To reduce the model which is a third order system to a first-order system that can be analyzed by our methods The equations are x . = - kxy y . = kxy - ly z . = ly Concept Introduction: Epidemic model which describes the transmission of communicable diseases through individuals. People get sick at the rate proportional to product of x and y. Healthy and sick people encounter to each other at rate proportional to their numbers. Sick people die at a constant rate l. The given equations are based on the above two assumptions.

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Chapter 3.7, Problem 6E

Interpretation Introduction

Interpretation:

To reduce the model which is a third order system to a first-order system that can be analyzed by our methods

The equations are

x. = - kxy

y. = kxy - ly

z. = ly

Concept Introduction:

Epidemic model which describes the transmission of communicable diseases through individuals.

People get sick at the rate proportional to product of x and y. Healthy and sick people encounter to each other at rate proportional to their numbers.

Sick people die at a constant rate l.

The given equations are based on the above two assumptions.

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