full
search.png

Search

close.png

Cancel

arrow
Volume 11, Issue 4
Optimal Control Problem for a Reaction-Diffusion System of Three Populations

Xiaoni Wang, Gaihui Guo & Jian Li

DOI: 10.4208/eajam.281020.290421

East Asian J. Appl. Math., 11 (2021), pp. 808-828.

Published online: 2021-08

Preview Purchase PDF 2088 36915

Cited by

google scholar semantic scholar
Export citation
  • Abstract

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.

  • Keywords

Optimal control, reaction-diffusion, controlled system, optimality conditions.

  • AMS Subject Headings

65M10, 78A48

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{EAJAM-11-808, author = {Wang , XiaoniGuo , Gaihui and Li , Jian}, title = {Optimal Control Problem for a Reaction-Diffusion System of Three Populations}, journal = {East Asian Journal on Applied Mathematics}, year = {2021}, volume = {11}, number = {4}, pages = {808--828}, abstract = {

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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.281020.290421}, url = {http://global-sci.org/intro/article_detail/eajam/19373.html} }
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 -

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.

Wang , XiaoniGuo , Gaihui and Li , Jian. (2021). Optimal Control Problem for a Reaction-Diffusion System of Three Populations. East Asian Journal on Applied Mathematics. 11 (4). 808-828. doi:10.4208/eajam.281020.290421
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard