Abstract
A mathematical model on predator–prey dynamics is analyzed in this study. In traditional models, prey refuge is usually taken constant which is nearly impossible in real-life scenario. We have considered nonlinear prey refuge which depends on both prey and predator. We have performed various dynamical studies incorporating Holling type-II functional response. The system can perceive at most three equilibria. The boundedness of all the solutions, stability–instability conditions, and bifurcation analysis are demonstrated in this work. All the analytical findings are verified with numerical simulations. Additionally, a model comparison is performed which helps to understand the dynamical changes due to nonlinear refuge.
Supported by organization National Institute of Technology Agartala.
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Samaddar, S., Dhar, M., Bhattacharya, P. (2023). Effect of Nonlinear Prey Refuge on Predator–Prey Dynamics. In: Som, T., Ghosh, D., Castillo, O., Petrusel, A., Sahu, D. (eds) Applied Analysis, Optimization and Soft Computing. ICNAAO 2021. Springer Proceedings in Mathematics & Statistics, vol 419. Springer, Singapore. https://doi.org/10.1007/978-981-99-0597-3_11
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DOI: https://doi.org/10.1007/978-981-99-0597-3_11
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