Consider a population of Jabberwockies. Jabberwockies emerge from eggs in the spring, breed and lay eggs in the autumn, and die in the winter. Their eggs hatch the following spring and the cycle repeats. Assume that each Jabberwocky lays a fixed number of eggs E, and that a proportion v of these eggs hatch the following spring (the rest are not viable or are eaten). Also, suppose that pesticide is sprayed each summer and kills a proportion p of adult Jabberwockies before they breed. Density-dependence can be neglected. a. Write down a difference equation model for this population, where the variable is the number of jabberwockies in the summer of year n before spraying. b. Solve the model equations.