TY - JOUR
AU - Hofman, Alexandru
AU - Precup, Radu
PY - 2024/04/29
Y2 - 2024/10/05
TI - Vector Fixed Point Approach to Control of Kolmogorov Differential Systems
JF - Contemporary Mathematics
JA - Contemp. Math.
VL - 5
IS - 2
SE - Research Article
DO - 10.37256/cm.5220242840
UR - https://ojs.wiserpub.com/index.php/CM/article/view/2840
SP - 2411-2425
AB - <p>The paper presents a vector approach to control problems for systems of equations. The method is described in the case of Kolmogorov systems which arise frequently in the dynamics of populations. Three types of problems are discussed: problems with control of both per capita growth rates, problems with control parameters acting on the growth rates, and problems which combine the first two types. The controllability is obtained via a vector approach based on the Perov fixed point theorem and matrices which are convergent to zero. Four concrete illustrative examples are added.</p>
ER -