COLLEGE OF ARTS AND SCIENCES Department of Mathematics and Statistics

Seminars

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Applied Math Seminar:Modeling Cyclic Algae Population Dynamics:Analyzing a sunlight-dependent model for a lake algae

2006-09-13

3:35pm, Neill 3W

Corby Harwood

Abstract: Motivated by problems surrounding the Lake Chapala ecosystem, Mexico's largest lake and major source of drinking water, this presentation proposes and analyzes a sunlight-dependent model for algae (specifically phytoplankton). The algae are treated as two distinct populations dependent upon location in the water: a reproductive population in the sunlit upper region and a stagnate population in the lower region where photosynthesis is not possible. Also, the growth factor from sunlight is compounded by a limiting shade effect. Early results provide possible explanations for cyclic reemergence of algae when it has been seemingly destroyed.