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具有时滞的生态-流行病SIS模型的稳定性和Hopf分支 被引量：1

Stability and Hopf Bifurcation of An Eco-Epidemiological SIS Model with Delays
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摘要 该文考虑一类含有时滞的捕食者染病的生态—流行病SIS模型,主要利用特征根法讨论了平衡点的存在性及其稳定性,证明了当时滞τ=0时,正平衡点是局部渐近稳定的,随着时滞增加,正平衡点由稳定变为不稳定,系统在正平衡点附近产生Hopf分支。 A delayed SIS predator- prey epidemiologieal system with disease spreading in predator population is considered. Using the method of characteristic equation the existence and stability of the equilibrium point are ana- lyzed. Positive equilibrium is locally asymptotically stable when time delay T = 0 is showed. While a loss of stability by a Hopf bifurcation can occur as the delays increase.
作者 赵红妮 窦霁虹 刘艺艺
机构地区 西北大学数学系
出处 《延安大学学报（自然科学版）》 2013年第2期26-30,共5页 Journal of Yan'an University：Natural Science Edition
基金 陕西省教育厅自然科学专项基金(11JK0511)
关键词 生态-流行病模型 渐近稳定 HOPF分支 predator - prey model asymptotically stable Hopf bifurcation
分类号 O175.12 [理学—基础数学]
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参考文献6

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二级参考文献5

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共引文献26

同被引文献9

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  • 8Ding Yuting, Jiang Weihua, Yu Pei. Bifurcation analysis in a recurrent neural network model with delays [ J ]. Communica- tions in Nonlinear Science and Numerical Simulation,2013, 18(2) : 351 -372.
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引证文献1

延安大学学报（自然科学版）
2013年 第2期

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