Existence and global attractivity of positive periodic solutions for a predator-prey model with Crowley-Martin functional response

Simple item page
dc.contributor.authorLi, Xiaowan
dc.contributor.authorLin, Xiaojie
dc.contributor.authorLiu, Jiang
dc.date.accessioned2022-03-10T17:54:06Z
dc.date.available2022-03-10T17:54:06Z
dc.date.issued2018-11-26
dc.description.abstractIn this article, we consider a predator-prey system with mutual interference and Crowley-Martin functional response. We obtain positive solutions for the system by using the comparison principle. The existence of periodic solutions is established by applying coincidence degree theory. In addition, we obtain that the system has only one positive periodic solution which is a global attractor by constructing a proper Lyapunov function.
dc.description.departmentMathematics
dc.formatText
dc.format.extent17 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationLi, X., Lin, X., & Liu, J. (2018). Existence and global attractivity of positive periodic solutions for a predator-prey model with Crowley-Martin functional response. <i>Electronic Journal of Differential Equations, 2018</i>(191), pp. 1-17.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15487
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectPredator-prey model
dc.subjectCrowley-Martin functional response
dc.subjectPeriodic solutions
dc.subjectPermanence
dc.subjectGlobal attractors
dc.subjectLyapunov function
dc.titleExistence and global attractivity of positive periodic solutions for a predator-prey model with Crowley-Martin functional responseen_US
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
li.pdf
Size:
261.27 KB
Format:
Adobe Portable Document Format
Description:
Download

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
2.54 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Electronic Journal of Differential Equations