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QUALITATIVE ANALYSIS OF HEPATITIS B VIRUS INFECTION MODEL WITH IMPULSIVE VACCINATION AND TIME DELAY
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作者 乔梅红 齐欢 陈迎春 《Acta Mathematica Scientia》 SCIE CSCD 2011年第3期1020-1034,共15页
According to the epidemic state, propagation mode and transformation between HBV infection states,the Hepatitis B Virus (HBV) infection with impulsive vaccination and time delay are modelled and analyzed. The contro... According to the epidemic state, propagation mode and transformation between HBV infection states,the Hepatitis B Virus (HBV) infection with impulsive vaccination and time delay are modelled and analyzed. The control methods of impulsive vaccination and active therapy are adopted. By using comparative theorem of impulsive differential equation, the sufficient conditions that Hepatitis B Virus will be eliminated eventually or be persistent are derived. 展开更多
关键词 impulsive vaccination time delay globally asymptotical stability PERSISTENCE
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GLOBAL ASYMPTOTIC STABLE ERADICATION FOR THE SIV EPIDEMIC MODEL WITH IMPULSIVE VACCINATION AND INFECTION-AGE 被引量:7
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作者 Helong LIU Jingyuan YU Guangtian ZHU 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2006年第3期393-402,共10页
We study the application of a pulse vaccination strategy to eradicate the slowly progressing diseases that have infectiousness in latent period. We derive the condition in which eradication solution is a global attrac... We study the application of a pulse vaccination strategy to eradicate the slowly progressing diseases that have infectiousness in latent period. We derive the condition in which eradication solution is a global attractor, this condition depends on pulse vaccination proportion p. We also obtain the condition of the global asymptotic stability of the solution. The condition shows that large enough pulse vaccination proportion and relatively small interpulse time lead to the eradication of the diseases. Moreover the results of the theoretical study might be instructive to the epidemiology of HIV. 展开更多
关键词 Epidemic model global attractor global asymptotic stability impulsive vaccination infection-age.
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A delayed SEIRS epidemic model with impulsive vaccination and nonlinear incidence rate
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作者 Jiancheng Zhang and Jitao Sun 《International Journal of Biomathematics》 2014年第3期149-162,共14页
In this paper, a delayed SEIRS epidemic model with nonlinear incidence rate and impul- sive vaccination is investigated. In vaccination strategy, we perform impulsive vaccina- tion of newborn infants. Using the discre... In this paper, a delayed SEIRS epidemic model with nonlinear incidence rate and impul- sive vaccination is investigated. In vaccination strategy, we perform impulsive vaccina- tion of newborn infants. Using the discrete dynamic system determined by stroboscopic map, we obtain an infection-free periodic solution and establish conditions, on which the solution is globally attractive. We also conclude that the disease is permanent if the parameters of the model satisfy appropriate conditions. Finally, we illustrate the effec- tiveness of our theorems with numerical simulation. The results obtained in this paper are a good extension of the results obtained in [J. Hou and Z. Teng, Continuous and impulsive vaccination of SEIR epidemic models with saturation incidence rate, Math. Comput, Simulat. 79 (2009) 3038 3054] to the corresponding delayed SEIRS epidemic model with nonlinear incidence rate and impulsive vaccination. 展开更多
关键词 SEIRS impulsive vaccination DELAY globally attractive permanence.
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Existence of Positive Periodic Solutions for the SIV Epidemic Model with Impulsive Vaccination and Infection-Age
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作者 Helong Liu Qixue Dai +1 位作者 Jingyuan Yu Guangtian Zhu 《Journal of Systems Science and Information》 2006年第1期177-182,共6页
In this paper, we discuss the SIV epidemic model with impulsive vaccination and infection-age. Bifurcation theory and Lyapunov-Schmidt series expansion are used to show the existence of the positive periodic solutions... In this paper, we discuss the SIV epidemic model with impulsive vaccination and infection-age. Bifurcation theory and Lyapunov-Schmidt series expansion are used to show the existence of the positive periodic solutions under some conditions. 展开更多
关键词 SIV epidemic model INFECTION-AGE impulsive vaccination positive periodic solution
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Differential Susceptibility SIR Epidemic Model with Time Delay and Pulse Vaccination 被引量:7
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作者 ZHANG Xiu-quan ZHAO Zhong 《Chinese Quarterly Journal of Mathematics》 CSCD 2010年第2期228-235,共8页
Differential susceptibility SIR epidemic models with time delay and pulse vaccination is studied in this paper. We show that there exists an infection-free periodic solution by using the comparison method, which is gl... Differential susceptibility SIR epidemic models with time delay and pulse vaccination is studied in this paper. We show that there exists an infection-free periodic solution by using the comparison method, which is globally attractive provided that R1 〈 1, and that R2 〉 1 implies the disease is permanent, which means that after some period of time the disease will become endemic. 展开更多
关键词 impulsive vaccination periodic solution global attractivity PERMANENCE
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Analysis On an SEIRS Epidemic Model with Pulse Vaccination and Two Time Delays 被引量:3
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作者 GAO Jian-zhong ZHANG Tai-lei 《Chinese Quarterly Journal of Mathematics》 2019年第1期75-87,共13页
In this paper, an SEIRS epidemic model with pulse vaccination and two time delays is proposed. By using stroboscopic map and comparison principle, the disease-free periodic solution(DFPS for short) is obtained and the... In this paper, an SEIRS epidemic model with pulse vaccination and two time delays is proposed. By using stroboscopic map and comparison principle, the disease-free periodic solution(DFPS for short) is obtained and the global asymptotic stability of the DFPS is proved. The sufficient conditions for the permanence of the model are obtained. In addition, numerical simulations are done to confirm our theoretical results. 展开更多
关键词 impulsive vaccination time delay threshold values global stability PERMANENCE
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