Suppose a Population Growth Is Modeled by the Logistic Equation $\frac { d P } { d t } = 0.01 P - 0.0002 P ^ { 2 }$

question 126

Essay

Suppose a population growth is modeled by the logistic equation $\frac { d P } { d t } = 0.01 P - 0.0002 P ^ { 2 }$ . Solve this differential equation with the initial condition P(0) = 20.

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Definitions:

Classical Conditioning

A learning process through which an association is formed between two stimuli, leading to a learned response to a previously neutral stimulus.

Observational Learning

A method where people alter their behavior or learn new facts through the observation of others' activities.

Systematic Desensitization

A therapy method used to reduce phobic reactions or anxiety towards a particular stimulus by gradually exposing the subject to it while in a relaxed state.

Counterconditioning

A behavior therapy technique where a positive stimulus is introduced with the fear-evoking stimulus at the same time, to try to replace the negative response with a positive one.