It shows the change in the population of the red-eared slider population x(t), assuming that the habitat is increasing at an annual rate of 3% for 1980–2000, from an initial value of α = 2. The red-eared slider survivorship is fixed at and β = 0.99, β = 0.50, β = 0.01, and β = –0.05. The value of β = 0.99 indicate conditions with red-eared slider survival of 1%, while β = –0.05 represents a natural spread of 5%