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

Sofia Helena Piltz

doi:10.1007/978-3-319-55642-0_26

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

Sofia Helena Piltz

Research output: Chapter in Book/Report/Conference proceeding › Conference abstract in proceedings › Research › peer-review

Abstract

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.

Original language	English
Title of host publication	Extended Abstracts Spring 2016
Publisher	Springer
Publication date	2016
Pages	147-151
ISBN (Print)	9783319556413
DOIs	https://doi.org/10.1007/978-3-319-55642-0_26
Publication status	Published - 2016
Event	Intensive Research Program on Advances in Nonsmooth Dynamics 2016 - Centre de Recerca Matemàtica , Barcelona, Spain Duration: 1 Feb 2016 → 29 Apr 2016

Seminar

Seminar	Intensive Research Program on Advances in Nonsmooth Dynamics 2016
Location	Centre de Recerca Matemàtica
Country/Territory	Spain
City	Barcelona
Period	01/02/2016 → 29/04/2016

Keywords

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

Access to Document

10.1007/978-3-319-55642-0_26

OpenUrl availability

Full text

Cite this

@inbook{d5ac5841a46b46129e3b6a10b4f9e0d4,

title = "Smoothing a Piecewise-Smooth: An Example from Plankton Population Dynamics",

abstract = "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.",

keywords = "Mathematics, Systems Theory, Control, Ordinary Differential Equations, Difference and Functional Equations",

author = "Piltz, {Sofia Helena}",

year = "2016",

doi = "10.1007/978-3-319-55642-0_26",

language = "English",

isbn = "9783319556413",

pages = "147--151",

booktitle = "Extended Abstracts Spring 2016",

publisher = "Springer",

note = "Intensive Research Program on Advances in Nonsmooth Dynamics 2016 ; Conference date: 01-02-2016 Through 29-04-2016",

}

TY - ABST

T1 - Smoothing a Piecewise-Smooth: An Example from Plankton Population Dynamics

AU - Piltz, Sofia Helena

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

KW - Mathematics

KW - Systems Theory, Control

KW - Ordinary Differential Equations

KW - Difference and Functional Equations

U2 - 10.1007/978-3-319-55642-0_26

DO - 10.1007/978-3-319-55642-0_26

M3 - Conference abstract in proceedings

SN - 9783319556413

SP - 147

EP - 151

BT - Extended Abstracts Spring 2016

PB - Springer

T2 - Intensive Research Program on Advances in Nonsmooth Dynamics 2016

Y2 - 1 February 2016 through 29 April 2016

ER -

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

Abstract

Seminar

Keywords

Access to Document

OpenUrl availability

Fingerprint

Cite this