DSpace Repository

A mathematical model of population dynamics revisited with fear factor, maturation delay, and spatial coefficients

Show simple item record

dc.contributor.author Gokce, Aytul
dc.date.accessioned 2024-03-15T11:13:03Z
dc.date.available 2024-03-15T11:13:03Z
dc.date.issued 2022
dc.identifier.citation Gökçe, A. (2022). A mathematical model of population dynamics revisited with fear factor, maturation delay, and spatial coefficients. Math. Meth. Appl. Sci., 45(17), 11828-11848. https://doi.org/10.1002/mma.8483 en_US
dc.identifier.issn 0170-4214
dc.identifier.issn 1099-1476
dc.identifier.uri http://dx.doi.org/10.1002/mma.8483
dc.identifier.uri https://www.webofscience.com/wos/woscc/full-record/WOS:000814055600001
dc.identifier.uri http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/4432
dc.description WoS Categories: Mathematics, Applied en_US
dc.description Web of Science Index: Science Citation Index Expanded (SCI-EXPANDED) en_US
dc.description Research Areas: Mathematics en_US
dc.description.abstract This study concentrates on the dynamics of a prey-predator model incorporating the fear effect in the birth and death rate of prey, whose physiological changes may give rise to undirect predation. In the presence and absence of time delay, single parameter numerical continuation with respect to two parameters, that are (i) fear level in the death rate of prey and (ii) conversion efficiency by which new predators are introduced through prey consumption in the system, is performed. Basic results on extinction and delay-driven Hopf bifurcation criteria are investigated. Then, the model is extended to involve the spatial dynamics with and without time delay. Theoretical results for orientation and stability of Hopf bifurcation in spatial system are provided by applying the normal form recipe and also the center manifold theory. Classical reaction-diffusion-type models, incorporating self-diffusion, can induce regular (periodic) and irregular (chaotic) oscillations in space. However, space periodic oscillations are not common in prey-predator interactions. Here, it is shown that the dynamics of only diffusion involved model is periodically arranged in space and time. However, introducing a very small value of time delay in predator maturation, spatial dynamics with chaos is initiated as a result of the joint effect of time delay and diffusion. This reassures that time delay has a crucial role in population dynamics incorporated with the role of indirect predation and gives some useful intuition into underlying species interactions. Theoretical results of the model in this paper are supported with numerical experiments. en_US
dc.language.iso eng en_US
dc.publisher WILEY-HOBOKEN en_US
dc.relation.isversionof 10.1002/mma.8483 en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject competition, fear factor, mathematical modeling, maturation delay, prey-predator model, spatial dynamics en_US
dc.subject PREDATOR-PREY MODEL, COMPETITION, CHAOS en_US
dc.title A mathematical model of population dynamics revisited with fear factor, maturation delay, and spatial coefficients en_US
dc.type article en_US
dc.relation.journal MATHEMATICAL METHODS IN THE APPLIED SCIENCES en_US
dc.contributor.department Ordu Üniversitesi en_US
dc.identifier.volume 45 en_US
dc.identifier.issue 17 en_US
dc.identifier.startpage 11828 en_US
dc.identifier.endpage 11848 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