Five rodents in a population of 500 are infected with a new strain of corona virus to test a theory of epidemic spread that postulate the rate of change in the infected population is proportional to...

Extracted text: Five rodents in a population of 500 are infected with a new strain of corona virus to test a theory of epidemic spread that postulate the rate of change in the infected population is proportional to the product of the number of rodents who have the virus with the number that are virus free. With this theory, in terms of k, how long will it take half the population to contact the disease?