Members of an indefinitely large population

Reference no: EM13826917

Members of an indefinitely large population are either immune to a given disease or are susceptible to it. Let Xn be the number of susceptible members in the population at time period n and suppose X0 = 0 and that in the absence of an epidemic X(n+1) = Xn + 1. Thus, in the absence of the disease, the number of susceptibles in the population increases in time, possibly owing to individuals losing their immunity, or to the introduction of new susceptible members to the population.

But in each period there is a constant but unknown probability p of a pandemic disease. When the disease occurs all susceptibles are stricken. The disease is non-lethal and confers immunity, so that if T is the first time of disease occurence, then Xt = 0.

Compute the stationary distribution for (Xn).

Reference no: EM13826917

Questions Cloud

Trace the lives of jesus and mohammed historically : Compare and contrast the lives of Jesus and Mohammed in relation to each respective religion. Points to remember. Trace the lives of Jesus and Mohammed historically

Cash receipt activities to the internal control principle : Match each of the following cash receipt activities to the internal control principle to which it best relates. Enter the appropriate letter in the space provided. A list of checks received in the mail is prepared. Total cash receipts are compared to..

Produce a system sequence diagram consistent : Produce a system sequence diagram consistent with the normal flow detailed in the full use case description.

What is the best way to determine what depreciation method : What is the best way to determine what depreciation method a company uses when referring to the financial statements?

Members of an indefinitely large population : Members of an indefinitely large population are either immune to a given disease or are susceptible to it. Let Xn be the number of susceptible members in the population at time period n and suppose X0 = 0 and that in the absence of an epidemic X(n+1)..

What are qualitative characteristics of useful information : According to CICA Handbook section 1000 (ASPE), what are the “qualitative characteristics of useful information”? What is the difference between ASPE and IRFS characteristics of useful information?

Purchase a house with loan from bank : Michelle and Ken Dunn, both in their mid-20s, have been married for 4 years and have two preschool-age children. Ken has an accounting degree and is employed as a cost accountant at an annual salary of $62,000.

Get the answer to this 3.55x(4/1)x(5/6) : How do I get the answer to this 3.55x(4/1)x(5/6)= How do I express these as percentages 0.45 and 2/3 ? Respectively

Distinguish between sales control and revenue control : Distinguish between sales control and revenue control. List and explain the three goals of sales control.

User Account

All Pages