Question: A population of eld mice, m k , k = 0 ; 1 ; 2 ;..... increases its population by 2 % each week. An

A population of eld mice, m_k, k = 0; 1; 2;..... increases its population by 2%

each week. An owl kills a constant number, , each week. The initial population is 100.

(a) Write a difference equation for the mouse population, including the initial value. Indicate what each term represents. DO NOT do any calculations.

(b) Write the equivalent dierential equation for population, m(t)?

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