The rate of increase of COVID-19 infection is directly proportional to the number of people infected and to the number people not yet infected. An isolated remote barangay of population 10,000 records its first case on June 15, 2020. After two days, 100 people are infected. Develop a model that predicts the number of COVID-19 cases in the barangay. How long will it take for 90% of the population to be infected? Assume that the virus persists in the person infected.

The rate of increase of COVID-19 infection is directly proportional to the number of people infected and to the number people not yet infected. An isolated remote barangay of population 10,000 records its first case on June 15, 2020. After two days, 100 people are infected. Develop a model that predicts the number of COVID-19 cases in the barangay. How long will it take for 90% of the population to be infected? Assume that the virus persists in the person infected.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 25EQ

See similar textbooks

Similar questions

What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?
Does a linear, exponential, or logarithmic model best fit the data in Table 2? Find the model.
Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use exponential regression to fit a model to these data. b. If spending continues at this rate, what will the graduate’s credit card debt be one year after graduating?
Use log21=0,log22=1, and log24=2 to estimate log23.
The deadly Ebola virus is a threat to both people and gorillas in Central Africa. An outbreak in 2002 and 2003 killed 91 of the 95 gorillas in seven home ranges in the Congo. To study the spread of the virus, measure "distance" by the number of home ranges separating a group of gorillas from the first group infected. Here are data on distance and time in number of days until deaths began in each later group. (Data set may be found here.) Distance 1 3 4 4 4 5 Time 4 21 33 41 43 46 (a) Make a scatterplot. Which is the explanatory variable? distance time either distance or time Correct: Your answer is correct. What kind of pattern does your plot show? There is a strong positive linear association between distance and time. There is a strong negative linear association between distance and time. There is little to no association between distance and time. Correct: Your answer is correct. ( b) Find the correlation r between distance and time. (Round your answer to four decimal places.) (c)…
A car servicing station has 2 bays where service can be offered simultaneously. Because of space limitation, only 4 cars are accepted for servicing. The arrival pattern is Poisson with 12 cars per day. The service time in both the bays is exponentially distributed with µ = 8 cars per day per bay. Find the average number of cars in the service station, the average number of cars waiting for service and the average time a car spends in the system.
The deadly Ebola virus is a threat to both people and gorillas in Central Africa. An outbreak in 2002 and 2003 killed 91 of the 95 gorillas in seven home ranges in the Congo. To study the spread of the virus, measure "distance" by the number of home ranges separating a group of gorillas from the first group infected. Here are data on distance and time in number of days until deaths began in each later group. (Data set may be found here.) Distance 1 3 4 4 4 5 Time 4 21 33 41 43 46 (a) Make a scatterplot. Which is the explanatory variable? What kind of pattern does your plot show?(b) Find the correlation r between distance and time.
An investigator wants to estimate the impact of smoking on the incidence of prostate cancer. The incidence of prostate cancer by the age of 70 is about 1 in 6 (17%) P2=0.17. U.S. study reporters that heavy smokers had twice the risk of developing prostate cancer as compared to nonsmokers (34%) P1=0.34. A repeat study in England, cohort enrolls men at age 50 and followed them for 30 years. Problem: Generste a 95% confidence level, assume a 20% attrition, and a margin of error of no more than 0.05 (5%) E=0.05
Dr. Payne is studying the number of davs patients stav in Armadillo Community Hospital after a specific surgical procedure. She examined the records of all patients who had the procedure within the past year and found that u = 4 and o = 1.50. She's worried about the long-term outlook for patients who have lengthy hospital stays, and she has recommended to the board of directors that the 15% of patients who stay the longest should receive special follow-up care A. This means that all patients who stay blank (don't round off the number of days) days or more should receive special care. B. If a patient's hospital stay is at the 25th percentile, should he receive special care under Dr. Payne's recommendation?
Since muscle tension in the head region has been associated with tension headaches, a researcher reasoned that if the muscle tension could be changed, perhaps the headaches would also be changed. The researcher designed an experiment in which nine subjects with tension headaches participated. The subjects kept daily logs of the number of headaches they experienced during a 2-week baseline period. Then the researcher trained them to change their muscle tension in the head region, using a biofeedback device. For this experiment, the biofeedback device was connected to a muscle in the forehead region. The device indicated the subject's amount of tension in the muscle to which it was attached and helped them achieve low tension levels. After 6 weeks of training, during which the subjects became successful at maintaining low muscle tension, they again kept a 2-week log of the number of headaches experienced. The following are the number of headaches recorded during each 2-week period.…