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- Title
Stability of a predator-prey system with Beddington-DeAngelis functional response and harvesting rates.
- Authors
HAN Er-dong; ZHENG Wei-wei; LUO Li-gui
- Abstract
A predator-prey system with Beddington-DeAngelis functional response and selective harves-ting rates of predator species is given, where prey and predator both has linear density dependent. Using ordinary differential equations characterization and stability, the existence and uniqueness of positive e-quilibriums was studied. The sufficient conditions of its global asymptotic stability and local asymptotic stability are given. An optimal taxation policy is obtained by Pontryagin's maximum principle.
- Subjects
PREDATION; GLOBAL asymptotic stability; LINEAR dependence (Mathematics); ORDINARY differential equations; PONTRYAGIN'S minimum principle; MATHEMATICAL functions
- Publication
Basic Sciences Journal of Textile Universities / Fangzhi Gaoxiao Jichu Kexue Xuebao, 2012, Vol 25, Issue 2, p145
- ISSN
1006-8341
- Publication type
Article