摘要
研究了一类具有终宿主产卵期和中间宿主虫卵成熟期两时滞的包虫病传播动力学模型,得到了决定系统动力学行为的阈值R_0,当R_0<1时,证明了未感染平衡点是局部渐近稳定的;当R_0>1时,得到了感染平衡点是局部渐近稳定的充分条件。通过数值仿真验证了理论结果并探讨了时滞对系统动力学行为的影响,且发现若时滞在一定的范围内系统存在周期解.
We investigate a dynamic model of echinococcosis transmission with definitive host incubation periods delay and intermediate host maturation periods delay.The threshold values which determined the dynamics behaviors of system is obtained.When R_01,the locally stability of the uninfected equilibrium is proved.When R_01,a sufficient condition of the locally stability of the infected equilibrium is obtained.The theoretics results is validated by numerical simulation and the effects of the delays to the dynamics behaviors of system is discussed.Furthermore, system exists a periodic solution if the delay in a specific ranges.
出处
《生物数学学报》
CSCD
北大核心
2011年第3期441-450,共10页
Journal of Biomathematics
基金
宁夏自然科学基金项目(NZ10228)
关键词
包虫病
传播
时滞
稳定性
周期解
Echinococcosis
Transmission
Delays
Stability
Periodic solution
