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 language | English (US) |
|---|---|
| Pages (from-to) | 1591-1607 |
| Number of pages | 17 |
| Journal | Discrete and Continuous Dynamical Systems - Series B |
| Volume | 20 |
| Issue number | 6 |
| DOIs | |
| State | Published - Aug 1 2015 |
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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 journal › Article
}
TY - JOUR
T1 - Spatial population dynamics in a producer-scrounger model
AU - Cosner, George
AU - Nevai, Andrew L.
PY - 2015/8/1
Y1 - 2015/8/1
N2 - 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.
AB - 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.
KW - Population dynamics
KW - Producer-scrounger
KW - Reaction-diffusion
KW - Scramble kleptoparasitism
KW - Spatial ecology
UR - http://www.scopus.com/inward/record.url?scp=84930412328&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84930412328&partnerID=8YFLogxK
U2 - 10.3934/dcdsb.2015.20.1591
DO - 10.3934/dcdsb.2015.20.1591
M3 - Article
AN - SCOPUS:84930412328
VL - 20
SP - 1591
EP - 1607
JO - Discrete and Continuous Dynamical Systems - Series B
JF - Discrete and Continuous Dynamical Systems - Series B
SN - 1531-3492
IS - 6
ER -