Persistence in Forward Nonautonomous Competitive Systems of Parabolic Equations

In the present paper forward nonautonomous competitive systems of two parabolic second order partial differential equations are studied. The concept of forward uniform persistence for such systems is introduced. Sufficient conditions, expressed in terms of the principal spectrum, are given for those...

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Bibliographic Details
Published inJournal of dynamics and differential equations Vol. 23; no. 3; pp. 551 - 571
Main Authors Mierczyński, Janusz, Shen, Wenxian
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.09.2011
Subjects
Applications of Mathematics
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Forward uniform persistence
Secondary: 35B40
Principal spectrum
35P05
92D25
37B55
Forward nonautonomous competitive system of parabolic equation
Primary: 35K45
35K55
System of parabolic equations of Kolmogorov type
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Summary:In the present paper forward nonautonomous competitive systems of two parabolic second order partial differential equations are studied. The concept of forward uniform persistence for such systems is introduced. Sufficient conditions, expressed in terms of the principal spectrum, are given for those systems to be forward uniformly persistent.
ISSN:1040-7294
1572-9222
DOI:10.1007/s10884-010-9181-2