Abstract
A differential-algebraic model is proposed in this paper, which is utilized to investigate complex dynamical behavior of epidemiological system with harvesting. Especially, the periodic, quasi-periodic and chaotic phenomenon in the proposed model system is studied by virtue of Poincaré surface section, Lyapunov exponents, fractal dimension and continuous spectrum. Corresponding controller is designed to stabilize chaotic behavior to target orbit. Numerical simulations show that the chaotic behavior and quasi-periodic behavior occur due to the variation of transmission rate of the infected prey.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the 32nd Chinese Control Conference, CCC 2013 |
| Publisher | IEEE Computer Society |
| Pages | 8225-8230 |
| Number of pages | 6 |
| ISBN (Print) | 9789881563835 |
| Publication status | Published - 18 Oct 2013 |
| Externally published | Yes |
| Event | 32nd Chinese Control Conference, CCC 2013 - Xi'an, China Duration: 26 Jul 2013 → 28 Jul 2013 |
Conference
| Conference | 32nd Chinese Control Conference, CCC 2013 |
|---|---|
| Country | China |
| City | Xi'an |
| Period | 26/07/13 → 28/07/13 |
Keywords
- chaotic behavior
- control
- epidemiological system
- harvesting
ASJC Scopus subject areas
- Computer Science Applications
- Control and Systems Engineering
- Applied Mathematics
- Modelling and Simulation