A new virus strain starts out with one infected individual and passes on to others in...

A new virus strain starts out with one infected individual and passes on to others in such a
way that the number of infected individuals triples every four days. Assume that there is no
deterrent for the spread of the virus.
(a) Set up an appropriate modelling function to determine the number of infected individuals
t days after the outbreak.
(b) Determine how many individuals will be infected 10 days after the outbreak.
(c) Determine how long it will take for the number of infected individuals to reach 100,000.

Solutions

Expert Solution

(a) Every 4 days, the infected people are multiplied by a factor of 3. Hence, to find the infected people on the Day t starting from day zero, we should divide the number of days by 4 becaue that is how many peiods were there, when the infected population gets multiplied by 3. And then, we should raise 3 to this power to obtain total infected people. Hence, The appropriate model is of the type

where it is given that x(0) = 1, hence the model actually simplifies to

(b) We shall get a decimal value by putting t = 10 in this formula. Hence, e shall take the rounded integer value.

Hence, in 42 days the ifected people shall cross 100,000 and in fact, the predicted value is

milcah answered 1 year ago

Next > < Previous

Related Solutions

A diagnostic test is being developed to diagnose a new virus that has infected 10% of...

A diagnostic test is being developed to diagnose a new virus that has infected 10% of the world's population. If a person is infected with the virus, the probability that the diagnostic test comes back positive is 0.9 and if a person is not infected with the virus, the probability that the diagnostic test comes back positive is 0.25. Suppose a randomly seleted person is given the diagnostic test. Given that the test came back negative, find the probability that...

A chain email starts with a person sending an email out to five others. Each person...

A chain email starts with a person sending an email out to five others. Each person who receives the email is asked to send it on to five other people. Some people do this, but others do not send any emails. a) How many people have seen the email, including the first person, if no one receives more than one email and if the chain email ends after there have been one hundred people who read it but did not...

The probability of a randomly selected adult in one country being infected with a certain virus...

The probability of a randomly selected adult in one country being infected with a certain virus is 0.006 . In tests for the virus, blood samples from 21 people are combined. What is the probability that the combined sample tests positive for the virus? Is it unlikely for such a combined sample to test positive? Note that the combined sample tests positive if at least one person has the virus.

You are studying the source of a new virus that has recently infected humans. You suspect...

You are studying the source of a new virus that has recently infected humans. You suspect that the virus was transferred from oter primates (they exhibit a similar infection), specifically chimpanzees, gorillas, or orangutans. You sample blood from several infected humans and sequence some viral genes. You then build a phylogenetic tree with the human sequences and all the known strains from each primate. Draw a hypothetical phylogenetic tree that would suggest that the virus came from gorillas, and this...

Most people who are infected with the HTLV-1 virus are asymptomatic carriers. One specific subtype of...

Most people who are infected with the HTLV-1 virus are asymptomatic carriers. One specific subtype of HTLV-I occurs only in a sub-population of the Japanese population and among the native peoples of the Andes mountain area of northern Chile. The researchers are looking for the presence of HTLV-1 DNA in the bone marrow cells of well-preserved Andean mummies. The presence of HTLV-1 DNA in the mummies, of the same subtype observed in Japan, would indicate that some of the first...

With capital budgeting, one method that is the simplest but stands out among others is the...

With capital budgeting, one method that is the simplest but stands out among others is the payback method. What makes this method different than the others and why is the method inferior to the others?

The immune response to any virus is similar to the one you've mapped out in your...

The immune response to any virus is similar to the one you've mapped out in your flow chart. HIV is an infection that targets and kills helper T cells. Explain why HIV leads to AIDS, or acquired immunodeficiency syndrome, where the immune system is non-functional. Be sure you discuss APCs, helper T cells, cytotoxic T cells and B cells in your answer.

(5) A new virus has emerged in the Southwest United States for which no one has...

(5) A new virus has emerged in the Southwest United States for which no one has immunity (so re-infection is possible). The Centers for Disease Control has tasked you with modeling the outbreak assuming a population of healthy people (H) and sick people (S). Some of the sick people (S) will recover while others will perish (D). This can be modeled by the following elementary reactions: Getting sick from virus exposure (rate constant k1): H -> S Getting sick from...

"A study was conducted to evaluate new test for human papilloma virus (HPV). One hundred fifteen...

"A study was conducted to evaluate new test for human papilloma virus (HPV). One hundred fifteen women with HPV were compared to 426 women who did not have HPV. A total of 97 women tested positive using the new test, 81 of whom really did have HPV. You will be graded on calculations (including completion of the 2x2 table as shown in class and showing your work for calculation, your interpretations, and your answers to the other questions. Your interpretations...

Subjects