Submission Date

8-30-2022

Document Type

Paper- Restricted to Campus Access

Department

Mathematics

Faculty Mentor

Eric Takyi

Comments

Presented during the 24th Annual Summer Fellows Symposium, July 22, 2022 at Ursinus College.

Project Description

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.

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