The dynamics of an impulsive predator–prey model with communicable disease in the prey species only

作者:

Highlights:

• We investigate an impulsive predator prey model with communicable disease.

• Susceptible pests will perish if impulsive period is smaller than a critical value.

• The smaller impulsive period is, the faster the susceptible pests go to extinction.

• Numerical simulations validate the obtained theoretical results.

摘要

•We investigate an impulsive predator prey model with communicable disease.•Susceptible pests will perish if impulsive period is smaller than a critical value.•The smaller impulsive period is, the faster the susceptible pests go to extinction.•Numerical simulations validate the obtained theoretical results.

论文关键词:Impulsive differential equations,Bifurcation,Global asymptotical stability,Floquet theorem,Pest control

论文评审过程:Received 30 November 2015, Revised 19 July 2016, Accepted 26 July 2016, Available online 4 August 2016, Version of Record 4 August 2016.

论文官网地址:https://doi.org/10.1016/j.amc.2016.07.042