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