Three-dimensional pattern dynamics of a fractional predator-prey model with cross-diffusion and herd behavior
Author
Abstract
Suggested Citation
DOI: 10.1016/j.amc.2022.126955
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Marzano, Annalisa, 2013. "Harvesting the Sea: The Exploitation of Marine Resources in the Roman Mediterranean," OUP Catalogue, Oxford University Press, number 9780199675623.
- Manna, Debasis & Maiti, Alakes & Samanta, G.P., 2018. "Analysis of a predator-prey model for exploited fish populations with schooling behavior," Applied Mathematics and Computation, Elsevier, vol. 317(C), pages 35-48.
- Nicolas E. Humphries & Nuno Queiroz & Jennifer R. M. Dyer & Nicolas G. Pade & Michael K. Musyl & Kurt M. Schaefer & Daniel W. Fuller & Juerg M. Brunnschweiler & Thomas K. Doyle & Jonathan D. R. Hought, 2010. "Environmental context explains Lévy and Brownian movement patterns of marine predators," Nature, Nature, vol. 465(7301), pages 1066-1069, June.
- Zhao, Qiuyue & Liu, Shutang & Niu, Xinglong, 2020. "Effect of water temperature on the dynamic behavior of phytoplankton–zooplankton model," Applied Mathematics and Computation, Elsevier, vol. 378(C).
- David W. Sims & Victoria A. Quayle, 1998. "Selective foraging behaviour of basking sharks on zooplankton in a small-scale front," Nature, Nature, vol. 393(6684), pages 460-464, June.
- Xie, Yingkang & Lu, Junwei & Wang, Zhen, 2019. "Stability analysis of a fractional-order diffused prey–predator model with prey refuges," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
- David W. Sims & Emily J. Southall & Nicolas E. Humphries & Graeme C. Hays & Corey J. A. Bradshaw & Jonathan W. Pitchford & Alex James & Mohammed Z. Ahmed & Andrew S. Brierley & Mark A. Hindell & David, 2008. "Scaling laws of marine predator search behaviour," Nature, Nature, vol. 451(7182), pages 1098-1102, February.
- Barman, Dipesh & Roy, Jyotirmoy & Alrabaiah, Hussam & Panja, Prabir & Mondal, Sankar Prasad & Alam, Shariful, 2021. "Impact of predator incited fear and prey refuge in a fractional order prey predator model," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
- Das, Meghadri & Samanta, G.P., 2020. "A delayed fractional order food chain model with fear effect and prey refuge," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 178(C), pages 218-245.
- Yao, Shao-Wen & Ma, Zhan-Ping & Yue, Jia-Long, 2018. "Bistability and Turing pattern induced by cross fraction diffusion in a predator–prey model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 982-988.
- Derek P. Tittensor & Camilo Mora & Walter Jetz & Heike K. Lotze & Daniel Ricard & Edward Vanden Berghe & Boris Worm, 2010. "Global patterns and predictors of marine biodiversity across taxa," Nature, Nature, vol. 466(7310), pages 1098-1101, August.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Bi, Zhimin & Liu, Shutang & Ouyang, Miao, 2022. "Spatial dynamics of a fractional predator-prey system with time delay and Allee effect," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Bi, Zhimin & Liu, Shutang & Ouyang, Miao, 2022. "Spatial dynamics of a fractional predator-prey system with time delay and Allee effect," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
- Toman, Kellan & Voulgarakis, Nikolaos K., 2022. "Stochastic pursuit-evasion curves for foraging dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 597(C).
- Cao, Jiajia & Zhou, Yanbin & Wei, Kun, 2024. "Modeling ants’ walks in patrolling multiple resources using stochastic approximation partial momentum refreshment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 637(C).
- Nauta, Johannes & Simoens, Pieter & Khaluf, Yara, 2022. "Group size and resource fractality drive multimodal search strategies: A quantitative analysis on group foraging," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 590(C).
- Muhammad Irfan & Abdul Wadood & Tahir Khurshaid & Bakht Muhammad Khan & Ki-Chai Kim & Seung-Ryle Oh & Sang-Bong Rhee, 2021. "An Optimized Adaptive Protection Scheme for Numerical and Directional Overcurrent Relay Coordination Using Harris Hawk Optimization," Energies, MDPI, vol. 14(18), pages 1-21, September.
- Cuimin Liu & Yonggang Chen & Yingbin Yu & Zhen Wang, 2023. "Bifurcation and Stability Analysis of a New Fractional-Order Prey–Predator Model with Fear Effects in Toxic Injections," Mathematics, MDPI, vol. 11(20), pages 1-13, October.
- Shinohara, Shuji & Okamoto, Hiroshi & Manome, Nobuhito & Gunji, Pegio-Yukio & Nakajima, Yoshihiro & Moriyama, Toru & Chung, Ung-il, 2022. "Simulation of foraging behavior using a decision-making agent with Bayesian and inverse Bayesian inference: Temporal correlations and power laws in displacement patterns," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
- Ferreira, A.S. & Raposo, E.P. & Viswanathan, G.M. & da Luz, M.G.E., 2012. "The influence of the environment on Lévy random search efficiency: Fractality and memory effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(11), pages 3234-3246.
- Andy Reynolds & Eliane Ceccon & Cristina Baldauf & Tassia Karina Medeiros & Octavio Miramontes, 2018. "Lévy foraging patterns of rural humans," PLOS ONE, Public Library of Science, vol. 13(6), pages 1-16, June.
- Perisho, Shaun T. & Kelty-Stephen, Damian G. & Hajnal, Alen & Houser, Dorian & Kuczaj II, Stan A., 2016. "Fractal scaling in bottlenose dolphin (Tursiops truncatus) echolocation: A case study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 221-230.
- Malone, Thomas C. & DiGiacomo, Paul M. & Gonçalves, Emanuel & Knap, Anthony H. & Talaue-McManus, Liana & de Mora, Stephen, 2014. "A global ocean observing system framework for sustainable development," Marine Policy, Elsevier, vol. 43(C), pages 262-272.
- Pauline Formaglio & Marina E. Wosniack & Raphael M. Tromer & Jaderson G. Polli & Yuri B. Matos & Hang Zhong & Ernesto P. Raposo & Marcos G. E. Luz & Rogerio Amino, 2023. "Plasmodium sporozoite search strategy to locate hotspots of blood vessel invasion," Nature Communications, Nature, vol. 14(1), pages 1-11, December.
- LaScala-Gruenewald, Diana E. & Mehta, Rohan S. & Liu, Yu & Denny, Mark W., 2019. "Sensory perception plays a larger role in foraging efficiency than heavy-tailed movement strategies," Ecological Modelling, Elsevier, vol. 404(C), pages 69-82.
- Balcı, Ercan, 2023. "Predation fear and its carry-over effect in a fractional order prey–predator model with prey refuge," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
- Federica Manca & Lisandro Benedetti-Cecchi & Corey J. A. Bradshaw & Mar Cabeza & Camilla Gustafsson & Alf M. Norkko & Tomas V. Roslin & David N. Thomas & Lydia White & Giovanni Strona, 2024. "Projected loss of brown macroalgae and seagrasses with global environmental change," Nature Communications, Nature, vol. 15(1), pages 1-12, December.
- Meghadri Das & Guruprasad Samanta & Manuel De la Sen, 2022. "A Fractional Order Model to Study the Effectiveness of Government Measures and Public Behaviours in COVID-19 Pandemic," Mathematics, MDPI, vol. 10(16), pages 1-17, August.
- Huang, Chengdai & Liu, Heng & Chen, Xiaoping & Zhang, Minsong & Ding, Ling & Cao, Jinde & Alsaedi, Ahmed, 2020. "Dynamic optimal control of enhancing feedback treatment for a delayed fractional order predator–prey model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 554(C).
- Liao, Tiancai, 2024. "The impact of temperature variation on the algae–zooplankton dynamics with size-selective disturbance," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
- Rodrigues, Lucas dos Santos & Daudt, Nicholas Winterle & Cardoso, Luis Gustavo & Kinas, Paul Gerhard & Conesa, David & Pennino, Maria Grazia, 2023. "Species distribution modelling in the Southwestern Atlantic Ocean: A systematic review and trends," Ecological Modelling, Elsevier, vol. 486(C).
- Xiu-Mei Fu & Shan-Shan Jiang & Na Wang & Shi-Qi Wang & Chang-Yun Wang, 2018. "The Research on International Development Path of China’s Marine Biopharmaceutical Industry," Sustainability, MDPI, vol. 10(2), pages 1-17, February.
More about this item
Keywords
Predator-prey system; Herd behavior; Refuge; Fractional diffusion; Turing instability; 3D;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:421:y:2022:i:c:s0096300322000418. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.