In a Model of Epidemics, the Number of Infected Individuals $\frac { d y } { d t } = 0.6 y - 0.0002 y ^ { 2 }$

question 87

Essay

In a model of epidemics, the number of infected individuals in a population at a time is a solution of the logistic differential equation $\frac { d y } { d t } = 0.6 y - 0.0002 y ^ { 2 }$ , where y is the number of infected individuals in the community and t is the time in days.(a) Describe the population for this situation.(b) Assume that 10 people were infected at the initial time t = 0. Find the solution for the differential equation.(c) How many days will it take for half of the population to be infected?

---

Definitions:

Government Grants

Financial assistance given by the government to individuals, organizations, or companies in support of activities that are considered beneficial to the public interest.

Profit-Oriented Enterprise

An organization that operates with the primary goal of earning profits, as opposed to non-profit organizations.

Not-for-profit Organization

An entity that operates for purposes other than generating profit for owners or shareholders, focusing instead on a mission or specific group of people.

Equity Method

An accounting approach used for recording investments in associate companies where the investment is initially recognized at cost and adjusted thereafter for the post-acquisition change in the investor's share of the net assets of the investee.