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Full-Text Articles in Physical Sciences and Mathematics
Modelling Walleye Population And Its Cannibalism Effect, Quan Zhou
Modelling Walleye Population And Its Cannibalism Effect, Quan Zhou
Electronic Thesis and Dissertation Repository
Walleye is a very common recreational fish in Canada with a strong cannibalism tendency, such that walleyes with larger sizes will consume their smaller counterparts when food sources are limited or a surplus of adults is present. Cannibalism may be a factor promoting population oscillation. As fish reach a certain age or biological stage (i.e. biological maturity), the number of fish achieving that stage is known as fish recruitment. The objective of this thesis is to model the walleye population with its recruitment and cannibalism effect. A matrix population model has been introduced to characterize the walleye population into three …
Modelling The Impact Of Climate Change On The Polar Bear Population In Western Hudson Bay, Nicole Bastow
Modelling The Impact Of Climate Change On The Polar Bear Population In Western Hudson Bay, Nicole Bastow
Electronic Thesis and Dissertation Repository
The aim of this thesis is to model the impact of climate change on polar bear populations. The first model is a discrete matrix model with time-dependent parameters, which are influenced by temperature increases. Sensitivity analysis is done on the model. Numerical simulations predict there exist several scenarios that result in polar bear extinction. When the impact of climate warming is low the population is predicted to die out in 300 years and for higher levels of impact the population can be extinct within 6. The second model is a system of continuous delay differential equations with time-dependent parameters, also …