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Bifurcation of non-negative solutions for an elliptic system

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Abstract

In the paper, we consider a nonlinear elliptic system coming from the predator-prey model with diffusion. Predator growth-rate is treated as bifurcation parameter. The range of parameter is found for which there exists nontrivial solution via the theory of bifurcation from infinity, local bifurcation and global bifurcation.

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Authors and Affiliations

  1. Department of Mathematics, Southeast University, Nanjing, 210096, P. R. China

    Yang Ming  (杨明) & Shi Pei-hu  (石佩虎)

Authors
  1. Yang Ming  (杨明)
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  2. Shi Pei-hu  (石佩虎)
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Corresponding author

Correspondence to Yang Ming  (杨明).

Additional information

Communicated by LI Ji-bin

Project supported by the National Natural Science Foundation of China (No. 10471022), and the Science and Technology Major Project of the Ministry of Education of China (No. 104090)

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Yang, M., Shi, Ph. Bifurcation of non-negative solutions for an elliptic system. Appl. Math. Mech.-Engl. Ed. 29, 251–257 (2008). https://doi.org/10.1007/s10483-008-0212-7

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  • DOI: https://doi.org/10.1007/s10483-008-0212-7

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