In which way does the lotka‒volterra predator‒prey model of population growth differ from the logistic model?

Model of population

Explanation:

Logistic model

Logistic model is a growth model which is also called S shaped or sigmoidal growth modelThis type of model mainly depends upon the carrying capacity of a given area and they invest their most energy in maintenance rather than reproductionLogistic model is represented by :where, r= reproductive rate; K= carrying capacity; N= initial population

Lotka Volterra model

It is the model which describes the prey predator relationshipHere it is expressed in the form of mathematical equations which helps in prediction of relationship between two speciesFor species 1, equation is represented as:  here, is the inhibitory effect of species 2 on species 1; r1 is the intrinsic growth rate; N1 is initial population of species 1; K1 is the carrying capacity of species 1; N2 is the initial population of species 2For species 2, equation is represented as:here, is the inhibitory effect of species 1 on species 2; r2 is the intrinsic growth rate of species 2; N2 is the initial population of species 2; K2 is the carrying capacity of species 2; N1 is the initial population of species 1There are certain conditions which helps us to determine the relationship between two species:If K2> K1/ or K1> K2/ then there will be unstable coexistence between species 1 and species 2If K2< K1/ or K1< K2/ then there will be stable coexistence between species 1 and species 2

Answer:

9.9 years

step-by-step explanation:

a = p(1 + rt) . . account balance after time t at rate r starting with principal p

3000 = 2500(1 + 0.0202t) . . filling in the given numbers

1.2 = 1 + 0.0202t . . divide by 2500

0.2 = 0.0202t . . . subtract 1

0.2/0.0202 = t ≈ 9.901

it will take about 9.9 years for the account balance to reach $3000.