Relaxation oscillations in predator–prey model with distributed delay
Journal Article
·
· Computational and Applied Mathematics
- Shanghai Normal University, Department of Mathematics (China)
The predator–prey model with distributed delay is stated in present paper. On the basis of geometric singular perturbation theory, the transition of the solution trajectory is illuminated, and the existence of the relaxation oscillation is proved. It is indicated the characteristic of the relaxation oscillation is dependent on the structure of the slow manifold. Moreover, the approximate expression of the relaxation oscillation and its period are obtained analytically. One case study is given to demonstrate the validity of theoretical results.
- OSTI ID:
- 22769378
- Journal Information:
- Computational and Applied Mathematics, Journal Name: Computational and Applied Mathematics Journal Issue: 1 Vol. 37; ISSN 0101-8205
- Country of Publication:
- United States
- Language:
- English
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