DSpace Repository

Global analysis of a delayed stage structure prey–predator model with Crowley–Martin type functional response

Show simple item record

dc.contributor.author Dubey, Balram
dc.date.accessioned 2023-07-24T08:59:49Z
dc.date.available 2023-07-24T08:59:49Z
dc.date.issued 2019-08
dc.identifier.uri https://www.sciencedirect.com/science/article/pii/S037847541930028X
dc.identifier.uri http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/10991
dc.description.abstract A stage structure prey–predator model that consists of a system of three nonlinear ordinary differential equations in the presence of discrete time delay is proposed and analysed in this paper. The prey population is divided into two categories: immature and mature prey. The predator population depends on mature prey only and that followed by Crowley–Martin type functional response. We analyse positivity, boundedness and existence of equilibrium points. The local and global stability behaviour of the delayed and non-delayed system are also analysed. Considering delay as a bifurcation parameter, the Hopf-bifurcation is also examined for this system. Then we discuss the stability and direction of Hopf-bifurcation using Normal form theory and Centre manifold theory. Numerical simulation is carried out to verify our analytical findings. We observe that, for a set of values of parameters, the bifurcated periodic solution is supercritical, stable with decreasing period and as the time delay increases, interior equilibrium point disappears. Model of this type may be considered to save the immature prey from the predator population and to maintain the prey–predator relation. en_US
dc.language.iso en en_US
dc.publisher Elsevier en_US
dc.subject Mathematics en_US
dc.subject Mature and immature prey en_US
dc.subject Delay en_US
dc.subject Permanence en_US
dc.subject Hopf-bifurcation en_US
dc.title Global analysis of a delayed stage structure prey–predator model with Crowley–Martin type functional response en_US
dc.type Article en_US


Files in this item

Files Size Format View

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record

Search DSpace


Advanced Search

Browse

My Account