Let Be the Population of a Certain Animal Species

question 5

Essay

Let be the population of a certain animal species, satisfying the logistic equation
A) Determine the equilibrium solutions and their stabilities.
B) What is the long term behavior of the population?
C) Find the value of at the inflection point and explain its meaning referring to the population growth.
D) Solve the logistic equation and verify your answer to B.

• A) Determine the equilibrium solutions and their stabilities.
• B) What is the long term behavior of the population?
• C) Find the value of at the inflection point and explain its meaning referring to the population growth.
• D) Solve the logistic equation and verify your answer to B.

---

Definitions:

Antabuse

A medication used in the treatment of alcoholism that causes an adverse reaction when alcohol is consumed, deterring individuals from drinking.

Relapse Prevention

Strategies and techniques used to prevent or manage the recurrence of a previously overcome condition, especially in substance abuse or mental health.

Confrontational Manner

A way of interacting with others that involves direct and assertive communication, sometimes perceived as aggressive or challenging.

Stimulant Drugs

Substances that increase activity in the central nervous system or the body, leading to increased alertness, attention, and energy, such as caffeine or amphetamines.