10 Leslie + R 9-30-09

10 Leslie + R 9-30-09 - 9/30/2009 Ecology 203 Overview...

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Ecology 203 Overview Geographic Distributions Populations Communities Ecosystems Applications Gregg Hartvigsen Populations Population parameters (C8) Population growth (C9) Competition (C10) Predation (C11) Herbivory and Mutualism (C12) Disease and Parasitism (C13) Regulation of Populations (C14 Regulation of Populations (C14) Harvesting Populations (C15) Pest Control (C16) Conservation Biology (C17)

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Population Growth Geometric Growth Exponential Growth Regulated Growth Leslie Matrix Model Analyze the Graph: Rate N 1. Identify equilibria 2. Stable or unstable? 3. If stable: globally or locally stable?
Modeling UN regulated Populations Differential equation: dN/dt = Nr (exponential growth) N time Modeling Regulated Populations Differential equation: dN/dt = N f(N) was “r”

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Modeling Regulated Populations Differential equation: dN/dt = N f(N) f(N) = r m * (1 - N/K) [linear] Modeling Regulated Populations Differential equation: dN/dt = N f(N) f(N) = r m * (1 - N/K) [if N = 0] f(N) N r m 0 dN/Ndt=
Modeling Regulated Populations Differential equation: dN/dt = N f(N) f(N) = r m

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10 Leslie + R 9-30-09 - 9/30/2009 Ecology 203 Overview...

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