Fister, K. Renee; Lenhart, Suzanne Optimal harvesting in an age-structured predator-prey model. (English) Zbl 1102.49014 Appl. Math. Optimization 54, No. 1, 1-15 (2006). Summary: We investigate optimal harvesting control in a predator-prey model in which the prey population is represented by a first-order partial differential equation with age-structure and the predator population is represented by an ordinary differential equation in time. The controls are the proportions of the populations to be harvested, and the objective functional represents the profit from harvesting. The existence and uniqueness of the optimal control pair are established. Cited in 40 Documents MSC: 49K20 Optimality conditions for problems involving partial differential equations 35F20 Nonlinear first-order PDEs Keywords:optimal control; age-structure; predator-prey PDFBibTeX XMLCite \textit{K. R. Fister} and \textit{S. Lenhart}, Appl. Math. Optim. 54, No. 1, 1--15 (2006; Zbl 1102.49014) Full Text: DOI