An impulsive predator-prey model with disease in the prey for integrated pest management

作者：Shi Ruiqing^*; Chen Lansun

来源：Communications in Nonlinear Science & Numerical Simulation, 2010, 15(2): 421-429.

DOI：10.1016/j.cnsns.2009.04.001

• Predator-prey model
• Impulsive
• Permanent
• Susceptible pest-eradication periodic solution

In this paper, an impulsive predator-prey model with disease in the prey is investigated for the purpose of integrated pest management. in the first part of the main results, we get the sufficient condition for the global stability of the susceptible pest-eradication periodic solution. This means if the release amount of infective prey and predator satisfy the condition, then the pest will be doomed. In the second part of the main results, we also get the sufficient condition for the permanence of the system. This means if the release amount of infective prey and predator satisfy the condition, then the prey and the predator will coexist. In the last section, we interpret our mathematical results. We also point Out some possible future work.

• 出版日期2010-2
• 单位大连理工大学