Novel trend of mixed Minkowski volumes applications

ABSTRACT

In this paper, a family of equations with uncertain values of parameters is investigated. An application of mixed Minkovski volumes is proposed, and conditions for stability, asymptotic stability and instability of the stationary solutions are established.     

Optimal contraception control for a size-structured population model with extra mortality

ABSTRACT

This paper investigates the theoretical aspects for an optimal contraception control problem of a linear size-structured population model with extra mortality. The existence of a unique non-negative solution is established by using the Banach fixed-point theorem. The existence of a unique optimal strategy is derived by the Mazur theorem in convex analysis and the optimality conditions are obtained by means of normal cone and adjoint system techniques. Finally, some numerical results demonstrate the effectiveness of the theoretical results in our paper.