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Red Tide and Mathematical Modeling

Permanent Link: http://ncf.sobek.ufl.edu/NCFE003994/00001

Material Information

Title: Red Tide and Mathematical Modeling
Physical Description: Book
Language: English
Creator: Price, Lance
Publisher: New College of Florida
Place of Publication: Sarasota, Fla.
Creation Date: 2008
Publication Date: 2008

Subjects

Subjects / Keywords: Karenia brevis
Mathematical Model
Prey-Switching
Genre: bibliography   ( marcgt )
theses   ( marcgt )
government publication (state, provincial, terriorial, dependent)   ( marcgt )
born-digital   ( sobekcm )
Electronic Thesis or Dissertation

Notes

Abstract: The relationship between K. brevis, its zooplanktonic predators, and its competitors typically involves competition for and consumption of nutrients by algae and grazing of the algae by zooplankton. Generally, K. brevis is an outwardly poor-competitor which has the ability to produce secondary metabolites (e.g. toxins) that cause it to be less palatable to grazers or which adversely affect the growth of competitor algal species. This thesis outlines a possible mechanism for this ability to channel nutrient stress into a valuable tool, which allows it to form huge domains of nearly monospecific blooms killing nearly all competitor and predator life. We then describe a mathematical model composed of four partial differential equations, which describe precisely how changing nutrient stress and the effects of these changes can lead to massive offshore blooms of K. brevis which can sometimes spread and create dense inshore blooms as well. We end by giving a definition of toxicity in terms of parameters in the model and showing how long-term behavior of the system changes with respect to toxicity and nutrient growth at the shore. Throughout this work we are constantly motivated by the interdisciplinary problem of controlling and preventing K. brevis red tide blooms.
Statement of Responsibility: by Lance Price
Thesis: Thesis (B.A.) -- New College of Florida, 2008
Electronic Access: RESTRICTED TO NCF STUDENTS, STAFF, FACULTY, AND ON-CAMPUS USE
Bibliography: Includes bibliographical references.
Source of Description: This bibliographic record is available under the Creative Commons CC0 public domain dedication. The New College of Florida, as creator of this bibliographic record, has waived all rights to it worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law.
Local: Faculty Sponsor: McDonald, Patrick

Record Information

Source Institution: New College of Florida
Holding Location: New College of Florida
Rights Management: Applicable rights reserved.
Classification: local - S.T. 2008 P94
System ID: NCFE003994:00001

Permanent Link: http://ncf.sobek.ufl.edu/NCFE003994/00001

Material Information

Title: Red Tide and Mathematical Modeling
Physical Description: Book
Language: English
Creator: Price, Lance
Publisher: New College of Florida
Place of Publication: Sarasota, Fla.
Creation Date: 2008
Publication Date: 2008

Subjects

Subjects / Keywords: Karenia brevis
Mathematical Model
Prey-Switching
Genre: bibliography   ( marcgt )
theses   ( marcgt )
government publication (state, provincial, terriorial, dependent)   ( marcgt )
born-digital   ( sobekcm )
Electronic Thesis or Dissertation

Notes

Abstract: The relationship between K. brevis, its zooplanktonic predators, and its competitors typically involves competition for and consumption of nutrients by algae and grazing of the algae by zooplankton. Generally, K. brevis is an outwardly poor-competitor which has the ability to produce secondary metabolites (e.g. toxins) that cause it to be less palatable to grazers or which adversely affect the growth of competitor algal species. This thesis outlines a possible mechanism for this ability to channel nutrient stress into a valuable tool, which allows it to form huge domains of nearly monospecific blooms killing nearly all competitor and predator life. We then describe a mathematical model composed of four partial differential equations, which describe precisely how changing nutrient stress and the effects of these changes can lead to massive offshore blooms of K. brevis which can sometimes spread and create dense inshore blooms as well. We end by giving a definition of toxicity in terms of parameters in the model and showing how long-term behavior of the system changes with respect to toxicity and nutrient growth at the shore. Throughout this work we are constantly motivated by the interdisciplinary problem of controlling and preventing K. brevis red tide blooms.
Statement of Responsibility: by Lance Price
Thesis: Thesis (B.A.) -- New College of Florida, 2008
Electronic Access: RESTRICTED TO NCF STUDENTS, STAFF, FACULTY, AND ON-CAMPUS USE
Bibliography: Includes bibliographical references.
Source of Description: This bibliographic record is available under the Creative Commons CC0 public domain dedication. The New College of Florida, as creator of this bibliographic record, has waived all rights to it worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law.
Local: Faculty Sponsor: McDonald, Patrick

Record Information

Source Institution: New College of Florida
Holding Location: New College of Florida
Rights Management: Applicable rights reserved.
Classification: local - S.T. 2008 P94
System ID: NCFE003994:00001

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