n be foundintheemodelomn eexercises, constant yield, o the model N\" = rN-h . Ot
ID: 2877389 • Letter: N
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n be foundintheemodelomn eexercises, constant yield, o the model N" = rN-h . Other Ill, Can be found in the exercises. 55 Exercises ising the data in Table 5.1 solve the Malthus equation (5.1) for the population o Using the as the initial population in 1997 the value No 57 million ing the same trend in the population continues, what vill be the popultion of ty ) for the population of Italy, using as the initial population in 1997 t b) Assuming the same in 2050? 0) What is the percent decrease in the population of Italy in one year? , According to the World Factbook cited above, the current net migration rate into the U.S. is 2. According t approximately 3.1 per 1000 persons per year. account. Recalculate the doubling time takng this into . Given that the 1997 populations of Mexico and the U.S. are 97.5 and 268 million respectively, assuming the Malthus model and the growth rates in Table 5.1, when will the populations of the two countries be equal and what will be their common size? size of a population follows an exponential growth equation, N=M e , show that in any period 1 the population is multiplied by the factor A=er(s) Using this sult, show that sutive perios hopulaton gows by the r % Ifthe size of a population follo If the size of time in k conse consecut . a) Table 5.2 shows tha 2 shows that in the 10-year period fom 1970 to 1980 the world population increased from 3.71 billi ed from 3.71 billion to 4.45 billion. Assuming the population growth in those ceasExplanation / Answer
Ans) 1) a) N0 = 57M in 1997
As table is not given
b) Let say every year growt rate is 3%
So, in 1998 the population will be N0 + (3/100)N0 = (103/100)N0 = (103/100)57M = 58.71M
S, in 2050 i.e, after 53 years will be N0 + 53(3/100)N0 = 53(103/100)N0 = 53(103/100)57M = 3111.63M
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