Abstract
In this paper, we study an optimal control problem for an age-dependent population hybrid system in a polluted environment. Namely, we establish a new toxicant-population model with age-dependence in a small content of the environment. By fixed point theorem, we obtain the existence and uniqueness of nonnegative solution of the toxicant-population model with age-dependence. We employ tangent-normal cone techniques in nonlinear functional analysis to deduct the optimality conditions for control problem. The existence of optimal control policy is carefully verified by means of Ekeland’s variational principle.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
