Matches in SemOpenAlex for { <https://semopenalex.org/work/W2048036304> ?p ?o ?g. }
- W2048036304 endingPage "368" @default.
- W2048036304 startingPage "347" @default.
- W2048036304 abstract "This paper presents qualitative and bifurcation analysis near the degenerate equilibrium in a two-stage cancer model of interactions between lymphocyte cells and solid tumor and contributes to a better understanding of the dynamics of tumor and immune system interactions. We first establish the existence of Hopf bifurcation in the 3-dimensional cancer model and rule out the occurrence of the degenerate Hopf bifurcation. Then a general Hopf bifurcation formula is applied to determine the stability of the limit cycle bifurcated from the interior equilibrium. Sufficient conditions on the existence of stable periodic oscillations of tumor levels are obtained for the two-stage cancer model. Numerical simulations are presented to illustrate the existence of stable periodic oscillations with reasonable parameters and demonstrate the phenomenon of long-term tumor relapse in the model." @default.
- W2048036304 created "2016-06-24" @default.
- W2048036304 creator A5006012404 @default.
- W2048036304 creator A5079872641 @default.
- W2048036304 creator A5091820514 @default.
- W2048036304 date "2012-01-01" @default.
- W2048036304 modified "2023-10-18" @default.
- W2048036304 title "Stable periodic oscillations in a two-stage cancer model of tumor and immune system interactions" @default.
- W2048036304 cites W1598843567 @default.
- W2048036304 cites W1690786280 @default.
- W2048036304 cites W1979575182 @default.
- W2048036304 cites W1982756683 @default.
- W2048036304 cites W2000766165 @default.
- W2048036304 cites W2009798055 @default.
- W2048036304 cites W2021396682 @default.
- W2048036304 cites W2038132127 @default.
- W2048036304 cites W2038220607 @default.
- W2048036304 cites W2040837794 @default.
- W2048036304 cites W2048114785 @default.
- W2048036304 cites W2061239988 @default.
- W2048036304 cites W2073679760 @default.
- W2048036304 cites W2073688400 @default.
- W2048036304 cites W2074662196 @default.
- W2048036304 cites W2074879692 @default.
- W2048036304 cites W2081613860 @default.
- W2048036304 cites W2086086603 @default.
- W2048036304 cites W2095130455 @default.
- W2048036304 cites W2107760337 @default.
- W2048036304 cites W2158102494 @default.
- W2048036304 cites W2169169493 @default.
- W2048036304 cites W4244005716 @default.
- W2048036304 doi "https://doi.org/10.3934/mbe.2012.9.347" @default.
- W2048036304 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/22901068" @default.
- W2048036304 hasPublicationYear "2012" @default.
- W2048036304 type Work @default.
- W2048036304 sameAs 2048036304 @default.
- W2048036304 citedByCount "20" @default.
- W2048036304 countsByYear W20480363042013 @default.
- W2048036304 countsByYear W20480363042014 @default.
- W2048036304 countsByYear W20480363042015 @default.
- W2048036304 countsByYear W20480363042018 @default.
- W2048036304 countsByYear W20480363042019 @default.
- W2048036304 countsByYear W20480363042020 @default.
- W2048036304 countsByYear W20480363042021 @default.
- W2048036304 countsByYear W20480363042022 @default.
- W2048036304 countsByYear W20480363042023 @default.
- W2048036304 crossrefType "journal-article" @default.
- W2048036304 hasAuthorship W2048036304A5006012404 @default.
- W2048036304 hasAuthorship W2048036304A5079872641 @default.
- W2048036304 hasAuthorship W2048036304A5091820514 @default.
- W2048036304 hasBestOaLocation W20480363041 @default.
- W2048036304 hasConcept C101225446 @default.
- W2048036304 hasConcept C121332964 @default.
- W2048036304 hasConcept C121864883 @default.
- W2048036304 hasConcept C134306372 @default.
- W2048036304 hasConcept C146357865 @default.
- W2048036304 hasConcept C151201525 @default.
- W2048036304 hasConcept C151730666 @default.
- W2048036304 hasConcept C158622935 @default.
- W2048036304 hasConcept C172435161 @default.
- W2048036304 hasConcept C22257346 @default.
- W2048036304 hasConcept C2781349735 @default.
- W2048036304 hasConcept C33923547 @default.
- W2048036304 hasConcept C55610538 @default.
- W2048036304 hasConcept C62520636 @default.
- W2048036304 hasConcept C72319582 @default.
- W2048036304 hasConcept C85075877 @default.
- W2048036304 hasConcept C86803240 @default.
- W2048036304 hasConcept C93357160 @default.
- W2048036304 hasConceptScore W2048036304C101225446 @default.
- W2048036304 hasConceptScore W2048036304C121332964 @default.
- W2048036304 hasConceptScore W2048036304C121864883 @default.
- W2048036304 hasConceptScore W2048036304C134306372 @default.
- W2048036304 hasConceptScore W2048036304C146357865 @default.
- W2048036304 hasConceptScore W2048036304C151201525 @default.
- W2048036304 hasConceptScore W2048036304C151730666 @default.
- W2048036304 hasConceptScore W2048036304C158622935 @default.
- W2048036304 hasConceptScore W2048036304C172435161 @default.
- W2048036304 hasConceptScore W2048036304C22257346 @default.
- W2048036304 hasConceptScore W2048036304C2781349735 @default.
- W2048036304 hasConceptScore W2048036304C33923547 @default.
- W2048036304 hasConceptScore W2048036304C55610538 @default.
- W2048036304 hasConceptScore W2048036304C62520636 @default.
- W2048036304 hasConceptScore W2048036304C72319582 @default.
- W2048036304 hasConceptScore W2048036304C85075877 @default.
- W2048036304 hasConceptScore W2048036304C86803240 @default.
- W2048036304 hasConceptScore W2048036304C93357160 @default.
- W2048036304 hasIssue "2" @default.
- W2048036304 hasLocation W20480363041 @default.
- W2048036304 hasLocation W20480363042 @default.
- W2048036304 hasOpenAccess W2048036304 @default.
- W2048036304 hasPrimaryLocation W20480363041 @default.
- W2048036304 hasRelatedWork W1816790019 @default.
- W2048036304 hasRelatedWork W1880931252 @default.
- W2048036304 hasRelatedWork W1968811312 @default.
- W2048036304 hasRelatedWork W1993945523 @default.
- W2048036304 hasRelatedWork W2084499748 @default.
- W2048036304 hasRelatedWork W2151569234 @default.