The analysis of deterministic and stochastic model with general information intervention

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS
Tan Yang, Yang Lin
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引用次数: 0

Abstract

In this paper, we propose an epidemic model with the impact of information intervention and general incidence rate in deterministic and stochastic environment, respectively. The information intervention prompts susceptible individuals to change their behavior to protect themselves from infection. First, the asymptotic dynamics of the disease-free equilibrium and the unique endemic equilibrium are analyzed and the results indicate that the basic reproduction number is a pointy disease threshold about the stability under some conditions. Then, we formulate the corresponding stochastic model by perturbing the disease transmission rate and information response rate parameters by white noise terms and provide verifiable sufficient conditions for extinction and persistence in mean. Two sufficient conditions for extinction show that if the noise intensity of the disease transmission rate is large enough or small enough, the infected population of the stochastic system will tend to go extinct. For the persistence, we get the sufficient conditions which guarantee the infected population to be persistent in the mean. Finally, we perform some numerical simulations to compare the dynamic behaviors of the deterministic and the stochastic system.
具有一般信息干预的确定性和随机模型分析
本文分别在确定性和随机环境下,建立了考虑信息干预影响和总发病率影响的传染病模型。信息干预促使易感个体改变自己的行为以保护自己免受感染。首先,对无病平衡点和唯一地方性平衡点的渐近动力学进行了分析,结果表明,在一定条件下,基本繁殖数是关于稳定性的一个点疾病阈值。然后,利用白噪声项对疾病传播率和信息响应率参数进行扰动,建立了相应的随机模型,并提供了均值灭绝和均值持续的可验证充分条件。灭绝的两个充分条件表明,如果疾病传播率的噪声强度足够大或足够小,随机系统的感染种群将趋于灭绝。对于持续性,我们得到了保证感染群体在均值上持续性的充分条件。最后,我们进行了一些数值模拟来比较确定性系统和随机系统的动态行为。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
ACS Applied Bio Materials
ACS Applied Bio Materials Chemistry-Chemistry (all)
CiteScore
9.40
自引率
2.10%
发文量
464
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