Year: 2017, 2017
Member of: Trent University Graduate Thesis Collection
Abstract: <p>In this thesis, we study modelling with non-linear ordinary differential equations, and the existence of positive solutions for Boundary Value Problems (BVPs). These problems have wide applications in many areas. The focus is on the extensions of previous work done on non-linear second-order differential equations with boundary conditions involving first-order derivative. The… more Full Text: POSITIVE SOLUTIONS FOR BOUNDARY VALUE PROBLEMS OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS A Thesis Submitted to the Committee of Graduate Studies in Partial Fulfillment of the Requirements for the Degree of Master of Science in the Faculty of Arts …
Year: 2017, 2017
Member of: Trent University Graduate Thesis Collection
Abstract: <p>Population cycles are regular fluctuations in population densities, however, in recent years many cycles have begun to disappear. With Canada lynx this dampening has also been seen with decreasing latitude corresponding to an increase in prey diversity. My study investigates the role of alternate prey on the stability of the lynx-hare cycle by first comparing the functional responses of… more Full Text: The third wheel: How red squirrels affect the dynamics of the lynx-snowshoe hare relationship A Thesis Submitted to the Committee on Graduate Studies in Partial Fulfillment of the Requirements for the Degree of a Master of Science in the Faculty of Arts …