A virus infects with contact, and if you get infected you are a carrier forever. in an isolatet population with P persons is the infetionrate with time t after 1 january propotional with the product of (1) the number y(t) that is infected ( how many contagius) (2) the number that is not infected (how many that can become infected) the virus follows a logistically growth. one tenth og the population is infected 1. january. if a fifth of the population is infected a month later, how many is infected a year later? given no one is born or die
A virus infects with contact, and if you get infected you are a carrier forever. in an isolatet population with P persons is the infetionrate with time t after 1 january propotional with the product of
(1) the number y(t) that is infected ( how many contagius)
(2) the number that is not infected (how many that can become infected)
the virus follows a logistically growth. one tenth og the population is infected 1. january. if a fifth of the population is infected a month later, how many is infected a year later?
given no one is born or die.
The logistic growth model is given by
Where, c is the maximum people that can be affected (called carrying capacity or limiting value), k is the constant representing the growth rate, t is the number of months after 1, January, and a is a constant determined by the initial conditions.
Since the population is P, we have c = P.
One-tenth of the population is infected on 1, January, i.e., when t = 0.
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