The dynamics of a delayed predator-prey model with state dependent feedback control
Journal Article
·
· AIP Conference Proceedings
- Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee (India)
A delayed prey-predator model with state-dependent impulses is investigated. The sufficient conditions of existence and stability of semi-trivial solution and positive period-1 solution are obtained by using the Poincare map and analogue of the Poincare Criterion. The qualitative analysis shows that the positive period-one solution bifurcates from the semi-trivial solution through a fold bifurcation. The complex dynamics including chaos is obtained and numerical simulations substantiate the analytical results.
- OSTI ID:
- 21608504
- Journal Information:
- AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1368; ISSN APCPCS; ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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