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Approximate solutions of some predator-prey ecological models

University of British Columbia

The purpose of this thesis is to develop and evaluate approximate analytical solutions of nonlinear differential equations that purport to model physical ecological systems of a predator-prey nature. A variety of analytical techniques, some well known and some new are used to obtain analytical solutions for these models. Solutions are obtained for five different predator-prey systems, and simulations show that these solutions are accurate over wide ranges of initial conditions and system parameters. These literal parameter solutions allow the user to readily determine which components of the solutions are sensitive to which parameters, and thus avoid the traditional heuristic computer sensitivity studies.

Text

2010-02-24

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http://hdl.handle.net/2429/20877

Electrical and Computer Engineering

University of British Columbia

Graduate