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A Mathematical Study of Predator Cooperation Using a Modified Lotka-Volterra Model with Type-II Functional Response


Jyotiska Datta, Atish Kumar Sethy, Rasmita Gartia, Annapurna Pradhan
Pages: 33-56
ISBN: 978-93-5834-189-8


Recent Research Trends in Mathematics (Volume -8)

Recent Research Trends in Mathematics
(Volume - 8)

Abstract

This work has investigated two features of the spatiotemporal prey-predator model: hunting cooperation in predators and the Allee effect in prey. The majority of the literature currently in publication models the prey-predator interaction using a prey dependent functional response. However, empirical evidence indicates that the number of prey and predators may have an impact on functional responsiveness. We have extended the model regionally to as a Holling type II functional response for the predator population, cooperative hunting should be considered. A detailed analysis of Turing patterns has been conducted on the diffusion enhanced prey-predator model. The analytical investigation of the Turing patterns. The analytical findings are verified using simulations.

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