Optimal control of age-structured population dynamics for spread of universally fatal diseases

Optimal control of age-structured population dynamics for spread of universally fatal diseases II

“…In conclusion, in this paper, on the basis of our preceding paper [1], we further investigate the optimal control problem of age-structured population dynamics for spread of universally fatal diseases in free final horizon case, and present some new results of current interests. Noting that in fixed final horizon case, the obtained results are based on the premise of two assumed additional conditions which are, respectively, deposed on the admissible control set and the cost functional.…”

“…An interesting case is that M is allowed to contain only finite many points. In addition, we still adopt the weak solution for the system (1.1) that has been justified in [1]. Precisely speaking, there exists a unique solution S(r, t), I (r, t) ∈ C(0, t 1 ; L 2 (0, r m )) for any β(t) ∈ L ∞ (0, t 1 ).…”

“…To help the readers understand this paper much better, we recall several key definitions presented in our previous paper [1]. Just as mentioned previously, we suppose the total population is divided into two groups.…”

“…In our preceding paper [1], we discussed optimal control problems of age-structured population dynamics for the spread of universally fatal diseases in fixed final horizon case. As its a direct continuation, this present article investigates the foregoing system in free final horizon case under weaker additional conditions and derives further new results of current interests.…”