Please show all work and equations Thank you Matric modes Co

Please show all work and equations. Thank you!

Matric modes. Consider a species of rodent with the following life history characteristics: 1) individuals born in one year have 50% chance of living to see the next year 2) and those that live to be 1 year old have 50% chance of living to be two years old 3) individuals that are two years old or older have a 90% chance of dying before they see their next birthday 4) 0-year olds do not reproduce 5) 1-year olds have a fecundity rate of 3 6) individuals that are two years old or older hace a fecudndity rate of 4

a) write down the projection matrix.

b) is this population increasing or decreasing, and brefly how do you know? What is the stable age distibution?

c) Supose the island on which te rodent lives is invaded by feral cats, which ensure that individuals that live to be one-year old have only a 10% chance of living to be two years old, and individuals that are two years old or older have a 100% chance of dying before they see their next birthday. WIll this wipe out the population?

Solution