一个潜伏期患病捕食者生态流行病模型。
An incubating diseased-predator ecoepidemic model.
作者信息
Tannoia Chiara, Torre Emiliano, Venturino Ezio
机构信息
Department of Mathematics "Giuseppe Peano", Università di Torino, via Carlo Alberto 10, 10123, Torino, Italy.
出版信息
J Biol Phys. 2012 Sep;38(4):705-20. doi: 10.1007/s10867-012-9281-9. Epub 2012 Sep 28.
We present a model for transmissible diseases spreading among predators in a predator-prey system. Upon successful contact, a susceptible individual becomes infected but is not yet able to spread the disease further. After an incubation period, the diseased individual becomes infectious. We investigate the system's equilibria by analytical and numerical means. For a suitable set of parameter values, the system shows persistent oscillations. The model also exhibits bistability of the coexistence equilibrium with the prey-only equilibrium.
我们提出了一个关于传染病在捕食者 - 猎物系统中的捕食者之间传播的模型。成功接触后，易感个体被感染，但尚不能进一步传播疾病。经过一段潜伏期后，患病个体具有传染性。我们通过解析和数值方法研究该系统的平衡点。对于一组合适的参数值，该系统呈现持续振荡。该模型还展示了共存平衡点与仅存在猎物平衡点的双稳性。
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