Impact of wind in the dynamics of prey–predator interactions

Dipesh Barman, Jyotirmoy Roy and Shariful Alam

Mathematics and Computers in Simulation (MATCOM), 2022, vol. 191, issue C, 49-81

Abstract: The interaction of the predator–prey relationship does not only rely upon the biotic factors, but various abiotic factors can also take an essential role in determining the system dynamics. Wind is an omnipresent component in the biosphere that may crucially alter the predation pattern of any species. In this article, we formulate and analyse a predator–prey model incorporating wind in the predation function. Two types of modified functional responses have been proposed to capture the overall dynamics of the associated system considering the fact that wind may either decrease or increase predation rate of predators. Positivity and boundedness of the solutions of the systems have been shown to confirm the well-posedness of the systems. Equilibrium points and their state of stability have been examined under suitable conditions of parametric restrictions. Wind is shown to change the state of stability of coexistence equilibrium point through Hopf bifurcation in particular cases. On the other hand, strength of wind flow cannot be supposed to be constant throughout a time period. Considering this fact, we further modify the functional responses taken into account periodically varying wind flow and analyse the corresponding systems with the help of computer simulation. Our analysis revealed that the impact of wind on a system dynamics has a strong interrelation with functional response. All the analytical findings have been testified numerically and the article ends with a comprehensive conclusion of our overall study.

Keywords: Wind effect; Modified Holling type-II functional response; Hopf-bifurcation; Mean population biomass (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S037847542100272X
Full text for ScienceDirect subscribers only

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:eee:matcom:v:191:y:2022:i:c:p:49-81

DOI: 10.1016/j.matcom.2021.07.022

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().