Matches in SemOpenAlex for { <https://semopenalex.org/work/W2560747287> ?p ?o ?g. }
Showing items 1 to 90 of
90
with 100 items per page.
- W2560747287 endingPage "335" @default.
- W2560747287 startingPage "322" @default.
- W2560747287 abstract "Models for the transmission dynamics of mycobacterium tuberculosis (TB) that incorporate exogenous re-infection are known to induce the phenomenon of backward bifurcation, a dynamic phenomenon associated with the existence of two stable attractors when the reproduction number of the model is less than unity. This study shows, by way of a counter example, that exogenous re-infection does not always cause backward bifurcation in TB transmission dynamics. In particular, it is shown that it is the transmission ability of the re-infected individuals, and not just the re-infection process, that causes the backward bifurcation phenomenon. When re-infected individuals do not transmit infection, the disease-free equilibrium of the model is shown to be globally-asymptotically stable (GAS) when the associated reproduction number is less than unity. The model has a unique endemic equilibrium whenever the reproduction threshold exceeds unity. It is shown, using a Lyapunov function, that the unique endemic equilibrium is GAS for the special case with no disease-induced mortality and no transmission by re-infected individuals. It is further shown that even if re-infected individuals do transmit infection, backward bifurcation only occurs if their transmissibility exceeds a certain threshold. Sensitivity analyses, with respect to the derived backward bifurcation threshold, show that the phenomenon of backward bifurcation is more likely to occur if the rates of re-infection and transmissibility of re-infected individuals are sufficiently high. Furthermore, it is likely to occur if the fraction of slow progressors (to active TB) is increased or if the rates of treatment (of symptomatic cases) and disease-induced mortality are increased. On the other hand, backward bifurcation is less likely to occur for increasing rates of endogenous re-activation of latent TB cases." @default.
- W2560747287 created "2016-12-16" @default.
- W2560747287 creator A5037742449 @default.
- W2560747287 creator A5039105083 @default.
- W2560747287 creator A5040904022 @default.
- W2560747287 creator A5062572620 @default.
- W2560747287 date "2017-04-01" @default.
- W2560747287 modified "2023-10-03" @default.
- W2560747287 title "Exogenous re-infection does not always cause backward bifurcation in TB transmission dynamics" @default.
- W2560747287 cites W2003580285 @default.
- W2560747287 cites W2010825494 @default.
- W2560747287 cites W2041572706 @default.
- W2560747287 cites W2041902182 @default.
- W2560747287 cites W2067900965 @default.
- W2560747287 cites W2080648186 @default.
- W2560747287 cites W2085451305 @default.
- W2560747287 cites W2085788930 @default.
- W2560747287 cites W2088104821 @default.
- W2560747287 cites W2112680994 @default.
- W2560747287 cites W2126776457 @default.
- W2560747287 cites W2161728228 @default.
- W2560747287 cites W2168159068 @default.
- W2560747287 cites W2319899473 @default.
- W2560747287 doi "https://doi.org/10.1016/j.amc.2016.11.009" @default.
- W2560747287 hasPublicationYear "2017" @default.
- W2560747287 type Work @default.
- W2560747287 sameAs 2560747287 @default.
- W2560747287 citedByCount "1" @default.
- W2560747287 countsByYear W25607472872019 @default.
- W2560747287 crossrefType "journal-article" @default.
- W2560747287 hasAuthorship W2560747287A5037742449 @default.
- W2560747287 hasAuthorship W2560747287A5039105083 @default.
- W2560747287 hasAuthorship W2560747287A5040904022 @default.
- W2560747287 hasAuthorship W2560747287A5062572620 @default.
- W2560747287 hasConcept C101225446 @default.
- W2560747287 hasConcept C121332964 @default.
- W2560747287 hasConcept C134306372 @default.
- W2560747287 hasConcept C144024400 @default.
- W2560747287 hasConcept C149923435 @default.
- W2560747287 hasConcept C158622935 @default.
- W2560747287 hasConcept C164380108 @default.
- W2560747287 hasConcept C16683452 @default.
- W2560747287 hasConcept C198394728 @default.
- W2560747287 hasConcept C204264503 @default.
- W2560747287 hasConcept C2781349735 @default.
- W2560747287 hasConcept C2908647359 @default.
- W2560747287 hasConcept C33923547 @default.
- W2560747287 hasConcept C41008148 @default.
- W2560747287 hasConcept C45799244 @default.
- W2560747287 hasConcept C62520636 @default.
- W2560747287 hasConcept C761482 @default.
- W2560747287 hasConcept C76155785 @default.
- W2560747287 hasConceptScore W2560747287C101225446 @default.
- W2560747287 hasConceptScore W2560747287C121332964 @default.
- W2560747287 hasConceptScore W2560747287C134306372 @default.
- W2560747287 hasConceptScore W2560747287C144024400 @default.
- W2560747287 hasConceptScore W2560747287C149923435 @default.
- W2560747287 hasConceptScore W2560747287C158622935 @default.
- W2560747287 hasConceptScore W2560747287C164380108 @default.
- W2560747287 hasConceptScore W2560747287C16683452 @default.
- W2560747287 hasConceptScore W2560747287C198394728 @default.
- W2560747287 hasConceptScore W2560747287C204264503 @default.
- W2560747287 hasConceptScore W2560747287C2781349735 @default.
- W2560747287 hasConceptScore W2560747287C2908647359 @default.
- W2560747287 hasConceptScore W2560747287C33923547 @default.
- W2560747287 hasConceptScore W2560747287C41008148 @default.
- W2560747287 hasConceptScore W2560747287C45799244 @default.
- W2560747287 hasConceptScore W2560747287C62520636 @default.
- W2560747287 hasConceptScore W2560747287C761482 @default.
- W2560747287 hasConceptScore W2560747287C76155785 @default.
- W2560747287 hasLocation W25607472871 @default.
- W2560747287 hasOpenAccess W2560747287 @default.
- W2560747287 hasPrimaryLocation W25607472871 @default.
- W2560747287 hasRelatedWork W1507092445 @default.
- W2560747287 hasRelatedWork W1992237866 @default.
- W2560747287 hasRelatedWork W2184667278 @default.
- W2560747287 hasRelatedWork W2194547166 @default.
- W2560747287 hasRelatedWork W2998953329 @default.
- W2560747287 hasRelatedWork W3040090370 @default.
- W2560747287 hasRelatedWork W3113043065 @default.
- W2560747287 hasRelatedWork W3169069926 @default.
- W2560747287 hasRelatedWork W3185159166 @default.
- W2560747287 hasRelatedWork W3042827900 @default.
- W2560747287 hasVolume "298" @default.
- W2560747287 isParatext "false" @default.
- W2560747287 isRetracted "false" @default.
- W2560747287 magId "2560747287" @default.
- W2560747287 workType "article" @default.