Effects of seasonal growth on delayed prey–predator model

Sunita Gakkhar, Saroj Kumar Sahani and Kuldeep Negi

Chaos, Solitons & Fractals, 2009, vol. 39, issue 1, 230-239

Abstract: The dynamic behavior of a delayed predator–prey system with Holling II functional response is investigated. The stability analysis has been carried out and existence of Hopf bifurcation has been established. The complex dynamic behavior due to time delay has been explored. The effects of seasonal growth on the complex dynamics have been simulated. The model shows a rich variety of behavior, including period doubling, quasi-periodicity, chaos, transient chaos, and windows of periodicity.

Date: 2009
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:39:y:2009:i:1:p:230-239

DOI: 10.1016/j.chaos.2007.01.141

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