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The project involved the development of a mathematical model using ordinary differential equations to study the impact of cannibalism in predator prey dynamics. Cannibalism is simply predation occurring among organisms of the same species. It is a common ecological interaction among species in a multi-level food chain. In this project, we modeled cannibalism effects in the juvenile prey as there is experimental evidence among tadpoles in a specie of treefrogs. We analyzed the model to ascertain its various mathematical properties. We studied the impact of the rate of cannibalism on the prey and predator population. Numerical experiments were also performed to validate all theoretical results. We finally discussed the ecological implications of our results.
Cooper, Kasey; Dreher, Ava; and McCrorey, Caroline, "(De)Stabilization Effect of Juvenile Prey Cannibalism in a Stage Structured Model" (2022). Mathematics Summer Fellows. 16.
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