具有垂直传播传染病模型的动力学分析

Abstract

Abstract: We constructed a hostparasite epidemic model with vertical transmission. Firstly, the local stability and global stability of model were analyzed by Jacobian matrix and BendixsonDulac theory. Secondly, the basic reproduction number of the model was given. Finally, the results were verified by numerical simulations.
The results show that the vertical transmission of parasites can reduce the density of the host, but will not lead to extinction of the host population.

Key words: stability, host extinction, epidemic model, numerical simulation

CLC Number:

O193

LI Xiaoping, HUANG Rong, LI Huilai. Dynamic Analysis of Epidemic Model with Vertical Transmission[J].Journal of Jilin University Science Edition, 2020, 58(3): 569-574.

[1]	YANG Jia, ZHANG Ruixia. Dynamic Analysis of SEIR Periodic Infectious Disease Transmission Model Based on Complex Networks [J]. Journal of Jilin University Science Edition, 2026, 64(3): 559-0567.
[2]	MENG Xin, GUO Jia. Fractional q-Difference Equations with Nonlocal q-Integral and Generalized Anti-periodic Boundary Conditions [J]. Journal of Jilin University Science Edition, 2026, 64(2): 236-0242.
[3]	WU Wenzhe, ZHANG Tailei. A Class of Stochastic SEIQR Monkeypox Propagation Models Based on Gaussian White Noise [J]. Journal of Jilin University Science Edition, 2026, 64(1): 49-0061.
[4]	LI Xianfeng, YANG Zhe, YAN Siyu, ZHANG Feng. Dynamic Analysis of Fishery Economic Models with Multi-agents under Nonlinear Demands [J]. Journal of Jilin University Science Edition, 2026, 64(1): 21-0027.
[5]	LI Yuanfei. Continuous Dependence of Heat Equation on Substrate Disturbance [J]. Journal of Jilin University Science Edition, 2025, 63(6): 1557-1564.
[6]	JIANG Longde, ZHANG Jiangang. Stochastic Bifurcation Analysis of Four-Roll Cold Strip Rolling Mill under Gaussian White Noise Excitation [J]. Journal of Jilin University Science Edition, 2025, 63(5): 1483-1488.
[7]	WU Lin, JIAO Jianjun. Analysis of Switching Dynamics Models of Systems with Pulse Time-Delay Harvesting and Birth [J]. Journal of Jilin University Science Edition, 2025, 63(5): 1269-1275.
[8]	ZHANG Jinlan, GAO Hongliang. Stability and Bifurcation Analysis of Predator-Prey Model with Alternative Prey and Michaelis-Menten Type Harvesting [J]. Journal of Jilin University Science Edition, 2025, 63(5): 1293-1301.
[9]	QIN Dandan, LI Yangqing, HUANG Wenzhu. B-Spline Finite Element Method for Solving Fourth-Order Semi-linear Parabolic Equation [J]. Journal of Jilin University Science Edition, 2025, 63(5): 1337-1347.
[10]	ZHANG Mengyao, HOU Qiang. Analysis of Information Communication Dynamics Model with Word-of-Mouth Effect [J]. Journal of Jilin University Science Edition, 2025, 63(4): 1018-1024.
[11]	WANG Jingwen, ZHAO Dongxia, WANG Yiyan, ZHANG Le. Delayed Feedback and Stability Analysis of a Class of Systems with Balance Laws [J]. Journal of Jilin University Science Edition, 2025, 63(3): 765-0775.
[12]	WANG Ke, LEI Ceyu, HAN Xiaoling. Stability and Bifurcation Analysis of Discrete SIVS Epidemic Model with Vaccination Items [J]. Journal of Jilin University Science Edition, 2025, 63(2): 331-0339.
[13]	FENG Shanshan, ZHANG Yongxin. Modeling and Analysis of Cooperation between Double Prey Populations against Predator Population [J]. Journal of Jilin University Science Edition, 2025, 63(2): 417-0424.
[14]	ZHANG Luchao, LIU Xiping, JIA Mei, YU Zhensheng. Existence, Uniqueness and Stability of Solutions of Conformable Fractional Differential Equation [J]. Journal of Jilin University Science Edition, 2025, 63(2): 287-0296.
[15]	LI Hongtian, ZUO Ping, ZHANG Bosen. Generalisation of Quasi-effective Stability for Nearly Integrable Hamiltonian Systems [J]. Journal of Jilin University Science Edition, 2025, 63(2): 340-0346.

Dynamic Analysis of Epidemic Model with Vertical Transmission

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 10