Abstract
We study a discrete-time predator-prey system with selection and mutation in the prey population where individuals are distributed over a finite number of phenotypic traits. For the pure selection case, we establish conditions for competitive exclusion between individuals with different traits in the prey population and we show that the system converges to a boundary equilibrium representing the predator and the fittest prey trait. For the full selection mutation model, we explore coexistence through establishing persistence of more than one trait. Finally, we perform numerical simulations that support and complement the theoretical results and provide additional insights into possible model dynamics.
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Ackleh, A.S., Sikder, S., Zhang, A. (2023). A Discrete-Time Predator-Prey Model with Selection and Mutation. In: Elaydi, S., Kulenović, M.R.S., Kalabušić, S. (eds) Advances in Discrete Dynamical Systems, Difference Equations and Applications. ICDEA 2021. Springer Proceedings in Mathematics & Statistics, vol 416. Springer, Cham. https://doi.org/10.1007/978-3-031-25225-9_1
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