Complex dynamics of a stochastic discrete modified Leslie-Gower predator-prey model with Michaelis-Menten type prey harvesting
This paper introduced a stochastic discretized version of the modified Leslie-Gower predator-prey model with Michaelis-Menten type prey harvesting. The dynamical behavior of the proposed model was investigated. The existence and stability of the equilibria of the skeleton were studied. Numerical sim...
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| Format: | Article |
| Language: | English |
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International Academy of Ecology and Environmental Sciences
2014-06-01
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| Series: | Computational Ecology and Software |
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| Online Access: | http://www.iaees.org/publications/journals/ces/articles/2014-4(2)/dynamics-of-a-stochastic-discrete-modified-Leslie-Gower-model.pdf |
| Summary: | This paper introduced a stochastic discretized version of the modified Leslie-Gower predator-prey model with Michaelis-Menten type prey harvesting. The dynamical behavior of the proposed model was investigated. The existence and stability of the equilibria of the skeleton were studied. Numerical simulations were employed to show the model's complex dynamics by means of the largest Lyapunov exponents, bifurcations, time series diagrams and phase portraits. The effects of noise intensity on its dynamics and the intermittency phenomenon were also discussed via simulation. |
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| ISSN: | 2220-721X 2220-721X |