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| Diffusion-induced Spatio-temporal Oscillations in an Epidemic Model with Two Delays | |
| 作者姓名： | Yan-fei DU Ben NIU Jun-jie WEI |
| 作者单位： | School of Mathematics;School of Mathematics&Data Science;Department of Mathematics;School of Science |
| 基金项目： | supported by National Natural Science Foundation of China(No.11901369,No.61872227,No.12071268 and No.11771109);Natural Science Basic Research Plan in Shaanxi Province of China(grant No.2020JQ-699);Shandong Provincial Natural Science Foundation(No.ZR2019QA020)。 |
| 摘 要： | We investigate a diffusive, stage-structured epidemic model with the maturation delay and freelymoving delay. Choosing delays and diffusive rates as bifurcation parameters, the only possible way to destabilize the endemic equilibrium is through Hopf bifurcation. The normal forms of Hopf bifurcations on the center manifold are calculated, and explicit formulae determining the criticality of bifurcations are derived. There are two different kinds of stable oscillations near the first bifurcation: ... |
| 关 键 词： | epidemic model stage structure delay DIFFUSION Hopf bifurcation spatio-temporal oscillation |
Diffusion-induced Spatio-temporal Oscillations in an Epidemic Model with Two Delays |
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| Yan-fei DU,Ben NIU,Jun-jie WEI.Diffusion-induced Spatio-temporal Oscillations in an Epidemic Model with Two Delays[J].Acta Mathematicae Applicatae Sinica,2022,38(1):128-153. | |
| Authors: | Du Yan-fei Niu Ben Wei Jun-jie |
| Institution: | 1.School of Mathematics, Harbin Institute of Technology, Harbin, 150001, China ;2.School of Mathematics & Data Science, Shaanxi University of Science and Technology, Xi’an, 710021, China ;3.Department of Mathematics, Harbin Institute of Technology, Weihai, 264209, China ;4.School of Science, Jimei University, Xiamen, 361021, China ; |
| Abstract: | Acta Mathematicae Applicatae Sinica, English Series - We investigate a diffusive, stage-structured epidemic model with the maturation delay and freely-moving delay. Choosing delays and diffusive... |
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