Artykuł w czasopiśmie
Brak miniatury
Licencja
CC-BY-NC-NDCC-BY-NC-ND - Uznanie autorstwa - Użycie niekomercyjne - Bez utworów zależnych
 

Pursuit-evasion dynamics for Bazykin-type predator-prey model with indirect predator taxis

Uproszczony widok
cris.lastimport.scopus2024-02-12T19:48:20Z
dc.abstract.enWe study a pursuit-evasion diffusive predator-prey model which combines prey-taxis in predators with evasive defense strategy of prey being capable to move in the opposite direction to the gradient of a chemical signal secreted by the predators (indirect predator taxis). The kinetic part of the model extends the Rosenzweig MacArthur predator-prey model by assuming an intraspecific competition among predators, as in the classical Bazykin model. The prey-taxis takes into account density-dependent velocity suppression of predators while chasing the prey. The assumptions enable us to prove the existence of global-in-time classical solutions for space dimension n ≤3 which are not expected to exist for the Rosenzweig MacArthur model according to numerical simulations which depict a finite time blow-up of solutions for n =2.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorWrzosek, Dariusz
dc.contributor.authorMishra, Purnedu
dc.date.accessioned2024-01-25T18:42:41Z
dc.date.available2024-01-25T18:42:41Z
dc.date.issued2023
dc.description.accesstimeAT_PUBLICATION
dc.description.financeŚrodki finansowe przyznane na realizację projektu w zakresie badań naukowych lub prac rozwojowych
dc.description.versionFINAL_PUBLISHED
dc.description.volume361
dc.identifier.doi10.1016/J.JDE.2023.02.063
dc.identifier.issn0022-0396
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/117614
dc.identifier.weblinkhttps://api.elsevier.com/content/article/PII:S0022039623001456?httpAccept=text/xml
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofJournal of Differential Equations
dc.relation.pages391-416
dc.rightsCC-BY-NC-ND
dc.sciencecloudnosend
dc.titlePursuit-evasion dynamics for Bazykin-type predator-prey model with indirect predator taxis
dc.typeJournalArticle
dspace.entity.typePublication