On positive periodic solutions of the time–space periodic Lotka–Volterra cooperating system in multi-dimensional media

This work is devoted to the study of the time–space periodic reaction–diffusion–advection Lotka–Volterra cooperating system in multi-dimensional media. By using the method of sub-super solutions and its associated iterations, we prove the existence and uniqueness of the positive periodic solution un...

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Bibliographic Details
Published inNonlinear analysis: real world applications Vol. 72; p. 103866
Main Author Du, Li-Jun
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.08.2023
Subjects
Cooperating system
Existence
Positive periodic solution
Stability
Uniqueness
Positive periodic solution
Stability
Cooperating system
Existence
Uniqueness
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Summary:This work is devoted to the study of the time–space periodic reaction–diffusion–advection Lotka–Volterra cooperating system in multi-dimensional media. By using the method of sub-super solutions and its associated iterations, we prove the existence and uniqueness of the positive periodic solution under appropriate conditions. Finally, we are able to derive the asymptotic behavior of the solutions to the associated Cauchy problem.
ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2023.103866