Population Dynamics of Predation Flashcards
Two components of LV model…
N being numbers of prey
P being predator population
LV Model
Prey are removed depending on prey/predator encountering then removal by searching/attacking efficiency of predator
LV Equations…
dN/dt=rN-aPN
dP-dt=-qP
dP/dt=faPN-qP
Derive LV model…
a is efficiency of searching/killing
q is predator mortality rate
Derive dP/dt-faPN-qP
aPN describes rate at which food is consumed
f is predator efficiency
What does faPN-qP describe?
Predator mortality depends on consumption rate and effiency of turning food into offspring
Zero Isoclines
Describes equilibrium of population growth and decline of predator/prey population
What can zero isocliens be used for?
Look at properties of this model, graphically with prey density against predatory density
What do lines is ZI show?
Combinatiosn of predator/prey density leading to unchanging prey or predatory population, an isocline of each plotted on same figure
One side of isocline means population decrease whilst other increase
Examples of abundance patterns generated by prey/predator populations…
Stable-point Equilibra, multigeneration cycle, one-generation cycles, caos
Primary driver of abundance patterns…
Density dependence
Examples of patterns of consumption…
Higher consumption means quicker growth, develoment and birth, influencing migration/density dependence
Functional Response
Is the dependence of consumption rate on prey abundance, as a function of prey density
Type 1 FR
Linear increase in consumption rate with prey density
Type 2 FR
Limitation in consumption rate with prey density, that being a plateau proceeding icnreasing