(a) Given the epidemic model dx = -x(n+1-x), where x = n at T-0. Where x(t)...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
(a) Given the epidemic model dx = -x(n+1-x), where x = n at T-0. Where x(t) is the number of susceptible and T = Bt. dT (1) Use the substitution x = = to solve the equation. (6 marks) If the contact rate ß is 0.001 and the number od susceptible (n) is 2,000. Initially, determine (ii) (iii) (iv) (v) (v) The number of susceptible left after 3 weeks. (2 marks) The density of susceptible when the rate of appearance of new cases is maximum. (2 marks) The time in weeks at which the rate of appearance of new cases is maximum. (2 marks) (2 marks) The maximum rate of appearance of new cases. The epidemic curve. (1 mark) (a) Given the epidemic model dx = -x(n+1-x), where x = n at T-0. Where x(t) is the number of susceptible and T = Bt. dT (1) Use the substitution x = = to solve the equation. (6 marks) If the contact rate ß is 0.001 and the number od susceptible (n) is 2,000. Initially, determine (ii) (iii) (iv) (v) (v) The number of susceptible left after 3 weeks. (2 marks) The density of susceptible when the rate of appearance of new cases is maximum. (2 marks) The time in weeks at which the rate of appearance of new cases is maximum. (2 marks) (2 marks) The maximum rate of appearance of new cases. The epidemic curve. (1 mark)
Expert Answer:
Answer rating: 100% (QA)
solve it step by step The epidemic model is given by xn1 xn1x and we have x ne0001t Substituting x i... View the full answer
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
Use the substitution method to solve the simultaneous equations in the following Question. x + 4y = 13 x = 3y + 1
-
Use the substitution method to solve the simultaneous equations in the following Question. x - 3y = -2 y = 3x 2
-
Use the substitution method to solve the simultaneous equations in the following Question. a. 3x + 4y = 2 y = 4x + 10 b. 4x + 3y = 2 x = 4y + 10
-
Verde Company produces wheels for bicycles. During the year, 657,000 wheels were produced. The actual labor used was 368,000 hours at $9.50 per hour. Verde has the following labor standards: 1)...
-
Find the wavelength of a wave traveling twice the speed of sound (speed of sound = 331 m/s) that is produced by an oscillator emitting 63 pulses every 8.3 x 106 min.
-
What type of qualitative issues should management consider if a quantitative analysis reveals that a segment should be dropped?
-
Sofina Ali and Tristan Filippidis agreed to form a partnership by combining their businesses. The fair value and the carrying amount of the assets contributed by each partner and the liabilities...
-
Bali Sales Company experienced the following events: 1. Purchased merchandise inventory for cash. 2. Purchased merchandise inventory on account. 3. Returned merchandise purchased on account. 4. Sold...
-
Assuming a rate of return of 8%, calculate the monthly savings needed for education assuming that savings will continue until the children's college education is completed. Education Because of the...
-
1. Prepare a table-based ABC analysis of usage value. Classify as follows: A-items: top 20% of usage value B-items: next 30% of usage value C-items: remaining 50% of usage value 2. Calculate the...
-
2. Barnet Company adds materials at the beginning of the process in Department M. Conversion costs were 75% complete as to the 8,000 units in WIP at May 1 and 50% complete as to the 6,000 units in...
-
The total accumulated cost and revenue (in millions of dollars) for a piece of business machinery is \[C^{\prime}(t)=\frac{t}{20} \quad \text { and } \quad R^{\prime}(t)=-e^{(-t)}\] where \(t\) is...
-
The population of New Haven, Connecticut, is growing at the rate of \(450+600 \sqrt{t}\), where \(t\) is measured in years, and the present population is 123,700 . Predict the population (rounded to...
-
A freely falling body experiencing no air resistance falls \(s(t)=16 t^{2}\) feet in \(t\) seconds. Express the body's velocity at time \(t=2\) as a limit. Evaluate this limit.
-
Find the limit (if it exists) as \(n ightarrow \infty\) for each of the sequences in Problems 43-56. \(\lim _{n ightarrow \infty} \frac{10 n^{3}+13}{7 n^{2}-n+2}\)
-
Evaluate the integrals given in Problems 41-46. \(\int_{0}^{2} e^{0.5 x} d x\)
-
You work in Manufacturing for Grouse Electronics, a publicly traded manufacturer of cool computers, tablets, and phones. You are five years out of college and two years out of grad school. You have a...
-
Sue Deliveau opened a software consulting firm that immediately paid $2,000 for a computer. Was this event a transaction for the business?
-
Find the eigenvalues and eigenfunctions of H for a one-dimensional system with V(x) = for x < 0, V(x) = 1/2 kx2 for x 0.
-
The functions in Fig. 7.5 approximate the Dirac delta function. Draw graphs of the corresponding functions that approximate the Heaviside step function with successively increasing accuracy.
-
(a) Use MP2(FC)/6-31G* calculations to predict the geometry, vibrational frequencies, dipole moment, and atomization energy of CO2. Use 0.95 as the scale factor for the vibrational frequencies....
-
Figure 7.26 shows a cart striking a spring. In Figure 7.26a, consider the motion of the cart along the direct path from the initial position \(x_{1}\), which is the position at which the cart makes...
-
Standing a few meters from a skateboard, a boarder begins running and then jumps onto the board. Make bar diagrams like the ones in Figure 7.32 to illustrate the energy conversions \((a)\) while he...
-
Two carts are about to collide head-on on a track. The inertia of cart 1 is greater than the inertia of cart 2, and the collision is elastic. The speed of cart 1 before the collision is higher than...
Study smarter with the SolutionInn App