Question

a population of rabbits in a sanctuary grows according to logistic model , with 100 rabbits...

a population of rabbits in a sanctuary grows according to logistic model , with 100 rabbits initially and time measured in years. using eulers method with h=0.25, estimate the population of rabbit growth after 1 year
Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

logistic growth formula

p(t)= p(0)e​​​​-tr

given initially p(0)= 100

so p(t)= 100 e​​​​​​-tr

please like ?

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose a population grows according to a logistic model with initial population 100 and carrying capacity...
Suppose a population grows according to a logistic model with initial population 100 and carrying capacity 1,000. If the population grows to 250 after one year, what will the population be after another three years?
1. A population grows according to an exponential growth model. The initial population is P0=12, and...
1. A population grows according to an exponential growth model. The initial population is P0=12, and the common ratio is r=1.45 Then: P1 = P2 = Find an explicit formula for Pn. Your formula should involve n. Pn =    Use your formula to find P9 P9= Give all answers accurate to at least one decimal place 2. Assume there is a certain population of fish in a pond whose growth is described by the logistic equation. It is estimated that...
Suppose you had 20 rabbits. After six months the number of rabbits had increased to 100....
Suppose you had 20 rabbits. After six months the number of rabbits had increased to 100. If the number of rabbits increased exponentially, then how many rabbits will you have at the end of one year? What does it mean to increase exponentially? Please use the exponential growth model as presented in section 4.2 of the textbook as shown below. Keep in mind that time should be measured in years. Therefore six months = 0.5 years. f(t) = y0bt
Exponential Model: P(t) = M(1 − e^−kt) where M is maximum population. Logistic Model: P (t)...
Exponential Model: P(t) = M(1 − e^−kt) where M is maximum population. Logistic Model: P (t) = M / 1+Be^−MKt where M is maximum population. Scientists study a fruit fly population in the lab. They estimate that their container can hold a maximum of 500 flies. Seven days after they start their experiment, they count 250 flies. 1. (a) Use the exponential model to find a function P(t) for the number of flies t days after the start of the...
Suppose that a population develops according to the following logistic population model. dp/dt=0.04p-0.0001p^2 What is the...
Suppose that a population develops according to the following logistic population model. dp/dt=0.04p-0.0001p^2 What is the carrying capacity? 0.0001 400 10000 0.04 0.0025 What are the equilibrium solutions for the population model ? P = 400 only P = 0 and P = 10000 P = 0 and P = 400 P = 0 only Using the population model , for what values of P  is the population increasing? (0,400) and (0,10000) and
Pigs are invading a ranch in California. Estimates of logistic model parameters for this population suggest...
Pigs are invading a ranch in California. Estimates of logistic model parameters for this population suggest that the instantaneous rate of population growth is 0.4 year-1 and the carrying capacity is 50 pigs km-2. The area of the ranch is 40 km2. The island’s owner applies for a permit to allow recreational shooting of up to 60 pigs per year. If the logistic equation is valid for this species, would the hunting program be likely to cause a decline in...
1.) A colony of bacteria grows in a controlled environment according to the function Q(t)=12000(1.015)^t ,...
1.) A colony of bacteria grows in a controlled environment according to the function Q(t)=12000(1.015)^t , where t is measured in weeks. a.) What is the weekly growth rate (as a percentage) of the bacteria population? b.) What is the annual growth rate (as a percentage) of the bacteria population? (Use the standard of 52 weeks in a year).
A logistic growth model is given below for the number of students attending CCC per year....
A logistic growth model is given below for the number of students attending CCC per year. P(t)= (13,000)/(1+0.73e^-0.13t) a. Find the initial population of students at CCC. b. Find the population of students at CCC in five years. c. Find the population of students at CCC in twenty years. d. What is the carrying capacity of students at CCC?
The population P(t) of bacteria grows according to the logistics equation dP/dt=P(12−P/4000), where t is in...
The population P(t) of bacteria grows according to the logistics equation dP/dt=P(12−P/4000), where t is in hours. It is known that P(0)=700. (1) What is the carrying capacity of the model? (2) What is the size of the bacteria population when it is having is fastest growth?
Revisiting Exponential Growth At time t = 0 a population has size 1000. Suppose it grows...
Revisiting Exponential Growth At time t = 0 a population has size 1000. Suppose it grows exponentially, so that at time t (years) it has size S(t) = 1000a t for some a and all t > 0. a) Suppose that it doubles in size every 8 years. What is a? b) After how many years is the population 32 000? c) What is its instantaneous growth rate (individuals per year) at t = 10? d) What is its instantaneous...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT