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Question

Construct Mathematical Model for Human population divided into three age groups: Group Age 0-14; Group 2: Age 15-39; Group 3: Age 40. Assume that in each of the groups the ages are evenly distributed in the group. Thus the rate of advancement to group 2 from group 1 is 1/15 and from group 2 to group 3 is 1/25. Let b1 = 0, b2 = 0.04, b3 = 0 & d1 = 0.005, d2 = 0.01, d3 = 0.015 be the birth & death rates of the populations in groups 1, 2, 3 respectively. Compare the growth of the following two initial populations measured in thousands: case 1: Total 200, 400/1400/1000; case 2: Total 400, 300/1300/1000.

          Construct Mathematical Model for Human population divided into three age groups: Group Age 0-14; Group 2: Age 15-39; Group 3: Age 40. Assume that in each of the groups the ages are evenly distributed in the group. Thus the rate of advancement to group 2 from group 1 is 1/15 and from group 2 to group 3 is 1/25. Let b1 = 0, b2 = 0.04, b3 = 0 & d1 = 0.005, d2 = 0.01, d3 = 0.015 be the birth & death rates of the populations in groups 1, 2, 3 respectively. Compare the growth of the following two initial populations measured in thousands: case 1: Total 200, 400/1400/1000; case 2: Total 400, 300/1300/1000.

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