Interactions - Predation Dynamics Flashcards
Lotka Volterra Model
This assumes prey consumption rate by a predator is proportional to the prey abundance, so feeding is limited only by amount of prey.
Two composed of Lotka-Volterra…
P is amount of predators and N is prey in biomass
What type of equation is Lotka-Volterra Model…
Differential equation
Assumption of no predators equation…
Exponential increase of prey; dN/dt - rN
Denote r
Intrinsic rate of natural increase.
What does prey decrease rate depend in presence of predators?
Frequency of prey-predator encounters and numbers of prey and predators present.
Successful competition depends on efficiency…
dN/dt = rN - aPN
Predator equation of starvation…
dP/dt - -qP
Define predator birth…
Rate of food consumption(aPN) and predator efficiency f defines rate of predator birth
Equation of predator birth rate…
dP/dt = faPN - qP
Zero-growth Isocline
This refers to set of population sized where rate of change for one population in a pair of interaction population in zero.
Zero Isoclines
Connecting points of equal gradient in inclination.
Lotka-volterra model properties derived…
Zero isoclines where x axis is prey density and predator density the y axis.
When is rN = aPN?
When prey rate of increase is dN/dt
When is faPN = qP?
When predators dP/dt = 0
Predators in a zero isocline…
N being constant, left prey is low and predators decrease, right prey is high and predators increase.
Coupled Oscillations
This means changing on regular basis of lots of predators with few prey to lots of prey with few predators.
Delayed density dependence effects on lotka-volterra..
Prey may not fluctuate instantly due to reproductive output time delays
How does delayed density dependence differ from direct?
Delayed results from a function of the past.
Other models of predator-prey fluctuations…
Type 1 functional response
Type 2 functional reponse
Type 3 functional response
Type 1 Functional Response
Depicts a linear increase in consumption rate until satation, then no change in consumption rate above satation
Why are functional responses better?
Incorporate REAL features into lotka-volterra models.
What does Type 1 Functional Response assume?
Consumption rate increases linearly with prey density(a)
Type 2 Functional Response
The rate of prey consumption by predator rise as prey density increases, with an eventual asymptote