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带有脉冲免疫和传染年龄的SIV传染病模型解的存在性

Existence of Solution for the SIV Epidemic Modelwith Impulsive Vaccination and Infection-Age
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摘要 我们建立带有脉冲免疫和传染年龄的SIV传染病模型,这类传染病在潜伏期具有传染性,总人口规模依赖时间,并且传染类的康复率和传染年龄有关.我们证明此类模型解存在唯一. In this paper, we establish the SIV epidemic model with impulsive vaccination and age of infection, which describes the diseases that have infectiousness in latent period, and the population size changes with time. We prove the model exists unique solution.
出处 《数学的实践与认识》 CSCD 北大核心 2005年第5期131-136,共6页 Mathematics in Practice and Theory
关键词 传染病模型 SIV 解的存在性 年龄 免疫 脉冲 存在唯一 人口规模 传染性 潜伏期 模型解 时间 impulsive vaccination impulsive differential equation infection-age epidemic dynamic model
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  • 1Simeonov P S. Existence, uniqueness and continuability of the solutions of systems with impulse effect[J].Godishnik VUZ Appl, 1986, 22:69-78.
  • 2Bainov D D, Dishliev A B. Contonuous dependence on the initial condition of the solution of a system of differential equations with variable structure and wity impulse[J]. Publ RIMS Kyoto Univ, 1987, 23:923 -936.
  • 3Simeonov P S. Continuous dependeuce of the solutions of systems with impulse effect[J]. Godishink VUZ Appl Math, 1986, 22: 57-67.
  • 4Simeonov P S, Bainov D D. Exponential stability of the solutions of the initial-value problem for systems with impulse effect[J]. J Computational and Appl Math, 1988, 23: 353-365.
  • 5Bainov D D, Lulev G. Application of Lyapunov's directmethod to the investigation of global stability of solutions of systems with impulsive effect[J]. Appl Anal, 1988, 26:255-270.
  • 6Bainov D D, Hristova S G. Existence of periodic solutions of nonlinear systems of differential equations with impulse effect[J]. J Math Anal Appl, 1987, 125:192-202.
  • 7Gutu Vl. Periodic solutions of one-and two-dimensionale quations with impulses[J]. J Differential Equations,1990, 26: 904-906.
  • 8Erbe L H, Liu X Z. Existence of periodic solutions of impulsive differential systems[J]. J Appl Math Stochastic Anal, 1991, 4:137-146.
  • 9Cooke C H, Kroll J. The existence of periodic solutions to certain impulsive differential equations[J]. Computers and Mathematics with Applications, 2002, 44:667-676.
  • 10Angelova J. Dishliev A. Optimization problems in population dynamics[J]. Appl Anal, 1998, 69: 207-221.

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