Multiplicity and uniqueness of positive solutions to a diffusive food-chain model
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Multiplicity and uniqueness of positive solutions to a diffusive food-chain model
Acta Scientiarum Naturalium Universitatis SunYatseniVol. 56, Issue 5, Pages: 51-59(2017)
作者机构:
宝鸡文理学院数学与信息科学学院,陕西,宝鸡,721013
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Published:2017,
Published Online:25 September 2017,
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LI Haixia. Multiplicity and uniqueness of positive solutions to a diffusive food-chain model. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 56(5):51-59(2017)
DOI:
LI Haixia. Multiplicity and uniqueness of positive solutions to a diffusive food-chain model. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 56(5):51-59(2017)DOI:
Multiplicity and uniqueness of positive solutions to a diffusive food-chain model
A food-chain system with Crowley-Martin functional response is studied. By making use of the global bifurcation theory and degree theory
the existence and multiplicity of positive solutions are discussed and the basic shape of bifurcation curve of positive solutions is obtained. Moreover
the conditions of the uniqueness and stability of positive solutions are given by means of perturbation theory. It turns out that there exists a unique asymptotically stable positive solution under certain conditions when d is sufficiently large.