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- Title
Bifurcation solutions of a predator-prey model on plankton.
- Authors
GE Yu-han; LI Yan-ling
- Abstract
The existence of positive solutions of the steady-state system for the predator-prey model between plankton in a marine ecosystem with Holling type II functional response is studied. Firstly,by the linearized stability theory,the stability of positive constant steady-state solution is discussed. Secondly, by means of the bifurcation theory,non-constant steady-state solutions bifurcating from the positive constant steady-state solution are given by treating the diffusion coefficient as the bifurcation parameter, which implies the existence of non-constant steady-state solutions.
- Subjects
STEADY-state flow; LOTKA-Volterra equations; FLOW simulations; MATHEMATICAL models of fluid dynamics; BIOLOGICAL mathematical modeling; MATHEMATICAL models
- Publication
Basic Sciences Journal of Textile Universities / Fangzhi Gaoxiao Jichu Kexue Xuebao, 2014, Vol 27, Issue 1, p77
- ISSN
1006-8341
- Publication type
Article