TY - JOUR
T1 - Optimal Control Problem for a Reaction-Diffusion System of Three Populations
AU - Wang , Xiaoni
AU - Guo , Gaihui
AU - Li , Jian
JO - East Asian Journal on Applied Mathematics
VL - 4
SP - 808
EP - 828
PY - 2021
DA - 2021/08
SN - 11
DO - http://doi.org/10.4208/eajam.281020.290421
UR - https://global-sci.org/intro/article_detail/eajam/19373.html
KW - Optimal control, reaction-diffusion, controlled system, optimality conditions.
AB - <p style="text-align: justify;">The work deals with an optimal control problem for a reaction-diffusion system comprising two competing populations, one of which is a prey for a third population.
In order to maximise the total density of these populations, the existence and uniqueness
of a positive strong solution of a controlled system are studied. After that, the techniques
of minimal sequences is used in order to show the existence of an optimal solution. The
first and second order optimality conditions are also constructed.</p>