In a population model of cod, individuals are divided into newborns (0-1 year) and adults(1+ years). The survival rate for youths going into adulthood is 0.2 and the survival ratefor adults is 0.4. Youths don't reproduce and the fecundity rate of an adult is 3 offspringevery year. a. Write down the corresponding Leslie matrix b. Its dominant eigenvalue is 1. Find the corresponding normalized eigenvector c. Use your answer in b to determine what percentage of the population will be adults when the population has reached its long-term population structure. please explain and do all parts (a, b, c)

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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In a population model of cod, individuals are
divided into newborns (0-1 year) and adults(1+
years). The survival rate for youths going into
adulthood is 0.2 and the survival ratefor adults is
0.4. Youths don't reproduce and the fecundity
rate of an adult is 3 offspringevery year.
a. Write down the corresponding Leslie matrix
b. Its dominant eigenvalue is 1. Find the
corresponding normalized eigenvector
c. Use your answer in b to determine what
percentage of the population will be
adults when the population has reached its
long-term population structure.
please explain and do all parts (a, b, c)
Transcribed Image Text:In a population model of cod, individuals are divided into newborns (0-1 year) and adults(1+ years). The survival rate for youths going into adulthood is 0.2 and the survival ratefor adults is 0.4. Youths don't reproduce and the fecundity rate of an adult is 3 offspringevery year. a. Write down the corresponding Leslie matrix b. Its dominant eigenvalue is 1. Find the corresponding normalized eigenvector c. Use your answer in b to determine what percentage of the population will be adults when the population has reached its long-term population structure. please explain and do all parts (a, b, c)
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