In this paper, we investigate the optimal harvesting for a class of size-structured population system in a polluted environment, making the maximum revenue by controlling the species harvest and inputting rates of the external toxin into the environment. Fixed point theory is used to obtain the existence and uniqueness of solution of the system. Optimality conditions are derived by means of tangent-normal cones and the technique of adjoint system. Some results in references are extended.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.