2009•Basic Sciences Journal of Textile UniversitiesRequires access
The local bifurcation solutions and the stability of the predator-prey model with ratio-dependent functional response
Zha Shu-ling
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Abstract
The local bifurcation of semi-trivial solutions and the stability of the predator-prey model with ratio-dependent functional response are discussed by spectral analysis and methods of bifurcation theory.When the growth rates b is treated as bifurcation parameter,the bifurcation from semi-trivial solutions is considered.Moreover,the stability of the solution s is determined.