https://doi.org/10.1140/epjp/s13360-025-06031-7
Regular Article
The effect of prey-taxis in a diffusive predator–prey system with hunting cooperation
Department of Mathematics, Guru Ghasidas Vishwavidyalaya, 495009, Bilaspur, Chhattisgarh, India
Received:
22
October
2024
Accepted:
16
January
2025
Published online:
25
January
2025
Predator movement determined by prey density is known as prey-taxis, which plays a crucial role in ecosystem dynamics. This study considers the effect of prey-taxis in a predator–prey system with hunting cooperation in predators. Linear stability analysis is used to establish the condition for diffusive instability. Analytical investigation was carried out in the temporal system to investigate the existence of biologically possible equilibrium points and their stability, positivity, and boundedness of solutions and the presence of transcritical and Hopf bifurcations. The transcritical and Hopf bifurcations observed in the predator–prey system for predator death rate and predator hunting cooperation, respectively. As the level of hunting cooperation rises, the system becomes unstable. The stability switches between predator-free and interior equilibrium as predator death rates increase. In the spatially extended system, prey-taxis plays a crucial role in Turing pattern formation.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
