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Calculus
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4 Jun 2020

The population of shrimp in a pond is greater the carrying capacity of shrimp population. The initial population of shrimp is 1500 and carrying capacity is 900, calculate rate of decline if the population falls to  just 1% higher than carrying capacity in 6 months.

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Calculus 2
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Solve problems relating to logistic models
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Casey Durgan
Casey DurganLv2
24 Jul 2020

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Related questions

The logistic function in form of differential equation is given by,

where, P is population growth as function of time, ‘r’ is the growth rate and K is the carrying capacity.

If the carrying capacity is the also function of time K(t) and changing with time given as ,

How the population growth will follow the varying carrying capacity?

 

Using a Logistic Equation In Exercises 53 and 54, the logistic equation models the growth of a population. Use the equation to (a) find the value of k, (b) find the carrying capacity, (c) find the initial population, (d) determine when the population will reach 50% of its carrying capacity, and (e) write a logistic differential equation that has the solution P(t).

Using a Logistic Equation In Exercises 53 and 54, the logistic equation models the growth of a population. Use the equation to (a) find the value of k, (b) find the carrying capacity, (c) find the initial population, (d) determine when the population will reach 50% of its carrying capacity, and (e) write a logistic differential equation that has the solution P(t).

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