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final exam L-V model
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Gravity
Terms in this set (14)
L-V model equations for predator and prey
dN(prey)/dt = rN-cNP (predator)
dP(predator)/dt = acNP-mP
Lokta -Voltera Model
-what does it predict?
L-V mode predicts oscillation in abudances of predators and prey populations w/ predator numbers lagging behind prey
a verbal model of predator and prey cycles
predators eat prey and reduce prey population size. predators go hungry and decline in population. With fewer predators, prey survive better and increase and the increase in prey populations allows predators to increase
rinse and repeat
equilibrium isocline
-definition and equation
(zero growth)
the population size if one species that causes the isolation of another species to be stables
for prey this occurs when P=r/N and for predator population when N=m/ac
dN/dt = 0
dP/dt = 0
L-V predator model
_________ = _________ - _________
eq.
rate of change in prey population =
intrinsic growth rate of prey population - removal of prey by predators
dN/dt = rN(prey) - cNP(predator)
cNP: number of prey capture by the predators. (c) capture efficient of predators
rN: intrinsic growth rate
L-V prey model
_________ = _________ - _________
eq.
rate of change in predator population =
predator birth rate (number of prey captured (cNP)*efficiency that food is converted into births (a)) - predator death rate
dP=acNP-mP
m is death rate constant
mP mortality rate
dN/dt = rN-cNP
dP/dt = acNP-mP
-when populations are stable what are the equations
dN/dt = 0 --> P=r/c
dP/dt = 0 --> N=m/ac
Explore L-V
dP/dt = acNP-mP
the predator population can ________ when its own growth potential ________ its death rate
-_________
this is the number of the prey required to support ________ of the predator population.
the predator population can increase when its own growth potential exceeds its death rate
acNP>mP
N>m/ac
this is the number of the prey required to support the growth of the predator population.
Explore L-V
dP/dt = acNP-mP
when ________ exceed removal of prey individuals ________ when ________, prey population ________ and ____(eq)____.
________ represents the number of predators that the prey ovulation can support and still increase
inevitably this is higher ________ is higher or when ________ is lower
when rN exceed removal of prey individuals cNP when rN>cNP, prey population increases and rN>cNP --> p<r/c.
p<r/c, represents the number of predators that the prey ovulation can support and still increase
inevitably this is higher r is higher or when c is lower
modeling predators
a predator population is stable when rate change is zero:
dP/dt = 0 =_____
- a predator population will ______ when addition of predators is balanced by mortality of predators
-increase: ______
-decrease :______
a predator population is stable when rate change is zero:
dP/dt = 0 = acNP-mP --> acNP = mP --> m/ac=N
- a predator opposition is table when addition of predator is balanced by mortality of predators
-increase: mP< acNP --> N>m/ac
-decrease : mP>acNP --> N< m/ac
modeling prey
a prey pupation is table when rate of change is zero:
dN/dt = 0 = _________
a repopulation is table when prey addition is balanced by the ________ of prey
-increase: ______
-decrease :______
modeling prey
a prey pupation is table when rate of change is zero:
dN/dt = 0 = rN- cNP --> rN=cNP --> r/c=P
a repopulation is table when prey addition is balanced by the consumption of prey
increase whenever rN>cNP --> P<r/c
decrease whenever rN<cNP --> P>r/c
fixing experimental design
artificial lab recreation
constant variables throughout
repetition
sample size
randomize
factors promoting stability in predator - prey relationships
1. inefficient creators (lower c)
2. outside factors limiting population(higher m for predators and lower r for prey)
3. alteration in food source
4. refuges from predators at low prey densities
5. rapid numerica respinge to change in prey population
experimental design red flags
pseudo replication/no replication
bias
sample size
confounding variables
lack of control
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