EE30 Flashcards
What does the logistic model show?
density dependent interspecific and intraspecific competition
What is the predation model construction?
N= prey number and exponential growth dN/dt=rN p= predator number * more p = more N eaten *more N = more food for P = eat more * N should be hurt proportionally to both N and P
What is the lotka voltera model?
also known as the predator–prey equations pair of first-order, non-linear, differential equations frequently used to describe the dynamics of biological systems in which two species interact, one as a predator and the other as prey.
what is the lotka voltera prey equation?
dN/dt=rN-aPN a= search efficiency/attack raate p=no. of predators
What is the lotka voltera predator equation?
dP/dt = -qP dP/dt= caPN-qP a= search efficiency P= no. of predators q= starvation rate c= conversion rate = constant of proportionality.
What is a state space graph and what does it show?
abundance of species 1 is plotted on x-axis abundance of species 2 is plotted on the y-axis. Each point in a state-space graph represents a combination of abundances of the two species. For each species there is a straight line on the graph called a zero isocline. Any given point along, for example, species 1’s zero isocline represents a combination of abundances of the two species where the species 1 population does not increase or decrease the zero isocline for a species is calculated by setting dN/dt, the growth rate, equal to zero and solving for N.
What does the isocline look like?
predator prey isocline
What does the zero isocline of the lotka voltera allow us to explore?
the properties of this model
dN/dt=0
dN/dt=rN-aPN=0
rN=aPN
P=r/a
^ no change in prey number
dP/dt=caPN-qP=0
caPN=qP
N=q/ca
What does the lotka voltera model tend to produce?
coupled oscillations
ie. delayed density dependence.
What kind of stability do lotka voltera cycles have?
neutrally stabe
each disturbace initiates a new set of cycles
What is the indian meal moth cycle an example of?
natural cycles
not predator prey
What is the lynx dynamics?
- lynx cycle is simple as exclusively feeds on snow hare
- hare is more compllicated as affected by lunc and other vatiables like food plant availability
What other species follow lynx dynamic?
wolces and moose
Which is more stabilizing type 2 or type 3 Functional response?
type 3 can stabilize dynamics
faster increases at low density
especially with prey switching
Type 2 is theoretically destabilizing but would need to have stronger effects than intraspecific competiion
