Species decline and extinction: synergy of infectious disease and Allee effect?

Horst Thieme, Thanate Dhirasakdanon, Zhun Han, Roy Trevino

Research output: Contribution to journalArticle

46 Citations (Scopus)

Abstract

Host-parasite models with density-dependent (mass action) incidence and a critical Allee effect in host growth can explain both species decline and disappearance (extinction). The behaviour of the model is consistent with both the novel pathogen hypothesis and the endemic pathogen hypothesis for chytridiomycosis. Mathematically, the transition from decline to disappearance is mediated by a Hopf bifurcation and is marked by the occurrence of a heteroclinic orbit. The Hopf bifurcation is supercritical if intra-specific host competition increases with host density at a large power and subcritical if the power is small. In the supercritical case, host-parasite coexistence can be at equilibrium or periodic; in the subcritical case it is only at equilibrium.

Original languageEnglish (US)
Pages (from-to)305-323
Number of pages19
JournalJournal of Biological Dynamics
Volume3
Issue number2-3
StatePublished - Mar 2009

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Allee effect
infectious disease
infectious diseases
extinction
bifurcation
parasite
pathogen
parasites
pathogens
orbits
coexistence
incidence

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Ecology

Cite this

Species decline and extinction : synergy of infectious disease and Allee effect? / Thieme, Horst; Dhirasakdanon, Thanate; Han, Zhun; Trevino, Roy.

In: Journal of Biological Dynamics, Vol. 3, No. 2-3, 03.2009, p. 305-323.

Research output: Contribution to journalArticle

Thieme, H, Dhirasakdanon, T, Han, Z & Trevino, R 2009, 'Species decline and extinction: synergy of infectious disease and Allee effect?', Journal of Biological Dynamics, vol. 3, no. 2-3, pp. 305-323.
Thieme, Horst ; Dhirasakdanon, Thanate ; Han, Zhun ; Trevino, Roy. / Species decline and extinction : synergy of infectious disease and Allee effect?. In: Journal of Biological Dynamics. 2009 ; Vol. 3, No. 2-3. pp. 305-323.
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