Stability of an Eco-Epidemiological System with Delay
Abstract: In this paper, a delayed eco-epidemiological system with a disease in prey is considered. Its dy-namics of stability and the effect of delay on this system have been studied. The system without delay is locally asymptotically stable at the internal equilibrium point. With the delay gradually increasing, the system will be unstable and occurHopf bifurcation. Finally, the numerical simula-tion is carried out to verify the conclusions. These results can predict the trend of the populations with disease, and provide a reliable theoretical basis for controlling the spread of disease in populations.
文章引用: 龚天蓉 , 赵维锐 (2016) 具有时滞的生态传染病系统的稳定性分析。 自然科学， 4， 103-109. doi: 10.12677/OJNS.2016.42012
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