A note on analysis and numerics of algae growth

K. Kumar; M. Pisarenco; M. Rudnaya; V. Savcenco

doi:10.1016/j.nonrwa.2012.11.013

A note on analysis and numerics of algae growth

K. Kumar, M. Pisarenco, M. Rudnaya, V. Savcenco

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

We extend the mathematical model for algae growth as described in Pham Thi (2006) [7] to include new effects. The roles of light, nutrients and acidity of the water body are taken into account. Important properties of the model such as existence and uniqueness of solution, as well as boundedness and positivity are investigated. We also discuss the numerical integration of the resulting system of ordinary differential equations and derive a condition which guarantees positivity of the numerical solution. The behavior of the model is demonstrated by numerical experiments. Keywords: Algae growth; Mathematical modeling; Numerical integration

Original language	English
Pages (from-to)	392-403
Number of pages	12
Journal	Nonlinear Analysis : Real World Applications
Volume	15
Issue number	1
DOIs	https://doi.org/10.1016/j.nonrwa.2012.11.013
Publication status	Published - 2014

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title = "A note on analysis and numerics of algae growth",

abstract = "We extend the mathematical model for algae growth as described in Pham Thi (2006) [7] to include new effects. The roles of light, nutrients and acidity of the water body are taken into account. Important properties of the model such as existence and uniqueness of solution, as well as boundedness and positivity are investigated. We also discuss the numerical integration of the resulting system of ordinary differential equations and derive a condition which guarantees positivity of the numerical solution. The behavior of the model is demonstrated by numerical experiments. Keywords: Algae growth; Mathematical modeling; Numerical integration",

author = "K. Kumar and M. Pisarenco and M. Rudnaya and V. Savcenco",

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AU - Kumar, K.

AU - Pisarenco, M.

AU - Rudnaya, M.

AU - Savcenco, V.

PY - 2014

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AB - We extend the mathematical model for algae growth as described in Pham Thi (2006) [7] to include new effects. The roles of light, nutrients and acidity of the water body are taken into account. Important properties of the model such as existence and uniqueness of solution, as well as boundedness and positivity are investigated. We also discuss the numerical integration of the resulting system of ordinary differential equations and derive a condition which guarantees positivity of the numerical solution. The behavior of the model is demonstrated by numerical experiments. Keywords: Algae growth; Mathematical modeling; Numerical integration

U2 - 10.1016/j.nonrwa.2012.11.013

DO - 10.1016/j.nonrwa.2012.11.013

M3 - Article

SN - 1468-1218

VL - 15

SP - 392

EP - 403

JO - Nonlinear Analysis : Real World Applications

JF - Nonlinear Analysis : Real World Applications

IS - 1

ER -

A note on analysis and numerics of algae growth

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