Adaptive dynamics analysis of a predator–prey model with selective disturbance

作者:

Highlights:

• Based on predators capture rate functions, we construct an invasion fitness function.

• We use a size-selective disturbance function to study evolutionary dynamics.

• Evolutionarily stable coexistence and branching are explored by numerical simulations.

• Harvesting may drive evolution towards smaller value of phenotype trait.

• Large disturbance can go against evolutionary branching and promote evolutionary stability.

摘要

•Based on predators capture rate functions, we construct an invasion fitness function.•We use a size-selective disturbance function to study evolutionary dynamics.•Evolutionarily stable coexistence and branching are explored by numerical simulations.•Harvesting may drive evolution towards smaller value of phenotype trait.•Large disturbance can go against evolutionary branching and promote evolutionary stability.

论文关键词:Adaptive dynamics,Evolutionary branching,Predator–prey community,Selective disturbance,Stability

论文评审过程:Received 24 November 2014, Revised 20 March 2015, Accepted 2 June 2015, Available online 26 June 2015, Version of Record 26 June 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.06.020