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University
Shawnee State University
Major
Mathematics with Actuarial Science Concentration
Presentation Types
Oral Presentation
Keywords:
population, model, management, capacity
Abstract
In this project, we compared the effects of population management strategies on an imaginary impala herd. We modeled the impact of predation, game ranching and trophy hunting on the population using age-classified matrix models. When using different levels of management strategies, the model predicted different behaviors of the total populations. Moreover, using a variation of a logistic model we discovered that the population dynamics also depend what assumptions we make about the environment’s carrying capacity. In conclusion, we had success with modeling and simulating population dynamics.
Human Subjects
no
Faculty Mentor Name
Chris O'Connor
Faculty Mentor Title
Associate Professor
Faculty Mentor Academic Department
Mathematical Sciences
Recommended Citation
Mikhailichenko, Sofiia, "Investigation of an Impala Herd's Population Dynamics Through Matrix Models" (2023). Celebration of Scholarship. 9.
https://digitalcommons.shawnee.edu/cos/2023/Day5/9
Investigation of an Impala Herd's Population Dynamics Through Matrix Models
In this project, we compared the effects of population management strategies on an imaginary impala herd. We modeled the impact of predation, game ranching and trophy hunting on the population using age-classified matrix models. When using different levels of management strategies, the model predicted different behaviors of the total populations. Moreover, using a variation of a logistic model we discovered that the population dynamics also depend what assumptions we make about the environment’s carrying capacity. In conclusion, we had success with modeling and simulating population dynamics.