A host–parasitoid system with predation-driven component Allee effects in host population

Yun Kang, Sourav Kumar Sasmal, Amiya Ranjan Bhowmick, Joydev Chattopadhyay

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

Allee effects and parasitism are common biological phenomena observed in nature, which are believed to have significant impacts in ecological conservation programmes. In this article, we investigate population dynamics of a discrete-time host–parasitoid system with component Allee effects induced by predation satiation in host to study the synergy effects of Allee effects and parasitism. Our model assumes that parasitism attacks the host after the density dependence of the host. The interactions of component Allee effects and parasitism can lead to extremely rich dynamics that include but are not limited to extinction of both species due to Allee effects at their low population density, multiple attractors, strange interior attractors and even crisis of strange attractor due to high parasitism. We perform local and global analysis to study the number of equilibria and their stability; and study the extinction and permanence of our host–parasitoid system. One of the most interesting results shows that the combination of strong Allee effects and parasitism may promote the coexistence of both host and parasite at their high population density. In addition, component Allee effects may destroy interior equilibrium under different values of parameters’ ranges.

Original languageEnglish (US)
Pages (from-to)213-232
Number of pages20
JournalJournal of Biological Dynamics
Volume9
DOIs
StatePublished - Jun 30 2015

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Allee effect
parasitism
predation
population density
extinction
conservation programs
satiety
density dependence
population dynamics
coexistence
parasite
parasites

Keywords

  • component Allee effects
  • discrete-time host–parasitoid system
  • extinction
  • permanence
  • strong Allee effects

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Ecology

Cite this

A host–parasitoid system with predation-driven component Allee effects in host population. / Kang, Yun; Sasmal, Sourav Kumar; Bhowmick, Amiya Ranjan; Chattopadhyay, Joydev.

In: Journal of Biological Dynamics, Vol. 9, 30.06.2015, p. 213-232.

Research output: Contribution to journalArticle

Kang, Yun ; Sasmal, Sourav Kumar ; Bhowmick, Amiya Ranjan ; Chattopadhyay, Joydev. / A host–parasitoid system with predation-driven component Allee effects in host population. In: Journal of Biological Dynamics. 2015 ; Vol. 9. pp. 213-232.
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