Multispecies Lotka–Volterra competition–diffusion system with forcing terms depending on the variables

In this paper, we study the diffusive Lotka–Volterra system containing the variable coefficients. In the Sobolev‐space settings, we achieve the well‐posedness properties (existence and regularity) and large‐time asymptotics (continuation and global existence or finite‐time blowup) of the solutions i...

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Bibliographic Details
Published inMathematical methods in the applied sciences Vol. 47; no. 18; pp. 14767 - 14795
Main Author Au, Vo Van
Format Journal Article
LanguageEnglish
Published Freiburg Wiley Subscription Services, Inc 01.12.2024
Subjects
finite‐time blowup
global existence
Lotka–Volterra system
Sobolev space
space–time‐forcing terms
well‐posedness
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Summary:In this paper, we study the diffusive Lotka–Volterra system containing the variable coefficients. In the Sobolev‐space settings, we achieve the well‐posedness properties (existence and regularity) and large‐time asymptotics (continuation and global existence or finite‐time blowup) of the solutions in the Sobolev spaces and time‐weighted Sobolev spaces.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.10302