NONTRIVIAL SOLUTIONS OF COMPETITIVE-DIFFUSIVE SYSTEMS WITH SMALL DIFFUSION

数学物理学报(英文版) ›› 1995, Vol. 15 ›› Issue (3): 295-302.

NONTRIVIAL SOLUTIONS OF COMPETITIVE-DIFFUSIVE SYSTEMS WITH SMALL DIFFUSION

李大华

Dept. of Math., Huazhong Univ. of Sci. & Tech., Wuhan 430074, China

收稿日期:1993-06-17 修回日期:1994-04-12 出版日期:1995-09-25 发布日期:1995-09-25
基金资助:
The project supported by National Natural Science Foundation of China.

NONTRIVIAL SOLUTIONS OF COMPETITIVE-DIFFUSIVE SYSTEMS WITH SMALL DIFFUSION

Li Dahua

Dept. of Math., Huazhong Univ. of Sci. & Tech., Wuhan 430074, China

Received:1993-06-17 Revised:1994-04-12 Online:1995-09-25 Published:1995-09-25
Supported by:
The project supported by National Natural Science Foundation of China.

摘要/Abstract

摘要： We discuss nontrivial steady-state solutions of a competitive-diffusive systems with small diffusion in which two interacting species u and v inhibit the same bounded region. By using methods of bifurcation theory and indefinite weight function,we prove the existence and uniqueness of solutions which are positive in both u and v and asymptotically stable corresponding to the case where the populations can co-exist.

关键词: competitive-diffusive system, bifurcation, indefinite weight function, coexistence

Abstract: We discuss nontrivial steady-state solutions of a competitive-diffusive systems with small diffusion in which two interacting species u and v inhibit the same bounded region. By using methods of bifurcation theory and indefinite weight function,we prove the existence and uniqueness of solutions which are positive in both u and v and asymptotically stable corresponding to the case where the populations can co-exist.

Key words: competitive-diffusive system, bifurcation, indefinite weight function, coexistence

李大华. NONTRIVIAL SOLUTIONS OF COMPETITIVE-DIFFUSIVE SYSTEMS WITH SMALL DIFFUSION[J]. 数学物理学报(英文版), 1995, 15(3): 295-302.

Li Dahua. NONTRIVIAL SOLUTIONS OF COMPETITIVE-DIFFUSIVE SYSTEMS WITH SMALL DIFFUSION[J]. Acta mathematica scientia,Series B, 1995, 15(3): 295-302.

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NONTRIVIAL SOLUTIONS OF COMPETITIVE-DIFFUSIVE SYSTEMS WITH SMALL DIFFUSION

NONTRIVIAL SOLUTIONS OF COMPETITIVE-DIFFUSIVE SYSTEMS WITH SMALL DIFFUSION

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