| A STAGE-STRUCTURED AND HARVESTING PREDATOR-PREY SYSTEM |
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| 基金项目： | supported by the Foundation of Fujian Education Bureau (JA08253); the Technology Innovation Platform Project of Fujian Province (2009J1007) |
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| 摘 要： | A predator-prey system with independent harvesting in either species and BeddingtonDeAngelis functional response is investigated. By analyzing characteristic equations and using an iterative technique,we obtain a set of easily verifiable sufficient conditions,which ensure the local and global stability of the nonnegative equilibria of the system. It is also shown that the time delay can cause a stable equilibrium to become unstable and even a switching of stabilities. Numerical simulations are carried out t...
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| 关 键 词： | predator-prey model harvesting stage-structure uniform persistence stability switch time delay Hopf bifurcation |
A STAGE-STRUCTURED AND HARVESTING PREDATOR-PREY SYSTEM |
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| Authors: | Liujuan Chen Fengde Chen |
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| Institution: | Liujuan Chen (Ministry of Science Training,Fujian Institute of Education,Fuzhou 350001) Fengde Chen(College of Math. and Computer Science,Fuzhou University,Fuzhou 350002) |
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| Abstract: | A predator-prey system with independent harvesting in either species and BeddingtonDeAngelis functional response is investigated. By analyzing characteristic equations and using an iterative technique,we obtain a set of easily verifiable sufficient conditions,which ensure the local and global stability of the nonnegative equilibria of the system. It is also shown that the time delay can cause a stable equilibrium to become unstable and even a switching of stabilities. Numerical simulations are carried out t... |
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| Keywords: | predator-prey model harvesting stage-structure uniform persistence stability switch time delay Hopf bifurcation |
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