Homework Answers
at last we put dP/dt =0 for
critical points which we get t=nπ where n belongs to integers and
we ignore cos(t) becouse in P(t) we only have sin(t). But sin(t)
have maximum value 1. hance P attains maximum at sint=1.
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Q2: Consider a population P(t) whose birth rate is given by b = bo + cost...
(1 point) Any population, P, for which we can ignore immigration, satisfies dP Birth rate –...
(1 point) Any population, P, for which we can ignore immigration, satisfies dP Birth rate – Death rate. dt For organisms which need a partner for reproduction but rely on a chance encounter for meeting a mate, the birth rate is proportional to the square of the population. Thus, the population of such a type of organism satisfies a differential equation of the form dP аP? — ЬР with a, b > 0. dt This problem investigates the solutions to...
Population Growth: Let P(t) be the number of rabbits in the rabbit population. In the simplest...
Population Growth: Let P(t) be the number of rabbits in the
rabbit population. In the simplest case we can assume the number of
rabbits born at any moment of time is proportional to the number of
rabbits at this moment of time. Mathematically we can write this as
a differential equation:
Here b is the birth rate, i.e. births per time unit per rabbit.
In the model above we ignore deaths and assume resources are
unlimited.
A. Solve the equation...
please solve this question 1. Consider the following modified Logistic model to describe a population p -p(t) with stronger competition as time t increases: dys Here the net birth rate is 1 and the c...
please solve this question
1. Consider the following modified Logistic model to describe a population p -p(t) with stronger competition as time t increases: dys Here the net birth rate is 1 and the competition term is (1 - e ')p with constant a > 0 (a) Make a substitution of the form u p for some integer m and so reduce (1) to the linear first Cl order o.d.e du dt (b) Find the general solution of (1) (c)...
7. (EC) A population P(t) of animals has a birth rate of B .1 and an unknown constant death rate δ. If there are 60...
7. (EC) A population P(t) of animals has a birth rate of B .1 and an unknown constant death rate δ. If there are 60 of these animals initially and we know that three are born in the first month (P(O) -3), how long (how many months) will it take for this population to double?
7. (EC) A population P(t) of animals has a birth rate of B .1 and an unknown constant death rate δ. If there are 60...
Can someone show step by step how to get P0e^rt from equation (1.4)? Consider a population...
Can someone show step by step how to get P0e^rt from equation
(1.4)?
Consider a population P(t) that is varying with time. A mathematician will say that the rate at which the population is changing with respect to time is given by the derivative dP dt On the other hand, a population biologist will say that the rate of change is roughly proportional to the population. This means that there is a constant r, called the reproductive rate, such that...
POPULATION MODELS: PLEASE ANSWSER ASAP: ALL 3 AND WILL RATE U ASAP. The logistic growth model...
POPULATION MODELS: PLEASE
ANSWSER ASAP: ALL 3 AND WILL RATE U ASAP.
The logistic growth model describes population growth when
resources are constrained. It
is an extension to the exponential growth model that includes an
additional term introducing
the carrying capacity of the habitat.
The differential equation for this model is:
dP/dt=kP(t)(1-P(t)/M)
Where P(t) is the population (or population density) at time t,
k > 0 is a growth constant,
and M is the carrying capacity of the habitat. This...
Exercises 1. Verify equation (3) 2. Use the techniques of Section 13.7 and the fact that...
Exercises 1. Verify equation (3) 2. Use the techniques of Section 13.7 and the fact that P(0) = 10 to solve equation (5). 3. The carrying capacity of Atlantic harp seals has been estimated to be C = 10 million seals. Let 1 = 0 correspond to the year 1980 when this seal population was estimated to be about 2 mil- lion. (Data from: Fisheries and Oceans Canada.) (a) Use a logistic growth model = kP(C - P) with k...
1. Consider a two-period model similar to the one discussed in the class. Assume that the...
1. Consider a two-period model similar to the one discussed in the class. Assume that the inverse demand equations for a particular depletable resource (e.g., stock of oil) differs across the two periods, with MB. = 600 - 90 MB = 800 - 91 Where, 9. denotes the amount of oil consumed in period 0 and q, denotes the amount consumed in period 1. The higher demand for oil in period 1 might result, for example, from an increased population....
can anyone answer this please with workings [Ec Question 1 Consider the matrix below: T12 6 a) Find A b) What is th...
can anyone answer this please with workings
[Ec Question 1 Consider the matrix below: T12 6 a) Find A b) What is the rank of matrix A? c) If element a became 4, would this change results to parts (a) and (b), and if so, why? Consider these further matrices: B= d) Describe, using matrix terminology, each of the further matrices above (be sure to also describe the dimensions of each matrix). Perform the following matrix operations, where possible, being...
I need Summary of this Paper i dont need long summary i need What methodology they used , what is the purpose of this p...
I need Summary of this Paper i dont need long summary i need
What methodology they used , what is the purpose of this paper and
some conclusions and contributes of this paper. I need this for my
Finishing Project so i need this ASAP please ( IN 1-2-3 HOURS
PLEASE !!!)
Budgetary Policy and Economic Growth Errol D'Souza The share of capital expenditures in government expenditures has been slipping and the tax reforms have not yet improved the income...
(1 point) Any population, P, for which we can ignore immigration, satisfies dP Birth rate – Death rate. dt For organisms which need a partner for reproduction but rely on a chance encounter for meeting a mate, the birth rate is proportional to the square of the population. Thus, the population of such a type of organism satisfies a differential equation of the form dP аP? — ЬР with a, b > 0. dt This problem investigates the solutions to...
Population Growth: Let P(t) be the number of rabbits in the
rabbit population. In the simplest case we can assume the number of
rabbits born at any moment of time is proportional to the number of
rabbits at this moment of time. Mathematically we can write this as
a differential equation:
Here b is the birth rate, i.e. births per time unit per rabbit.
In the model above we ignore deaths and assume resources are
unlimited.
A. Solve the equation...
please solve this question
1. Consider the following modified Logistic model to describe a population p -p(t) with stronger competition as time t increases: dys Here the net birth rate is 1 and the competition term is (1 - e ')p with constant a > 0 (a) Make a substitution of the form u p for some integer m and so reduce (1) to the linear first Cl order o.d.e du dt (b) Find the general solution of (1) (c)...
7. (EC) A population P(t) of animals has a birth rate of B .1 and an unknown constant death rate δ. If there are 60 of these animals initially and we know that three are born in the first month (P(O) -3), how long (how many months) will it take for this population to double?
7. (EC) A population P(t) of animals has a birth rate of B .1 and an unknown constant death rate δ. If there are 60...
Can someone show step by step how to get P0e^rt from equation
(1.4)?
Consider a population P(t) that is varying with time. A mathematician will say that the rate at which the population is changing with respect to time is given by the derivative dP dt On the other hand, a population biologist will say that the rate of change is roughly proportional to the population. This means that there is a constant r, called the reproductive rate, such that...
POPULATION MODELS: PLEASE
ANSWSER ASAP: ALL 3 AND WILL RATE U ASAP.
The logistic growth model describes population growth when
resources are constrained. It
is an extension to the exponential growth model that includes an
additional term introducing
the carrying capacity of the habitat.
The differential equation for this model is:
dP/dt=kP(t)(1-P(t)/M)
Where P(t) is the population (or population density) at time t,
k > 0 is a growth constant,
and M is the carrying capacity of the habitat. This...
Exercises 1. Verify equation (3) 2. Use the techniques of Section 13.7 and the fact that P(0) = 10 to solve equation (5). 3. The carrying capacity of Atlantic harp seals has been estimated to be C = 10 million seals. Let 1 = 0 correspond to the year 1980 when this seal population was estimated to be about 2 mil- lion. (Data from: Fisheries and Oceans Canada.) (a) Use a logistic growth model = kP(C - P) with k...
1. Consider a two-period model similar to the one discussed in the class. Assume that the inverse demand equations for a particular depletable resource (e.g., stock of oil) differs across the two periods, with MB. = 600 - 90 MB = 800 - 91 Where, 9. denotes the amount of oil consumed in period 0 and q, denotes the amount consumed in period 1. The higher demand for oil in period 1 might result, for example, from an increased population....
can anyone answer this please with workings
[Ec Question 1 Consider the matrix below: T12 6 a) Find A b) What is the rank of matrix A? c) If element a became 4, would this change results to parts (a) and (b), and if so, why? Consider these further matrices: B= d) Describe, using matrix terminology, each of the further matrices above (be sure to also describe the dimensions of each matrix). Perform the following matrix operations, where possible, being...
I need Summary of this Paper i dont need long summary i need
What methodology they used , what is the purpose of this paper and
some conclusions and contributes of this paper. I need this for my
Finishing Project so i need this ASAP please ( IN 1-2-3 HOURS
PLEASE !!!)
Budgetary Policy and Economic Growth Errol D'Souza The share of capital expenditures in government expenditures has been slipping and the tax reforms have not yet improved the income...
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