An impulsive ratio-dependent predator–prey system with diffusion

We investigate the predator–prey system with diffusion, when biological and environmental parameters are assumed to change in periodical manner over time. The system is affected by impulses which can be considered as a control. Conditions for the permanence of the predator–prey system and for the ex...

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Bibliographic Details
Published inNonlinear analysis: real world applications Vol. 7; no. 5; pp. 1255 - 1267
Main Authors Akhmet, M.U., Beklioglu, M., Ergenc, T., Tkachenko, V.I.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.12.2006
Subjects
Functional response
Periodic solutions
Permanence
Predator-prey system with diffusion
Stability
Predator-prey system with diffusion
Stability
Functional response
Permanence
Periodic solutions
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Summary:We investigate the predator–prey system with diffusion, when biological and environmental parameters are assumed to change in periodical manner over time. The system is affected by impulses which can be considered as a control. Conditions for the permanence of the predator–prey system and for the existence of a unique globally stable periodic solutions are obtained.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2005.11.007