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kirza4 [7]
3 years ago
14

Some diseases (such as typhoid fever) are spread largely by carriers, individuals who can transmit the disease but who exhibit n

o overt symptoms. Let x and y denote the proportions of susceptibles and carriers, respectively, in the population. Suppose that carriers are identified and removed from the population at a rate β, so dy/dt = −βy. Suppose also that the disease spreads at a rate proportional to the product of x and y; thus dx/dt = −αxy. a) Determine y at tany time t by solving eq(i) subject to the initial condition y(0)=y0
b) Use the result of part (a) to find x at any time t by solving Eq.(ii) subject to the initial condition x(0)=x0
c) Find the proportion of the population that escapes the epidemic by finding the limiting value of x as t approaches infinity

Mathematics
1 answer:
Margaret [11]3 years ago
6 0

Answer:

The detailed derivation is shown in the attachment

Step-by-step explanation:

The step by step explanation is as shown in the attachment.

Basically, what was applied is the knowledge of differentiation and integration.

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Slope intercept of (2,-12) and (5,6)
nlexa [21]

Answer:

<em>The slope of the line is m=6.  </em>

<em>The y-intercept is (0,−24).  </em>

<em>The equation of the line in the slope-intercept form is y=6x−24.</em>

Step-by-step explanation:

The slope of the line passing through the two points P=(x1,y1) and Q=(x2,y2) is given by m=y2−y1x2−x1.

We have that x1=2, y1=−12, x2=5, y2=6.

Plug the given values into the formula for the slope: m=(6)−(−12)(5)−(2)=183=6.

Now, the y-intercept is b=y1−m⋅x1 (or b=y2−m⋅x2, the result is the same).

b=−12−(6)⋅(2)=−24.

Finally, the equation of the line can be written in the form y=mx+b.

y=6x−24.

Answer:

The slope of the line is m=6.

The y-intercept is (0,−24).

The equation of the line in the slope-intercept form is y=6x−24.

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Answer:

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Step-by-step explanation:

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Answer: 1,760 centimeters

Step-by-step explanation: Your Answer is above

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Well if you combine the 3x and the other x it'll be perfect.

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