Comparative Study of Deterministic and Stochastic Predator Prey System Incorporating a Prey Refuge

Anal Chatterjee and Samares Pal
Additional contact information
Anal Chatterjee: Barrackpore Rastraguru Surendranath College, North 24 Parganas, Department of Mathematics
Samares Pal: University of Kalyani, Department of Mathematics

A chapter in Trends in Biomathematics: Modeling Epidemiological, Neuronal, and Social Dynamics, 2023, pp 73-98 from Springer

Abstract: Abstract The goal of this research is to investigate the dynamical behaviour of a predator-prey system with Holling II functional response in a systematic way. The system’s various dynamical behaviours have been investigated, with the prey refuge being proportional to both species. The proposed model has been tested in the absence and presence of environmental disturbances. In a deterministic system, the permanence, local stability, transcritical bifurcation and Hopf bifurcation are investigated under various parametric conditions. The significant parameters ranges in which the system exhibits a Hopf bifurcation are examined. Furthermore, we observe that if the white noise intensity is kept below a particular threshold value, the deterministic control approach is equally valid in case of environmental disturbances. Finally, we ran a sufficient numerical simulation to validate our theoretical results.

Keywords: Fear; Refuge; Bifurcation; Global stability; Environmental fluctuation; Noise intensity (search for similar items in EconPapers)
Date: 2023
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-33050-6_5

Ordering information: This item can be ordered from
http://www.springer.com/9783031330506

DOI: 10.1007/978-3-031-33050-6_5

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().