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Bifurcation and Chaos in a Parasitoid-Host-Parasitoid Model
College of Information Engineering, Tarim University, Alar, China
College of Information Engineering, Tarim University, Alar, China
- 1 College of Information Engineering, Tarim University, Alar, China
- 2 College of Information Engineering, Tarim University, Alar, China
International Journal of Modern Nonlinear Theory and Application·Volume 07 (2018)·Pages 1–15·Published 7 March 2018·DOI10.4236/ijmnta.2018.71001
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Abstract
This paper discusses a parasitoid-host-parasitoid ecological model and its dynamical behaviors. On the basis of the center manifold theorem and bi-furcation theory, the existence conditions of the flip bifurcation and Neimark-Sacker bifurcation are derived. In the end of the paper, some typical numerical experiments are performed, which illustrate that the theoretical method is effective.
KeywordsEcological ModelStabilityBifurcationNumerical Simulation
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