X - International Journal of Information Science and Computer Mathematics (Closed Ed TRF)
Volume 2, Issue 2, Pages 103 - 116
(November 2010)
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BIFURCATION ANALYSIS IN AN AGE STRUCTURED PREDATOR-PREY MODEL WITH TIME DELAY
Changjin Xu and Qianhong Zhang
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Abstract:
In this paper, an age structured predator-prey model with time delay is considered. Its dynamics are studied in terms of local analysis and Hopf bifurcation analysis. By analyzing the associated characteristic transcendental equation, its linear stability is investigated and Hopf bifurcation is demonstrated. The length of delay which preserves the stability of the positive equilibrium is calculated. Some numerical simulation for justifying the analytical findings is also provided. Finally, main conclusions are given. |
| Keywords and phrases: predator-prey model, time delay, stability, Hopf bifurcation, periodic solution. |
| Communicated by Kewen Zhao |
| Number of Downloads: 58 | Number of Views: 206 |
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