Show simple item record

dc.contributor.authorLi, Shanbing ( )
dc.contributor.authorXiao, Yanni ( )
dc.contributor.authorDong, Yaying ( )
dc.date.accessioned2021-08-27T19:13:42Z
dc.date.available2021-08-27T19:13:42Z
dc.date.issued2021-08-23
dc.identifier.citationLi, S., Xiao, Y., & Dong, Y. (2021). Diffusive predator-prey models with fear effect in spatially heterogeneous environment. Electronic Journal of Differential Equations, 2021(70), pp. 1-31.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/14480
dc.description.abstractThis article concerns diffusive predator-prey models incorporating the cost of fear and environmental heterogeneity. Under homogeneous Neumann boundary conditions, we establish the uniform boundedness of global solutions and global stability of the trivial and semi-trivial solutions for the parabolic system. For the corresponding steady-state problem, we obtain sufficient conditions for the existence of positive steady states, and then study the effects of functional responses and the cost of fear on the existence, stability and number of positive steady states. We also discuss the effects of spatial heterogeneity and spatial diffusion on the dynamic behavior and establish asymptotic profiles of positive steady states as the diffusion rate of prey or predator individuals approaches zero or infinity. Our theoretical results suggest that fear plays a very important role in determining the dynamic behavior of the models, and it is necessary to revisit existing predator-prey models by incorporating the cost of fear.en_US
dc.formatText
dc.format.extent31 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherTexas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2021, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectPredator-prey modelen_US
dc.subjectFear costen_US
dc.subjectSpatial diffusionen_US
dc.subjectEnvironmental heterogeneityen_US
dc.titleDiffusive predator-prey models with fear effect in spatially heterogeneous environmenten_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.


Download

Thumbnail

This item appears in the following Collection(s)

Show simple item record