The Global Bifurcation for a Predator-Prey Model with Nonlinear Diffusion
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The Global Bifurcation for a Predator-Prey Model with Nonlinear Diffusion
Acta Scientiarum Naturalium Universitatis SunYatseniVol. 51, Issue 2, Pages: 49-53(2012)
作者机构:
1. 陕西科技大学理学院,陕西,西安,710021
2.
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Published:2012,
Published Online:25 March 2012,
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GUO Gaihui, LI Bingfang. The Global Bifurcation for a Predator-Prey Model with Nonlinear Diffusion. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 51(2):49-53(2012)
DOI:
GUO Gaihui, LI Bingfang. The Global Bifurcation for a Predator-Prey Model with Nonlinear Diffusion. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 51(2):49-53(2012)DOI:
The Global Bifurcation for a Predator-Prey Model with Nonlinear Diffusion
A nonlinear diffusive predator-prey model is studied under Dirichlet boundary conditions. Some a priori estimates are firstly derived. Then by investigating the corresponding eigenvalue problem and taking the growth rate of prey as a parameter
local bifurcation positive solutions emanating from the semitrivial solutions are obtained. Finally
by use of global bifurcation theory
two sufficient conditions for the existence of positive solutions are established.