Consider the evolution of the population of a species of small rodents. Assume that the number of males and females are nearly equal. Due to statistical data one can assume that each female remains a juvenile for one year and then becomes an adult, and that only adults have offspring. The reproduction rate is 2. The adult surviving rate is α. The juvenile surviving rate is 2/5. Initially the population counted 100 females and 40 juveniles. What values of the adult surviving rate will ensure that the population stabilize?

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