Article contents
Dynamics of a Modified Predator-Prey System to allow for a Functional Response and Time Delay
Published online by Cambridge University Press: 19 October 2016
Abstract
A modified predator-prey system described by two differential equations and an algebraic equation is discussed. Formulae for determining the direction of a Hopf bifurcation and the stability of the bifurcating periodic solutions are derived differential-algebraic system theory, bifurcation theory and centre manifold theory. Numerical simulations illustrate the results, which includes quite complex dynamical behaviour.
MSC classification
- Type
- Research Article
- Information
- Copyright
- Copyright © Global-Science Press 2016
References
- 2
- Cited by