Controllability and stabilization of a nonlinear hierarchical age-structured competing system
| dc.contributor.author | He, Ze-Rong | |
| dc.contributor.author | Zhou, Nan | |
| dc.date.accessioned | 2021-09-29T20:34:53Z | |
| dc.date.available | 2021-09-29T20:34:53Z | |
| dc.date.issued | 2020-06-11 | |
| dc.description.abstract | This article concerns the approximate controllability of a biological system, which is composed of two hierarchical age-structured competing species. Basing on a controllability result of linear system, we prove that the nonlinear system is approximately controllable by means of a fixed point theorem for multi-valued mappings. To fix a suitable control policy, we deal with an optimal control problem and established the existence of the unique optimal strategy. In addition, the stabilization problem of the system is also considered. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 16 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | He, Z. R., & Zhou, N. (2020). Controllability and stabilization of a nonlinear hierarchical age-structured competing system. <i>Electronic Journal of Differential Equations, 2020</i>(58), pp. 1-16. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14565 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Hierarchy of age | |
| dc.subject | Population system | |
| dc.subject | Competition | |
| dc.subject | Controllability | |
| dc.subject | Fan-Glicksberg fixed points | |
| dc.title | Controllability and stabilization of a nonlinear hierarchical age-structured competing system | |
| dc.type | Article |