Invasion sequence affects predator–prey dynamics in a multi-species interaction

Nature ◽  
2000 ◽  
Vol 405 (6785) ◽  
pp. 448-450 ◽  
Author(s):  
Steven M. Sait ◽  
Wei-Chung Liu ◽  
David J. Thompson ◽  
H. Charles J. Godfray ◽  
Michael Begon
Keyword(s):  
Species Interaction ◽  
Predator Prey ◽  
Invasion Sequence

scholarly journals A simple mathematical model for Batesian mimicry

2005 ◽  
Vol 2005 (1) ◽  
pp. 87-92 ◽  
Author(s):  
Terence R. Blows ◽  
Barry J. Wimmer
Keyword(s):  
Mathematical Model ◽  
Full Range ◽  
Logistic Map ◽  
Period Doubling ◽  
Species Interaction ◽  
Batesian Mimicry ◽  
Simple Mathematical Model ◽  
Predator Prey ◽  
The Mathematical Model ◽  
Period Doubling Bifurcations

A simple mathematical model is presented for Batesian mimicry, which occurs when a harmless species (mimic) is morphologically similar to another species (model) that is noxious or distasteful to predators, thus gaining a measure of protection. Although mathematical models for species interaction, such as predator-prey or competition, are well known, there is no similar literature on mimicry. The mathematical model developed here is a one-dimensional iterated map which has the full range of dynamic behavior present in the logistic map, depending on the values of its parameters. The dynamics ranges from a stable fixed point and stable cycles through chaotic dynamics achieved through a sequence of period doubling bifurcations.

Cognition in predator-prey systems: Searching image and prey polymorphism

1997 ◽  
Author(s):  
Alan B. Bond ◽  
Alan C. Kamil ◽  
Christopher Cink
Keyword(s):  
Predator Prey
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