具有季节性繁殖和传播的禽类流感离散模型。
A discrete model of avian influenza with seasonal reproduction and transmission.
机构信息
Key Laboratory of Eco-environments in Three Gorges Reservoir Region, School of Mathematics and Statistics, Southwest University, Chongqing, 400715, People's Republic of China.
出版信息
J Biol Dyn. 2010 May;4(3):296-314. doi: 10.1080/17513751003793009.
In this paper, we formulate a discrete-time model with the reproductive and overwintering periods to assess the impact of avian influenza transmission in poultry. It is shown that the disease is extinct if the basic reproduction number is less than one and is persistent if the basic reproductive number is greater than one. Furthermore, the model admits a closed invariant cycle, which means that avian influenza fluctuates in poultry.
本文建立了一个具有繁殖和越冬期的离散时间模型，以评估禽流感在禽类中的传播影响。结果表明，如果基本繁殖数小于 1，则疾病会灭绝，如果基本繁殖数大于 1，则疾病会持续存在。此外，该模型存在一个封闭的不变环，这意味着禽流感在禽类中会出现波动。
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