Coexistence and Asymptotic Periodicity in a Competition Model of Plankton Allelopathy |
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Authors: | Canrong Tian |
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Institution: | 1.Basic Department,Yancheng Institute of Technology,Yancheng,China |
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Abstract: | In this paper, the two species Lotka-Volterra competition model of plankton allelopathy from aquatic ecology is discussed.
The authors study the existence of solutions to a strongly coupled elliptic system with homogeneous Dirichlet boundary conditions
and consider the existence, stability and global attractivity of time-periodic solutions for a coupled parabolic equations
in a bounded domain. Their results show that this model possesses at least one coexistence state if cross-diffusions and self-diffusions
are weak. The existence of the positive T-periodic solutions and the global stability as well as the global attractivity for
the parabolic system are also given. |
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Keywords: | |
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