An impulsive predator-prey model with communicable disease in the prey species only

作者：Liu, Maoxing; Jin, Zhen; Haque, Mainul^*

来源：Nonlinear Analysis: Real World Applications , 2009, 10(5): 3098-3111.

DOI：10.1016/j.nonrwa.2008.10.010

• Eco-epidemiology
• Susceptible prey
• Infected prey
• Predator
• Impulsive effect
• Bifurcation
• Coincidence degree

A system of impulsive differential equations describing predator-prey dynamics with impulsive effect is proposed and analyzed with the assumption that a transmissible disease is spreading among the prey species only. At first, the "semi-trivial" periodic solution (S(t), 0, 0) is given. After that, the existence of "infection-free" periodic solution (S(t). 0, P(t)) and the "predator-free" periodic solution have been obtained via bifurcation. Finally, the method of coincidence degree has been used to derive a set of sufficient conditions for the existence of at least one strictly positive periodic solution. Numerical simulations and a brief discussion conclude the paper.

• 出版日期2009-10
• 单位中北大学