Complex dynamics of a four-species food web model with nonlinear top predator harvesting and fear effect
Author
Abstract
Suggested Citation
DOI: 10.1016/j.matcom.2024.04.024
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
- Fangyuan Hua & Kathryn E. Sieving & Robert J. Fletcher & Chloe A. Wright, 2014. "Increased perception of predation risk to adults and offspring alters avian reproductive strategy and performance," Behavioral Ecology, International Society for Behavioral Ecology, vol. 25(3), pages 509-519.
- Lutz Becks & Frank M. Hilker & Horst Malchow & Klaus Jürgens & Hartmut Arndt, 2005. "Experimental demonstration of chaos in a microbial food web," Nature, Nature, vol. 435(7046), pages 1226-1229, June.
- Zhao, Min & Lv, Songjuan, 2009. "Chaos in a three-species food chain model with a Beddington–DeAngelis functional response," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2305-2316.
- Elisa Benincà & Jef Huisman & Reinhard Heerkloss & Klaus D. Jöhnk & Pedro Branco & Egbert H. Van Nes & Marten Scheffer & Stephen P. Ellner, 2008. "Chaos in a long-term experiment with a plankton community," Nature, Nature, vol. 451(7180), pages 822-825, February.
- Wang, Fengyan & Pang, Guoping, 2008. "Chaos and Hopf bifurcation of a hybrid ratio-dependent three species food chain," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1366-1376.
- Sk, Nazmul & Tiwari, Pankaj Kumar & Pal, Samares, 2022. "A delay nonautonomous model for the impacts of fear and refuge in a three species food chain model with hunting cooperation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 192(C), pages 136-166.
- Raw, S.N. & Mishra, P. & Kumar, R. & Thakur, S., 2017. "Complex behavior of prey-predator system exhibiting group defense: A mathematical modeling study," Chaos, Solitons & Fractals, Elsevier, vol. 100(C), pages 74-90.
- Thirthar, Ashraf Adnan & Majeed, Salam J. & Alqudah, Manar A. & Panja, Prabir & Abdeljawad, Thabet, 2022. "Fear effect in a predator-prey model with additional food, prey refuge and harvesting on super predator," Chaos, Solitons & Fractals, Elsevier, vol. 159(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.- Kumar, Vikas & Kumari, Nitu, 2021. "Bifurcation study and pattern formation analysis of a tritrophic food chain model with group defense and Ivlev-like nonmonotonic functional response," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
- Occhipinti, Guido & Solidoro, Cosimo & Grimaudo, Roberto & Valenti, Davide & Lazzari, Paolo, 2023. "Marine ecosystem models of realistic complexity rarely exhibits significant endogenous non-stationary dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
- Richard Ottermanns & Kerstin Szonn & Thomas G Preuß & Martina Roß-Nickoll, 2014. "Non-Linear Analysis Indicates Chaotic Dynamics and Reduced Resilience in Model-Based Daphnia Populations Exposed to Environmental Stress," PLOS ONE, Public Library of Science, vol. 9(5), pages 1-13, May.
- Chowdhury, Pranali Roy & Banerjee, Malay & Petrovskii, Sergei, 2023. "Coexistence of chaotic and non-chaotic attractors in a three-species slow–fast system," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
- Bildirici, Melike E. & Sonustun, Bahri, 2021. "Chaotic behavior in gold, silver, copper and bitcoin prices," Resources Policy, Elsevier, vol. 74(C).
- Duan, Xiaofang & Ye, Jimin & Lu, Yikang & Du, Chunpeng & Jang, Bongsoo & Park, Junpyo, 2024. "Does cooperation among conspecifics facilitate the coexistence of species?," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
- Kumar, Sachin & Kharbanda, Harsha, 2019. "Chaotic behavior of predator-prey model with group defense and non-linear harvesting in prey," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 19-28.
- Guiet, Jérôme & Poggiale, Jean-Christophe & Maury, Olivier, 2016. "Modelling the community size-spectrum: recent developments and new directions," Ecological Modelling, Elsevier, vol. 337(C), pages 4-14.
- Tian, Yuan & Li, Huanmeng & Sun, Kaibiao, 2024. "Complex dynamics of a fishery model: Impact of the triple effects of fear, cooperative hunting and intermittent harvesting," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 218(C), pages 31-48.
- Dai, Chuanjun & Zhao, Min & Chen, Lansun, 2012. "Complex dynamic behavior of three-species ecological model with impulse perturbations and seasonal disturbances," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 84(C), pages 83-97.
- Liu, Junli & Liu, Bairu & Lv, Pan & Zhang, Tailei, 2021. "An eco-epidemiological model with fear effect and hunting cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
- Tiwari, Vandana & Tripathi, Jai Prakash & Mishra, Swati & Upadhyay, Ranjit Kumar, 2020. "Modeling the fear effect and stability of non-equilibrium patterns in mutually interfering predator–prey systems," Applied Mathematics and Computation, Elsevier, vol. 371(C).
- Gupta, R.P. & Yadav, Dinesh K., 2023. "Nonlinear dynamics of a stage-structured interacting population model with honest signals and cues," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
- Grasman, Johan & van Nes, Egbert H. & Kersting, Kees, 2009. "Data-directed modelling of Daphnia dynamics in a long-term micro-ecosystem experiment," Ecological Modelling, Elsevier, vol. 220(3), pages 343-350.
- Mandal, Sayan & Samanta, Sudip & Tiwari, Pankaj Kumar & Upadhyay, Ranjit Kumar, 2025. "Bifurcation analysis and exploration of noise-induced transitions of a food chain model with Allee effect," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 228(C), pages 313-338.
- Paul, Biswajit & Sikdar, Gopal Chandra & Ghosh, Uttam, 2025. "Effect of fear and non-linear predator harvesting on a predator–prey system in presence of environmental variability," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 227(C), pages 442-460.
- Yamauchi, Atsushi & Ito, Koichi & Shibasaki, Shota & Namba, Toshiyuki, 2023. "Continuous irregular dynamics with multiple neutral trajectories permit species coexistence in competitive communities," Theoretical Population Biology, Elsevier, vol. 149(C), pages 39-47.
- Zhang, Limin & Zhao, Min, 2009. "Dynamic complexities in a hyperparasitic system with prolonged diapause for host," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1136-1142.
- Xiao Dai & Jian Wu & Liang Yan, 2018. "A Spatial Evolutionary Study of Technological Innovation Talents’ Sticky Wages and Technological Innovation Efficiency Based on the Perspective of Sustainable Development," Sustainability, MDPI, vol. 10(11), pages 1-19, November.
- Tapia, Carlos & Coulton, Jeff & Saydam, Serkan, 2020. "Using entropy to assess dynamic behaviour of long-term copper price," Resources Policy, Elsevier, vol. 66(C).
More about this item
Keywords
Four-species food web model; Bifurcation; Period doubling cascade; Quasi-periodic state; Chaos;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:matcom:v:223:y:2024:i:c:p:458-484. 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: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.