Modelling Predator–Prey Interactions: A Trade-Off between Seasonality and Wind Speed

Dipesh Barman and Ranjit Kumar Upadhyay ()
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Dipesh Barman: Department of Mathematics & Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad 826004, India
Ranjit Kumar Upadhyay: Department of Mathematics & Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad 826004, India

Mathematics, 2023, vol. 11, issue 23, 1-26

Abstract: Predator–prey interactions do not solely depend on biotic factors: rather, they depend on many other abiotic factors also. One such abiotic factor is wind speed, which can crucially change the predation efficiency of the predator population. In this article, the impact of wind speed along with seasonality on various parameters has been investigated. Here, we present two continuous-time models with specialist and generalist type predators incorporating the effect of wind and the seasonality on the model parameters. It has been observed that wind speed plays a significant role in controlling the system dynamics for both systems. It makes the systems stable for both of the seasonally unperturbed systems. However, it controls the chaotic dynamics that occur in case of no wind for the seasonally perturbed system with the predator as a specialist. On the other hand, for the seasonally perturbed system with a generalist predator, it controls period-four oscillations (which occur considering no wind speed) to simple limit-cycle oscillations. Furthermore, the wind parameter has a huge impact on the survival of predator species. The survival of predator species may be achieved by ensuring a suitable range of wind speeds in the ecosystem. Therefore, we observe that seasonality introduces chaos, but wind reduces it. These results may be very useful for adopting necessary management for the conservation of endangered species that are massively affected by wind speed in an ecosystem.

Keywords: predator–prey interactions; wind effect; chaos; Hopf bifurcation; period-four oscillation; limit cycle (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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