An Impulsively Controlled Three-Species Prey-Predator Model with Stage Structure and Birth Pulse for Predator
We investigate the dynamic behaviors of a two-prey one-predator system with stage structure and birth pulse for predator. By using the Floquet theory of linear periodic impulsive equation and small amplitude perturbation method, we show that there exists a globally asymptotically stable two-prey...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/380492 |
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| Summary: | We investigate the dynamic behaviors of a two-prey one-predator system with stage structure and birth pulse for predator.
By using the Floquet theory of linear
periodic impulsive equation and small amplitude perturbation method, we show that there exists a
globally asymptotically stable two-prey eradication
periodic solution when the impulsive period is less than
some critical value. Further, we study the permanence of the investigated model. Our
results provide valuable strategy for biological economics
management. Numerical analysis is also inserted to illustrate the results. |
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| ISSN: | 1026-0226 1607-887X |