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Assessment of Social Transmission of Food Preferences Behaviors
Published on: January 25, 2018
A detailed analysis of the spatial dynamics of a food-chain model with Allee and fear effect
Swati Mishra1,2, Anal Chatterjee3, Ranjit Kumar Upadhyay4
1Delhi School of Climate Change & Sustainability, Institution of Eminence, University of Delhi, Delhi 110007, India.
Abstract:
We investigate the spatiotemporal dynamics of a tri-trophic food chain model incorporating a strong Allee effect on the prey and a fear effect on the middle predator. The model's well-posedness is established through the positivity and boundedness of solutions. We derive all equilibria and examine their local stability, revealing saddle-node and transcritical bifurcations under varying parameter conditions. The analysis demonstrates how shifts in the Allee threshold and fear intensity induce bistability, coexistence, or extinction. Numerical simulations highlight diffusion-driven instabilities and complex Turing patterns, including labyrinthine formations and unexpected "leaser slime" structures-resembling those observed in fungi and algae in aquatic systems. These findings reveal the crucial role of behavioral and ecological feedbacks in shaping pattern formation and species persistence.
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