiotemporal dynamics in a reaction–diffusion toxic-phytoplankton–zooplankton model
Feng RaoJournal of Statistical Mechanics: Theory and Experiment 2013 (08) P08014 (2013)
https://doi.org/10.1088/1742-5468/2013/08/P08014
Delay-driven pattern formation in a reaction–diffusion predator–prey model incorporating a prey refuge
Xinze Lian, Hailing Wang and Weiming WangJournal of Statistical Mechanics: Theory and Experiment 2013 (04) P04006 (2013)
https://doi.org/10.1088/1742-5468/2013/04/P04006
Propagation of Turing patterns in a plankton model
R. K. Upadhyay, V. Volpert and N. K. ThakurJournal of Biological Dynamics 6 (2) 524 (2012)
https://doi.org/10.1080/17513758.2012.655327
Pattern Formation in a Cross‐Diffusive Holling‐Tanner Model
Weiming Wang, Zhengguang Guo, R. K. Upadhyay, Yezhi Lin and Yonghui XiaDiscrete Dynamics in Nature and Society 2012 (1) (2012)
https://doi.org/10.1155/2012/828219
Pattern Formation in a Cross‐Diffusive Ratio‐Dependent Predator‐Prey Model
Xinze Lian, Yanhong Yue, Hailing Wang and Yonghui XiaDiscrete Dynamics in Nature and Society 2012 (1) (2012)
https://doi.org/10.1155/2012/814069
Complex patterns in a predator–prey model with self and cross-diffusion
Weiming Wang, Yezhi Lin, Lei Zhang, Feng Rao and Yongji TanCommunications in Nonlinear Science and Numerical Simulation 16 (4) 2006 (2011)
https://doi.org/10.1016/j.cnsns.2010.08.035
Challenges of living in the harsh environments: A mathematical modeling study
R.K. Upadhyay, V. Rai and S.N. RawApplied Mathematics and Computation 217 (24) 10105 (2011)
https://doi.org/10.1016/j.amc.2011.05.006