FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1992844963> ?p ?o ?g. }

• W1992844963 endingPage "491" @default.
• W1992844963 startingPage "453" @default.
• W1992844963 abstract "We consider a competitive reaction-diffusion model of two species in a bounded domain which are identical in all aspects except for their birth rates, which differ by a function g. Under a fairly weak hypothesis, the semitrivial solutions always exist. Our analysis provides a description of the stability of these solutions as a function of the diffusion rate $mu$ and the difference between the birth rates g. In the case in which the magnitude of g is small we provide a fairly complete characterization of the stability in terms of the zeros of a single function. In particular, we are able to show that for any fixed number n, one can choose the difference function g from an open set of possibilities in such a way that the stability of the semitrivial solutions changes at least n times as the diffusion $mu$ is varied over $(0,infty)$. This result allows us to make conclusions concerning the existence of coexistence states. Furthermore, we show that under these hypotheses, coexistence states are unique if they exist. The biological implication is that there is a delicate balance between resource utilization and dispersal rates which can have a dramatic impact with regards to extinction. Furthermore, we show that there is no optimal form of resource utilization. To be more precise, given a fixed diffusion rate and a particular spatially dependent utilization of resources which are expressed in terms of the birth rate, there always exists a birth rate, which on average is the same but differs pointwise, which allows the corresponding species to invade." @default.
• W1992844963 created "2016-06-24" @default.
• W1992844963 creator A5044928606 @default.
• W1992844963 creator A5049298090 @default.
• W1992844963 creator A5075859177 @default.
• W1992844963 creator A5078740664 @default.
• W1992844963 date "2003-01-01" @default.
• W1992844963 modified "2023-10-01" @default.
• W1992844963 title "Competing Species near a Degenerate Limit" @default.
• W1992844963 cites W1555674425 @default.
• W1992844963 cites W1560060148 @default.
• W1992844963 cites W1866311589 @default.
• W1992844963 cites W1982357817 @default.
• W1992844963 cites W1985016450 @default.
• W1992844963 cites W1990636052 @default.
• W1992844963 cites W2007924835 @default.
• W1992844963 cites W2009217095 @default.
• W1992844963 cites W2031792309 @default.
• W1992844963 cites W2046904024 @default.
• W1992844963 cites W2066496593 @default.
• W1992844963 cites W2066653126 @default.
• W1992844963 cites W2110668450 @default.
• W1992844963 cites W4299150230 @default.
• W1992844963 cites W4302061159 @default.
• W1992844963 doi "https://doi.org/10.1137/s0036141002402189" @default.
• W1992844963 hasPublicationYear "2003" @default.
• W1992844963 type Work @default.
• W1992844963 sameAs 1992844963 @default.
• W1992844963 citedByCount "49" @default.
• W1992844963 countsByYear W19928449632012 @default.
• W1992844963 countsByYear W19928449632013 @default.
• W1992844963 countsByYear W19928449632014 @default.
• W1992844963 countsByYear W19928449632015 @default.
• W1992844963 countsByYear W19928449632016 @default.
• W1992844963 countsByYear W19928449632017 @default.
• W1992844963 countsByYear W19928449632019 @default.
• W1992844963 countsByYear W19928449632020 @default.
• W1992844963 countsByYear W19928449632021 @default.
• W1992844963 countsByYear W19928449632023 @default.
• W1992844963 crossrefType "journal-article" @default.
• W1992844963 hasAuthorship W1992844963A5044928606 @default.
• W1992844963 hasAuthorship W1992844963A5049298090 @default.
• W1992844963 hasAuthorship W1992844963A5075859177 @default.
• W1992844963 hasAuthorship W1992844963A5078740664 @default.
• W1992844963 hasConcept C101991246 @default.
• W1992844963 hasConcept C112972136 @default.
• W1992844963 hasConcept C119857082 @default.
• W1992844963 hasConcept C120665830 @default.
• W1992844963 hasConcept C121332964 @default.
• W1992844963 hasConcept C134306372 @default.
• W1992844963 hasConcept C14036430 @default.
• W1992844963 hasConcept C151201525 @default.
• W1992844963 hasConcept C2777984123 @default.
• W1992844963 hasConcept C28826006 @default.
• W1992844963 hasConcept C33923547 @default.
• W1992844963 hasConcept C34388435 @default.
• W1992844963 hasConcept C36503486 @default.
• W1992844963 hasConcept C41008148 @default.
• W1992844963 hasConcept C62520636 @default.
• W1992844963 hasConcept C69357855 @default.
• W1992844963 hasConcept C78458016 @default.
• W1992844963 hasConcept C86803240 @default.
• W1992844963 hasConceptScore W1992844963C101991246 @default.
• W1992844963 hasConceptScore W1992844963C112972136 @default.
• W1992844963 hasConceptScore W1992844963C119857082 @default.
• W1992844963 hasConceptScore W1992844963C120665830 @default.
• W1992844963 hasConceptScore W1992844963C121332964 @default.
• W1992844963 hasConceptScore W1992844963C134306372 @default.
• W1992844963 hasConceptScore W1992844963C14036430 @default.
• W1992844963 hasConceptScore W1992844963C151201525 @default.
• W1992844963 hasConceptScore W1992844963C2777984123 @default.
• W1992844963 hasConceptScore W1992844963C28826006 @default.
• W1992844963 hasConceptScore W1992844963C33923547 @default.
• W1992844963 hasConceptScore W1992844963C34388435 @default.
• W1992844963 hasConceptScore W1992844963C36503486 @default.
• W1992844963 hasConceptScore W1992844963C41008148 @default.
• W1992844963 hasConceptScore W1992844963C62520636 @default.
• W1992844963 hasConceptScore W1992844963C69357855 @default.
• W1992844963 hasConceptScore W1992844963C78458016 @default.
• W1992844963 hasConceptScore W1992844963C86803240 @default.
• W1992844963 hasIssue "2" @default.
• W1992844963 hasLocation W19928449631 @default.
• W1992844963 hasOpenAccess W1992844963 @default.
• W1992844963 hasPrimaryLocation W19928449631 @default.
• W1992844963 hasRelatedWork W1455884086 @default.
• W1992844963 hasRelatedWork W1966487117 @default.
• W1992844963 hasRelatedWork W1978188451 @default.
• W1992844963 hasRelatedWork W1992107226 @default.
• W1992844963 hasRelatedWork W2011570454 @default.
• W1992844963 hasRelatedWork W3121176436 @default.
• W1992844963 hasRelatedWork W4206911432 @default.
• W1992844963 hasRelatedWork W4287373462 @default.
• W1992844963 hasRelatedWork W4302364990 @default.
• W1992844963 hasRelatedWork W4317035819 @default.
• W1992844963 hasVolume "35" @default.
• W1992844963 isParatext "false" @default.
• W1992844963 isRetracted "false" @default.
• W1992844963 magId "1992844963" @default.

• next