Question

n nature, populations of a species are often subject to predation in addition to the usual birth and death processes. The evolution of a population subject to these effects can be modelled by the following modified logistic model: dp dt = kp ( 1 − p a ) − wp, (a, k, w > 0) where p is the population of the species at time t, and a, k, w represent the carrying capacity, growth rate and predation rate respectively.

Name: n nature populations of a species are often subject to predation in addition to the usual birth and death processes the evolution of a population subject to these effects can be modelled by 51031
Uploaded: 2023-07-24T03:20:07-08:00
Duration: 2 min 39 s
Channel: Madhur L
Description: n nature populations of a species are often subject to predation in addition to the usual birth and death processes the evolution of a population subject to these effects can be modelled by 51031

          n nature, populations of a species are often subject to predation in addition to the usual
birth and death processes. The evolution of a population subject to these effects can be
modelled by the following modified logistic model:
dp
dt = kp
(
1 − p
a
)
− wp, (a, k, w > 0)
where p is the population of the species at time t, and a, k, w represent the carrying capacity,
growth rate and predation rate respectively.

Added by Josefina N.

Biology for AP Courses

Julianne Zedalis, John Eggebrecht

Instant Answer

Solved by Expert Madhur L

07/24/2023

Step 1

Step 1: Understand the variables in the modified logistic model: - p: population of the species at time t - a: carrying capacity, the maximum population size that the environment can sustain - k: growth rate, the rate at which the population grows in the absence of Show more…

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n nature, populations of a species are often subject to predation in addition to the usual birth and death processes. The evolution of a population subject to these effects can be modelled by the following modified logistic model: dp dt = kp ( 1 − p a ) − wp, (a, k, w > 0) where p is the population of the species at time t, and a, k, w represent the carrying capacity, growth rate and predation rate respectively.