A note on the global existence and boundedness of an N-dimensional parabolic-elliptic predator-prey system with indirect pursuit-evasion interaction

We investigate the two-species chemotaxis predator-prey system given by the following system: in a bounded domain with smooth boundary, where parameters , and . Under appropriate conditions, utilizing suitable estimates, we demonstrate that if , then the system admits a unique, uniformly bounded glo...

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Bibliographic Details
Published inOpen mathematics (Warsaw, Poland) Vol. 23; no. 1; pp. 2402 - 2435
Main Author Liu, Ling
Format Journal Article
LanguageEnglish
Published Warsaw De Gruyter 04.02.2025
De Gruyter Poland
Subjects
35K20
35K55
92C17
boundedness
chemotaxis
global existence
Predators
Pursuit-evasion
Smooth boundaries
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ISSN2391-5455
2391-5455
DOI10.1515/math-2024-0122

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Summary:We investigate the two-species chemotaxis predator-prey system given by the following system: in a bounded domain with smooth boundary, where parameters , and . Under appropriate conditions, utilizing suitable estimates, we demonstrate that if , then the system admits a unique, uniformly bounded global classical solution. This finding extends the results of several previous studies.
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ISSN:2391-5455
2391-5455
DOI:10.1515/math-2024-0122