Conjecture on multiple limit cycles in a predator-prey model with group defence

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Let the predator-prey model described in the paper be given, with its interior equilibrium point and model parameters as defined there. Multiple-limit-cycle conjecture. There exist single-parameter regimes under which the interior equilibrium point can bifurcate to produce at least two limit cycles. This conjecture concerns the possibility of multiple concurrent limit cycles, which the authors observe numerically; its general validity is not established.

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Primary source

Vaibhava Srivastava, Kwadwo Antwi-Fordjour and Rana D. Parshad, “Exploring unique dynamics in a predator-prey model with generalist predator and group defence in prey”, arXiv:2306.13666 (2023).

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