SEI1I2QR传染病模型的动力学分析与应用

Journal of Jilin University Science Edition ›› 2023, Vol. 61 ›› Issue (3): 443-448.

Dynamic Analysis and Application of SEI₁I₂QR Infectious Disease Model

XU Wenda¹, XU Lican¹, YU Feifan², LIU Suli¹

1. College of Mathematics, Jilin University, Changchun 130012, China；2. School of Business Administration, Hong Kong Baptist University, Hongkong 999077, China

Received:2022-10-03 Online:2023-05-26 Published:2023-05-26

Abstract

Abstract: Firstly, we established a class of SEI₁I₂QR infectious disease models that included transmission mode of asymptomatic infected individuals. Secondly, by using the next generation matrix method, we calculated the basic reproduction number of the model, performed the dynamic analysis of the model, and gave the threshold conditions for the extinction and outbreak of infectious disease. Finally, combined with epidemic data, the sensitivity of the model parameters were analyzed through numerical simulations.

Key words: dynamics of infectious disease; , numerical simulation, basic reproduction number, stability

CLC Number:

O175.1

XU Wenda, XU Lican, YU Feifan, LIU Suli. Dynamic Analysis and Application of SEI₁I₂QR Infectious Disease Model[J].Journal of Jilin University Science Edition, 2023, 61(3): 443-448.

[1]	HE Zipeng, DONG Yaying. Coexistence Solutions of Lotka-Volterra Competitive Systems with Nonlinear Cross Diffusion [J]. Journal of Jilin University Science Edition, 2023, 61(3): 459-468.
[2]	BAI Yujie, YANG He. Ulam-Hyers Stability for a Class of Riemann-Liouville Fractional Stochastic Evolution Equations with Delay [J]. Journal of Jilin University Science Edition, 2023, 61(3): 483-489.
[3]	XIANG Nan, LIN Hongyan, WAN Aying. Turing Instability of Periodic Solutions for Reaction-Diffusion Schnakenberg System [J]. Journal of Jilin University Science Edition, 2023, 61(2): 259-264.
[4]	FENG Yuejiao, LIU Baoliang, ZHANG Xiuzhen. Implicit Difference Scheme and Its Stability and Convergence Analysis for Continuous Up-and-Out Paris Option Pricing [J]. Journal of Jilin University Science Edition, 2023, 61(2): 265-274.
[5]	GUO Gaihui, GUO Feiyan, LI Jichun. Turing Instability and Hopf Bifurcation for Arbitrary Order Autocatalysis Reaction-Diffusion Model with Saturation Effect [J]. Journal of Jilin University Science Edition, 2023, 61(1): 15-22.
[6]	SUN Yinyou, GUO Lihui, LIU Dongdong. Riemann Problem of a Simplified Chemotaxis Model with Dirac Functions in Initial Value [J]. Journal of Jilin University Science Edition, 2023, 61(1): 32-40.
[7]	YU Nan, ZHAO Jiantao. Dynamic Properties of a Class of Bacterial Toxin-Dependent Pathogenesis Model [J]. Journal of Jilin University Science Edition, 2022, 60(6): 1292-1300.
[8]	LUAN Zhiman. Rayleigh-Marangoni Convective Instability Analysis of Jeffreys Fluids in Two Layer System [J]. Journal of Jilin University Science Edition, 2022, 60(6): 1430-1438.
[9]	SUN Cong, SONG Wenjing, YAN Dongze. Existence and Asymptotic Stability of Traveling Wave Solutions for a Class of Hyperbolic Equations [J]. Journal of Jilin University Science Edition, 2022, 60(5): 1064-1068.
[10]	WANG Ying, WANG Lingzhi. Coupled Infectious Disease Model with Intracellular Time Delay [J]. Journal of Jilin University Science Edition, 2022, 60(4): 784-792.
[11]	YAO Jiajia, SHEN Wei. Stability of a Class of Prey-Predator Model and Existence of Hopf Bifurcation [J]. Journal of Jilin University Science Edition, 2022, 60(2): 225-230.
[12]	ZHANG Guoping, LI Shunxin, LV Chao, XU Ying. Wearable and Self-powered Perovskite Photodetector with Long-Term Stability Based on Polyester-Cotton Cloth [J]. Journal of Jilin University Science Edition, 2021, 59(6): 1562-1568.
[13]	WANG Han, LI Huilai, LI Wenxuan. Dynamic Behaviors of a Measles Model Based on Secondary Vaccine Failure [J]. Journal of Jilin University Science Edition, 2021, 59(5): 1003-1008.
[14]	MA Xiaoqi, ZHAO Zhitao. Dynamic Analysis of a Class of Plant-Herbivore Diffusion System [J]. Journal of Jilin University Science Edition, 2021, 59(5): 1057-1065.
[15]	QIAN Rong, XIAO Min, WANG Lu. Stability Analysis of Fractional-Order SIR Epidemic Models with Different Orders [J]. Journal of Jilin University Science Edition, 2021, 59(4): 796-806.

Dynamic Analysis and Application of SEI₁I₂QR Infectious Disease Model

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 0

Dynamic Analysis and Application of SEI1I2QR Infectious Disease Model

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 0

Dynamic Analysis and Application of SEI₁I₂QR Infectious Disease Model