An Invitation to Mathematical Biology by David G Costa & Paul J Schulte

Author:David G Costa & Paul J Schulte
Language: eng
Format: epub
ISBN: 9783031402586
Publisher: Springer International Publishing

9.6 Exercises

9.6.1

The Beddington host-parasitoid model, like many models for interacting populations, can display a range of behaviors depending on the values of model parameters. Case 1 shown above displays populations that initially oscillate, but gradually show an approach to stable values. Try out one of the solution approaches (MATLAB or Python) to show how doubling the value of a for the host-parasitoid interaction results in undamped oscillations of the populations.

9.6.2

The Beddington host-parasitoid model, like many models for interacting populations, can display a range of behaviors depending on the values of model parameters. Case 1 shown above displays populations that initially oscillate, but gradually show an approach to stable values. Try out one of the solution approaches (MATLAB or Python) to show how decreasing the value of K for the host population has a strong effect on the time it takes for the populations to stabilize.

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