基于意識(shí)作用的復(fù)雜網(wǎng)絡(luò)上SIS模型的穩(wěn)定性
發(fā)布時(shí)間：2019-04-18 19:23
【摘要】：研究三種意識(shí)對(duì)疾病傳播的影響,建立了無標(biāo)度網(wǎng)絡(luò)上的SIS模型,并得到了該模型無病平衡點(diǎn)的穩(wěn)定性及傳播閾值。結(jié)果表明局部意識(shí)和接觸意識(shí)可以提高傳播率的閾值,全部意識(shí)對(duì)無病平衡點(diǎn)的穩(wěn)定性及傳播閾值沒有影響。最后利用數(shù)值模擬驗(yàn)證了理論結(jié)果。
[Abstract]:The influence of three kinds of consciousness on the spread of disease is studied. The SIS model on scale-free networks is established and the stability and transmission threshold of the disease-free equilibrium of the model are obtained. The results show that local consciousness and contact consciousness can improve the threshold of transmission rate, and all consciousness has no effect on the stability and transmission threshold of disease-free equilibrium. Finally, the theoretical results are verified by numerical simulation.
【作者單位】： 山西大學(xué)數(shù)學(xué)科學(xué)學(xué)院;
【基金】：國(guó)家自然科學(xué)基金(11471197)
【分類號(hào)】：O157.5
本文編號(hào)：2460272
[Abstract]:The influence of three kinds of consciousness on the spread of disease is studied. The SIS model on scale-free networks is established and the stability and transmission threshold of the disease-free equilibrium of the model are obtained. The results show that local consciousness and contact consciousness can improve the threshold of transmission rate, and all consciousness has no effect on the stability and transmission threshold of disease-free equilibrium. Finally, the theoretical results are verified by numerical simulation.
【作者單位】： 山西大學(xué)數(shù)學(xué)科學(xué)學(xué)院;
【基金】：國(guó)家自然科學(xué)基金(11471197)
【分類號(hào)】：O157.5
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，本文編號(hào)：2460272
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