摘要
对疾病仅在食饵种群传播的有比例依赖的捕食-被捕食系统的动力学进行了分析,给出了每个平衡点附近系统的性态,定义了决定疾病灭绝和成为地方病的阁值R_0．得出的结论是:在比例依赖的捕食-被捕食系统中,染病食饵种群可以充当一个生物控制量,以抑制种群的绝灭．
The present paper deals with the parametric analysis of ratiodependent predator-prey system in which a disease is spreading among the prey species only. We have analyzed the behavior of the system around each equilibrium. Thresh-old R0 is identified which determine when the disease dies out and when it is endemic. Our final conclusion is that introduction of infected prey species in the ratio-dependent predator-prey model may act as a biological control to prevent the population from extinction.
出处
《生物数学学报》
CSCD
北大核心
2007年第1期13-24,共12页
Journal of Biomathematics
关键词
生态流行病学
稳定性
分支
生物控制
Eco-epidemiology
Stability
Bifurcations
Biological control
