Spatial population dynamics in a producer-scrounger model

George Cosner, Andrew L. Nevai

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The spatial population dynamics of an ecological system involving producers and scroungers is studied using a reaction-diffusion model. The two populations move randomly and increase logistically, with birth rates determined by the amount of resource acquired. Producers can obtain the resource directly from the environment, but must surrender a proportion of their discoveries to nearby scroungers through a process known as scramble kleptoparasitism. The proportion of resources stolen by a scrounger from nearby producers decreases as the local scrounger density increases. Parameter combinations which allow producers and scroungers to persist either alone or together are distinguished from those in which they cannot. Producer persistence depends in general on the distribution of resources and producer movement, whereas scrounger persistence depends on its ability to invade when producers are at steady-state. It is found that (i) both species can persist when the habitat has high productivity, (ii) neither species can persist when the habitat has low productivity, and (iii) slower dispersal of both the producer and scrounger is favored when the habitat has intermediate productivity.

Original languageEnglish (US)
Pages (from-to)1591-1607
Number of pages17
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume20
Issue number6
DOIs
StatePublished - Aug 1 2015

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Population dynamics
Population Dynamics
Productivity
Resources
Persistence
Proportion
Reaction-diffusion Model
Model
Decrease

Keywords

  • Population dynamics
  • Producer-scrounger
  • Reaction-diffusion
  • Scramble kleptoparasitism
  • Spatial ecology

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

Cite this

Spatial population dynamics in a producer-scrounger model. / Cosner, George; Nevai, Andrew L.

In: Discrete and Continuous Dynamical Systems - Series B, Vol. 20, No. 6, 01.08.2015, p. 1591-1607.

Research output: Contribution to journalArticle

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