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Conference paper · Book chapter

Smoothing a Piecewise-Smooth: An Example from Plankton Population Dynamics

In Extended Abstracts Spring 2016 — 2016, Volume 8, pp. 147-151

By Piltz, Sofia Helena1,2

Edited by Colombo, Alessandro; Lázaro, J. Tomàs; Olm, Josep M.; Jeffrey, Mike

From

Department of Applied Mathematics and Computer Science, Technical University of Denmark1

Dynamical Systems, Department of Applied Mathematics and Computer Science, Technical University of Denmark2

In this work we discuss a piecewise-smooth dynamical system inspired by plankton observations and constructed for one predator switching its diet between two different types of prey. We then discuss two smooth formulations of the piecewise-smooth model obtained by using a hyperbolic tangent function and adding a dimension to the system.

We compare model behaviour of the three systems and show an example case where the steepness of the switch is determined from a comparison with data on freshwater plankton.

Language: English
Publisher: Springer
Year: 2016
Pages: 147-151
Proceedings: Intensive Research Program on Advances in Nonsmooth Dynamics 2016
Series: Trends in Mathematics
Journal subtitle: Nonsmooth Dynamics
ISBN: 331955641X , 331955641x , 3319556428 , 9783319556413 and 9783319556420
Types: Conference paper and Book chapter
DOI: 10.1007/978-3-319-55642-0_26
Keywords

Difference and Functional Equations Mathematics Ordinary Differential Equations Systems Theory, Control

Other keywords

Alternative Prey Approximate Bayesian Computation Hyperbolic Tangent Hyperbolic Tangent Function Periodic Orbit

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