Let X Be the Number of Reptiles, Y Be the Number

question 86

Short Answer

Let x be the number of reptiles, y be the number of mammals, and z be the number of plants on the island of Komodo, all measured in thousands (e.g., x = 50 means 50,000 reptiles).The following differential equations give the rates of growth of reptiles, mammals, and plants on the island: $\begin{array}{l}\frac{d x}{d t}=-0.2 x-0.04 x y+0.0008 x z \\\frac{d y}{d t}=-0.1 y+0.01 x y \\\frac{d z}{d t}=2 z-0.002 z^{2}-0.1 x z\end{array}$ What is the equilibrium population of plants (assuming that the population is nonzero)?

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Definitions:

Socially Expected Behaviors

Pertains to the actions or reactions that are anticipated and considered acceptable within a particular society or group.

Internalized Ideals

The process by which an individual adopts the standards and values of a group or society as their own personal norms.

Unconscious Incestuous Feelings

Deep-seated sexual feelings within the unconscious mind towards a family member, as proposed in psychoanalytic theory.

Latency Stage

A phase in Freud's psychosexual development theory occurring between the ages of six and puberty during which sexual impulses and activities are suppressed or dormant.