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Lectures 13-14
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Lotka-Voltera predator-prey equations
N=prey number
P=predator number
r=prey growth rate
m=predator mortality
a=predator efficiency
E=predator individuals produced per prey object

Lotka-Voltera prey isocline

Lotka-Voltera predator isocline

Critique of Lotka-Voltera predator-prey model
Initial conditions seem to determine outcome
Changes to the Lotka-Voltera Model made by Rosenzweig-MacArthur
Density-dependent prey growth
F is Holling Type II
Rosenzweig-MacArthur equations

Rosenzweig-MacArthur isoclines

Stable equilibrium for Rosenzweig-MacArthur

Unstable equilibrium for Rosenzweig-MacArthur

Enrichment-effects
Destabilizing
Increases K
Prey isocline is affected
Predator isocline is not affected