Matches in SemOpenAlex for { <https://semopenalex.org/work/W4311185367> ?p ?o ?g. }
Showing items 1 to 82 of
82
with 100 items per page.
- W4311185367 endingPage "3078" @default.
- W4311185367 startingPage "3052" @default.
- W4311185367 abstract "We introduce a new method for proving convergence and rate of convergence of discrete Bass models on various networks to their respective compartmental Bass models, as the population size $ M $ becomes infinite. In this method, the master equations are reduced to a smaller system of equations, which is closed and exact. The reduced system is embedded into an infinite system, whose convergence to the infinite limit system is proved using standard ODE estimates.Finally, an exact ansatz reduces the infinite limit system to the compartmental model.Using this method, we show that when the network is complete and homogeneous, the discrete Bass model converges to the original 1969 compartmental Bass model, at the rate of $ 1/M $. When the network is circular, the compartmental limit is different, and the convergence rate is exponential in $ M $. For a heterogeneous network that consists of $ K $ homogeneous groups, the limit is given by a heterogeneous compartmental Bass model, and the convergence rate is $ 1/M $. Using this compartmental model, we show that when the heterogeneity in the external and internal influence parameters among the $ K $ groups is positively monotonically related, heterogeneity slows down the diffusion." @default.
- W4311185367 created "2022-12-24" @default.
- W4311185367 creator A5054550809 @default.
- W4311185367 creator A5061919723 @default.
- W4311185367 creator A5065691928 @default.
- W4311185367 date "2023-01-01" @default.
- W4311185367 modified "2023-09-26" @default.
- W4311185367 title "Compartmental limit of discrete Bass models on networks" @default.
- W4311185367 doi "https://doi.org/10.3934/dcdsb.2022203" @default.
- W4311185367 hasPublicationYear "2023" @default.
- W4311185367 type Work @default.
- W4311185367 citedByCount "0" @default.
- W4311185367 crossrefType "journal-article" @default.
- W4311185367 hasAuthorship W4311185367A5054550809 @default.
- W4311185367 hasAuthorship W4311185367A5061919723 @default.
- W4311185367 hasAuthorship W4311185367A5065691928 @default.
- W4311185367 hasBestOaLocation W43111853671 @default.
- W4311185367 hasConcept C114614502 @default.
- W4311185367 hasConcept C127162648 @default.
- W4311185367 hasConcept C130979935 @default.
- W4311185367 hasConcept C134306372 @default.
- W4311185367 hasConcept C144024400 @default.
- W4311185367 hasConcept C149923435 @default.
- W4311185367 hasConcept C151201525 @default.
- W4311185367 hasConcept C151376022 @default.
- W4311185367 hasConcept C2777182073 @default.
- W4311185367 hasConcept C28826006 @default.
- W4311185367 hasConcept C2908647359 @default.
- W4311185367 hasConcept C31258907 @default.
- W4311185367 hasConcept C33923547 @default.
- W4311185367 hasConcept C34862557 @default.
- W4311185367 hasConcept C37914503 @default.
- W4311185367 hasConcept C41008148 @default.
- W4311185367 hasConcept C505870484 @default.
- W4311185367 hasConcept C52079815 @default.
- W4311185367 hasConcept C57869625 @default.
- W4311185367 hasConcept C66882249 @default.
- W4311185367 hasConcept C72169020 @default.
- W4311185367 hasConcept C86803240 @default.
- W4311185367 hasConceptScore W4311185367C114614502 @default.
- W4311185367 hasConceptScore W4311185367C127162648 @default.
- W4311185367 hasConceptScore W4311185367C130979935 @default.
- W4311185367 hasConceptScore W4311185367C134306372 @default.
- W4311185367 hasConceptScore W4311185367C144024400 @default.
- W4311185367 hasConceptScore W4311185367C149923435 @default.
- W4311185367 hasConceptScore W4311185367C151201525 @default.
- W4311185367 hasConceptScore W4311185367C151376022 @default.
- W4311185367 hasConceptScore W4311185367C2777182073 @default.
- W4311185367 hasConceptScore W4311185367C28826006 @default.
- W4311185367 hasConceptScore W4311185367C2908647359 @default.
- W4311185367 hasConceptScore W4311185367C31258907 @default.
- W4311185367 hasConceptScore W4311185367C33923547 @default.
- W4311185367 hasConceptScore W4311185367C34862557 @default.
- W4311185367 hasConceptScore W4311185367C37914503 @default.
- W4311185367 hasConceptScore W4311185367C41008148 @default.
- W4311185367 hasConceptScore W4311185367C505870484 @default.
- W4311185367 hasConceptScore W4311185367C52079815 @default.
- W4311185367 hasConceptScore W4311185367C57869625 @default.
- W4311185367 hasConceptScore W4311185367C66882249 @default.
- W4311185367 hasConceptScore W4311185367C72169020 @default.
- W4311185367 hasConceptScore W4311185367C86803240 @default.
- W4311185367 hasIssue "5" @default.
- W4311185367 hasLocation W43111853671 @default.
- W4311185367 hasLocation W43111853672 @default.
- W4311185367 hasOpenAccess W4311185367 @default.
- W4311185367 hasPrimaryLocation W43111853671 @default.
- W4311185367 hasRelatedWork W1987457647 @default.
- W4311185367 hasRelatedWork W1993479422 @default.
- W4311185367 hasRelatedWork W1993834531 @default.
- W4311185367 hasRelatedWork W2014132890 @default.
- W4311185367 hasRelatedWork W2018742202 @default.
- W4311185367 hasRelatedWork W2048795484 @default.
- W4311185367 hasRelatedWork W2072249753 @default.
- W4311185367 hasRelatedWork W2246386677 @default.
- W4311185367 hasRelatedWork W4285121367 @default.
- W4311185367 hasRelatedWork W4311185367 @default.
- W4311185367 hasVolume "28" @default.
- W4311185367 isParatext "false" @default.
- W4311185367 isRetracted "false" @default.
- W4311185367 workType "article" @default.